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QUEST Geometry Scavenger Hunt - PowerPoint PPT Presentation

QUEST Geometry Scavenger Hunt. Cortney Groce Rayvinder Mann Deborah McMeekin Maria Negrete HUMBLE ISD.

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Presentation Transcript

Cortney Groce

Rayvinder Mann

Deborah McMeekin

Maria Negrete

HUMBLE ISD

We may think of a point as a "dot" on a piece of paper. We identify this point with a number or letter. A point has no length or width, it just specifies an exact location. In a textbook we could see a point like this:

Point

The point image was found at Google.com.

Point-Man Made identify this point with a number or letter. A point has no length or width, it just specifies an exact location. In a textbook we could see a point like this: Pyramid

This ancient building is has a man made point on the top.

The image was found at Google.com.

POINT-Natural identify this point with a number or letter. A point has no length or width, it just specifies an exact location. In a textbook we could see a point like this: Mountain Top

A mountain tip is an example of natural point.

The image was found at Google.com.

Two lines in the same plane which never intersect are called parallel lines. We say that two line segments are parallel if the lines that they lie on are parallel. In a textbook we could see parallel lines like this:

Parallel Lines

The parallel line image was found at Google.com.

Parallel Lines-Man Made parallel lines. We say that two line segments are parallel if the lines that they lie on are parallel. In a textbook we could see parallel lines like this:Railroad Tracks

A railway track is an example of man made parallel lines because the distance has to stay the same in order for the train to travel on them.

The image was found at Google.com.

Parallel Lines-Natural parallel lines. We say that two line segments are parallel if the lines that they lie on are parallel. In a textbook we could see parallel lines like this:Palm Trees

The growth of the palm trees are forming parallel lines. The trees never cross or intersect on another.

The image was found at Google.com.

A pythagorean triple is a set of three integers parallel lines. We say that two line segments are parallel if the lines that they lie on are parallel. In a textbook we could see parallel lines like this:a, b, c such that a2 + b2 = c2. In a textbook we could see a pythagorean triple like this:

Pythagorean Triple

This image was found at Google.com.

Pythagorean Triple-Man Made parallel lines. We say that two line segments are parallel if the lines that they lie on are parallel. In a textbook we could see parallel lines like this:Kite

The outlined part of this kite is an example of pythagorean triple.

This image was found at Google.com.

Pythagorean Triple-Natural parallel lines. We say that two line segments are parallel if the lines that they lie on are parallel. In a textbook we could see parallel lines like this:Orange

The inside of the orange contains a right triangle.

This image was found at Google.com.

A geometric pattern that is repeated at ever smaller scales to produce irregular shapes and surfaces that cannot be represented by classical geometry. Fractals are used especially in computer modeling of irregular patterns and structures in nature. In a textbook we could see a fractal like this:

Fractal

This image was found at Google.com.

Fractal-Man Made to produce irregular shapes and surfaces that cannot be represented by classical geometry. Fractals are used especially in computer modeling of irregular patterns and structures in nature. In a textbook we could see a fractal like this:Rug

This braded rug is an example of man made fractal between the patterns repeat themselves.

This image was found at Google.com.

Fractal-Natural to produce irregular shapes and surfaces that cannot be represented by classical geometry. Fractals are used especially in computer modeling of irregular patterns and structures in nature. In a textbook we could see a fractal like this:Broccoli

Broccoli is an example of natural fractal figure because of the designs it contains.

This image was found at Google.com.

An oval is an egg-shaped or elliptical form or figure. In a textbook we could see an oval like this:

Oval

This image was found at Google.com.

Oval-Man Made textbook we could see an oval like this: Serving Tray

The serving tray is a shape of an oval.

This image was found at Google.com.

Oval-Natural textbook we could see an oval like this: Eggs

The eggs are shaped like an oval.

This image was found at Google.com.

Two figures are congruent if they have the same shape and size. In a textbook we could see congruent items like this:

Congruent Items

This images were found at Google.com.

Congruent Items- Man Made size. In a textbook we could see congruent items like this:Teddy bears

The two teddy bears are the same shape and size.

This image was found at Google.com.

Congruent Items- Natural size. In a textbook we could see congruent items like this:Bees

The two bees are congruent because they have the same shape and size.

This image was found at Google.com.

Ray size. In a textbook we could see congruent items like this:

This image was found on Google.com.

We may think of a ray as a "straight" line that begins at a certain point and extends forever in one direction. The point where the ray begins is known as its endpoint. We write the name of a ray with endpoint A and passing through a point B as "ray AB“. In a textbook we could see a ray like this:

Ray-Man Made size. In a textbook we could see congruent items like this:One Way Sign

This arrow in this sign is an example of man made ray.

This image was found at Google.com.

Ray-Natural size. In a textbook we could see congruent items like this:Flower

The lines on this flower are the natural rays.

This image was found at Google.com.

A pentagon is a five-sided polygon. The sum of the angles of a pentagon is 540 degrees. In a textbook we could see a pentagon like this:

Pentagon

This image was found at Google.com.

Pentagon- Man Made a pentagon is 540 degrees. In a textbook we could see a pentagon like this:House

The house is in a shape of a pentagon. It contains five sides.

This image was found at Google.com.

Pentagon- Natural a pentagon is 540 degrees. In a textbook we could see a pentagon like this:Rocks

The rock at the bottom has five sides.

This image was found at Google.com.

An ellipse is a closed plane curve resulting from the intersection of a circular cone and a plane cutting completely through it. In a textbook we could see an ellipse like this:

Ellipse

The ellipse is a clip art picture found at Google.com.

Ellipse- Man Made intersection of a circular cone and a plane cutting completely through it. Plastic Easter Eggs

The Easter eggs have to stay as realistic as possible to the form of a regular egg.

The picture of the Easter eggs was found at Google.com

Ellipse-Natural intersection of a circular cone and a plane cutting completely through it. Orbit of the Planets

The planets must travel in an ellipse shape in order to maintain balance.

The picture of this orbit was found at http://www.vt-2004.org/mt-2003/mt-mercury-orbit.html.

A prism is a space figure with two congruent, parallel bases that are polygons. In a textbook we could see a prism like this:

Prism

The prisms is a clip art picture found at Google.com.

Prism-Man Made that are polygons. A Tent

A tent is composed of two congruent parallel bases (the bases are triangles) and has the same cross section all along its length.

This picture was found at Google.com.

Prism- Natural that are polygons. Diamond

The diamond varies in proportion from a square to a thin rectangular shape.

The picture was found at Google.com

A line extends forever in both directions. We write the name of a line passing through two different points A and B as "line AB" or as , the two-headed arrow over AB signifying a line passing through points A and B. In a textbook we could find a line like this:

Line

The line is a clip art picture found at Google.com.

Line-Man Made of a line passing through two different points A and B as "line AB" or as , the two-headed arrow over AB signifying a line passing through points A and B. Rope

The rope must be a straight line in order for the man to come down.

The picture was found in clipart.

Line-Natural of a line passing through two different points A and B as "line AB" or as , the two-headed arrow over AB signifying a line passing through points A and B. Cactus

The growing thorns on the cactus form a line.

The picture was found at Google.com.

Transversal of a line passing through two different points A and B as "line AB" or as , the two-headed arrow over AB signifying a line passing through points A and B.

A transversal is a line that passes through (transverses) two other lines. In a textbook we could see a transversal like this:

The transversal is a clip art picture found at Google.com.

Transversal- Man Made of a line passing through two different points A and B as "line AB" or as , the two-headed arrow over AB signifying a line passing through points A and B. Map

The blue street is intersecting the parallel streets at two different times.

This picture was found at Google.com.

Transversal- Natural of a line passing through two different points A and B as "line AB" or as , the two-headed arrow over AB signifying a line passing through points A and B. Spider Web

The spider web consist of lines that are intersected by other lines in more than two occasions.

The picture of the spider web was at Goggle.com.

A quadrilateral is four-sided polygon. In of a line passing through two different points A and B as "line AB" or as , the two-headed arrow over AB signifying a line passing through points A and B. a textbook we could see a quadrilateral like this:

Quadrilateral-Man Made of a line passing through two different points A and B as "line AB" or as , the two-headed arrow over AB signifying a line passing through points A and B. Picture Frame

The picture frame contains four sides which makes it a quadrilateral.

The picture was found in clip art.

Quadrilateral- Natural of a line passing through two different points A and B as "line AB" or as , the two-headed arrow over AB signifying a line passing through points A and B. Glacier

The glacier is a quadrilateral because it has four sides.

This picture was found at Google.com.

Figures that have the same shape are called similar figures. They may be different sizes or turned somewhat. In a textbook we could see similar items like this:

Similar Items

The similar items is a clip art picture found at Google.com.

Similar Items- Man Made figures. They may be different sizes or turned somewhat. Pants

Both pants are the same shape, but different size.

The picture was found at Google.com.

Similar Items- Natural figures. They may be different sizes or turned somewhat. Dog

The puppy and mother are similar because they have the same shape. The only difference is their size.

The picture was found at Google.com.

Cylinder figures. They may be different sizes or turned somewhat.

A cylinder is a space figure having two congruent circular bases that are parallel. In a textbook we could see a cylinder like this:

The cylinder is a clip art picture found at Google.com.

Cylinder- Man Made figures. They may be different sizes or turned somewhat. Coke Can

The coke can is a cylinder shape. It contains two congruent circular bases.

The picture was found at Google.com.

Cylinder- Natural figures. They may be different sizes or turned somewhat. Green Beans

The green beans have two congruent circular bases. One on the top and the other at the bottom.

The picture was found at Google.com.

Sphere figures. They may be different sizes or turned somewhat.

The sphere is a clip art picture found at Google.com.

A sphere is a space figure having all of its points the same distance from its center. The distance from the center to the surface of the sphere is called its radius. In a textbook we could see sphere like this:

Sphere- Man Made figures. They may be different sizes or turned somewhat. Bowling Ball

The bowling ball has to be in the shape of a sphere in order for it to row down the aisle and knock down the pins.

The picture was found in clip art.

Sphere- Natural figures. They may be different sizes or turned somewhat. Planet-Jupiter

The planet Jupiter is in the shape of a sphere. The distance is the same from all the points.

The picture was found on clip art.

Intersecting Line figures. They may be different sizes or turned somewhat.

Lines that intersect in a point are called intersecting lines. In a textbook we could see intersecting line like this:

The intersecting line is a clip art found at Google.com.

Intersecting Lines figures. They may be different sizes or turned somewhat. - Man MadeWindow

The lines in the window intersect at a point creating intersecting lines.

The window is a clip art picture found at Google.com

Intersecting Lines figures. They may be different sizes or turned somewhat. - NaturalWood

The lines in the wood intersect at a point creating interesting lines.

The wood is a clip art picture found at Google.com.

Angle figures. They may be different sizes or turned somewhat.

Two rays that share the same endpoint form an angle. In a textbook we could see an angle like this:

The angles are a clip art picture found at Google.com

Angles- Natural figures. They may be different sizes or turned somewhat. Sun Rays

The rays from the sun meet at a point creating acute angles.

The sun ray is a clip art picture found at Google.com

Angles- Man Made figures. They may be different sizes or turned somewhat. Baseball Diamond

The baseball diamond meets at a point (home plate) creating a right angle.

The sun ray is a clip art picture found at Google.com

Chord figures. They may be different sizes or turned somewhat.

A chord is a line segment with its endpoints on a circle. In a textbook we could see a chord like this:

The chord is a clip art picture found at Google.com

Chord- Natural figures. They may be different sizes or turned somewhat. Watermelon

The lines in the watermelon go from one side of the watermelon to the opposite side creating a chord.

The watermelon is a clipart picture from Google.com

Chord- Man Made figures. They may be different sizes or turned somewhat. Basketball

The lines on the basketball go from one side of the ball to the opposite side creating a chord.

Circle figures. They may be different sizes or turned somewhat.

A circle is the collection of points in a plane that are all the same distance from a fixed point. The fixed point is called the center. A line segment joining the center to any point on the circle is called a radius. In a textbook we could see a circle like this:

The circle is a clip art picture found at Google.com

Circle- Natural figures. They may be different sizes or turned somewhat. Sun

The sun has no angles and is symmetrical creating a circle.

The sun is a clip art picture found at Google.com

Circle- Man Made figures. They may be different sizes or turned somewhat. Ring

The ring has no angles and is symmetrical creating a circle (excluding the diamond).

The ring is a clip art picture found at Google.com

Tangent figures. They may be different sizes or turned somewhat.

If angle A is an acute angle in a right triangle, the tangent of A is the length of the side opposite to angle A divided by the length of the side adjacent to angle A. We often abbreviate this as tan A = (opposite)/(adjacent). In a textbook we could see tangent like this:

The tangent is a clip art picture found at Google.com

Tangent- Natural figures. They may be different sizes or turned somewhat. Leaf

The veins in the leaf touch a point on the main vein of the leaf and go through the main vain once.

The leaf is clip art picture found at Google.com.

Tangent- Man Made figures. They may be different sizes or turned somewhat. Baseball

The thread in the baseball touch at one point on the main thread of the baseball and go through the main thread once.

The baseball is a clipart picture found at Google.com.

Plane figures. They may be different sizes or turned somewhat.

A plane is a flat, two-dimensional object. A plane can be defined by two intersecting lines or by three non-collinear points. In a textbook we could see a plane like this:

The plane is a clip art picture found at Google.com

Plane- Natural figures. They may be different sizes or turned somewhat. Field

The field is a flat surface creating a plane.

The field is a clip art picture found at Google.com

Plane- Man Made figures. They may be different sizes or turned somewhat. Table Top

The table top is a flat surface creating a flat surface.

The table is a clip art picture found at Google.com

Triangle figures. They may be different sizes or turned somewhat.

A three-sided polygon. The sum of the angles of a triangle is 180 degrees. In a textbook we could see a triangle like this:

The triangle is a clip art picture found at Google.com

Triangle- Natural figures. They may be different sizes or turned somewhat. Pyramids

The flat side of the pyramid has three angles creating a triangle.

The pyramid is a clip art picture found at Google.com

Triangle- Man Made figures. They may be different sizes or turned somewhat. Yield Sign

The yield sign has three angels creating a triangle.

The yield sign is a clip art picture found at Google.com

Cube figures. They may be different sizes or turned somewhat.

A cube is a three-dimensional figure having six matching square sides. In a textbook we could see a cube like this:

The cube is a clip art picture found at Google.com

Cube- Natural figures. They may be different sizes or turned somewhat. Corn Kernel

The kernels of the corn have six corners, is three dimensional and has six sides creating a cube.

The cube is a clip art picture found at Google.com

Cube- Man Made figures. They may be different sizes or turned somewhat. Rubiks Cube

The rubiks cube has six corners, is three dimensional and has six sides creating a cube.

The rubiks cube is a clip art picture found at Google.com

Square figures. They may be different sizes or turned somewhat.

A four-sided polygon having equal-length sides meeting at right angles. The sum of the angles of a square is 360 degrees. In a textbook we could see a square like this:

The square is a clip art found by askjeeves.com.

Square-Man Made figures. They may be different sizes or turned somewhat. Windows

The windows in this room demonstrate a man made square.

The square image was found by askjeeves.com.

Square-Natural figures. They may be different sizes or turned somewhat. Rocks

Rocks can form natural squares.

The square image was found by askjeeves.com.

Cone figures. They may be different sizes or turned somewhat.

A cone is a space figure having a circular base and a single vertex. In a textbook we could see a cone like this:

The cone image was found by askjeeves.com.

Cone-Man Made figures. They may be different sizes or turned somewhat. Highway Cones

Highway cones are an example of a man made cone.

The cone image was found by askjeeves.com.

Cone- Natural figures. They may be different sizes or turned somewhat. Seashells

This picture shows how seashells form natural cones.

The cone image was found by askjeeves.com.

Parabola figures. They may be different sizes or turned somewhat.

A plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the cone or by the locus of points equidistant from a fixed line and a fixed point not on the line. In a textbook we could see a parabola like this:

The parabola image was found by askjeeves.com.

Parabola-Man made figures. They may be different sizes or turned somewhat. McDonald’s Sign

McDonald’s logo of the golden arches represent a parabola.

The image was found by askjeeves.com.

Parabola-Natural figures. They may be different sizes or turned somewhat. Horse jump

The horses jump over an object is a natural parabola.

The parabola image was found by askjeeves.com.

Arc figures. They may be different sizes or turned somewhat.

An arc is a segment of a circle. In a textbook we could see an arc like this:

The arc image was found by askjeeves.com.

Arc-Man Made figures. They may be different sizes or turned somewhat. Tent

A man made arc is a the roof of the tent.

The arc image was found by askjeeves.com

Arc-Natural figures. They may be different sizes or turned somewhat. Rainbow

A natural occurrence of an arc is a rainbow.

The arc image was found by askjeeves.com.

Pyramid figures. They may be different sizes or turned somewhat.

A pyramid is a space figure with a square base and 4 triangle-shaped sides. In a textbook we could see a pyramid like this:

The pyramid image was found by askjeeves.com.

Pyramid-Man Made figures. They may be different sizes or turned somewhat. Pyramids in Egypt

This picture shows man made pyramids in Egypt.

The pyramid mage was found by askjeeves.com.

Pyramid-Natural figures. They may be different sizes or turned somewhat. Mountain top

A mountain top is a natural occurrence of a pyramid.

The pyramid image was found by askjeeves.com.

Parallel lines cut by a perpendicular transversal figures. They may be different sizes or turned somewhat.

Perpendicular means intersecting at or forming right angles. A transversal is a line that intersect two or more lines in a plane at different points. In a textbook we could see parallel lines cut by a perpendicular transversal like this:

This Image was found by askjeeves.com.

This image of a power line tower shows parallel lines being cut by a perpendicular transverse.

This image was found by askjeeves.com

Snake skin is a natural representation of parallel lines cut by a perpendicular transverse.

This image was found by askjeeves.com

Parallel lines cut by a non-perpendicular transversal-Textbook

A non-perpendicular intersects at an angle creating a obtuse or an acute angle. A transversal is a line that intersect two or more lines in a plane at different points. In a textbook we could see parallel lines cut by a non-perpendicular transversal like this:

This image was found by askjeeves.com.

Parallel lines cut by a non-perpendicular transversal-Man made Metal fence

This picture shows parallel lines cut by a non-perpendicular transverse

This image was found by askjeeves.com.

Parallel lines cut by a non-perpendicular transversal-Natural Leaf

This leaf shows parallel lines cut by a non-perpendicular transverse

This image was found by askjeeves.com.