Geometry
Explore the fundamental concepts of geometry in this comprehensive guide. Understand the basics of geometric figures including points, lines, and angles. Learn about different types of angles such as acute, right, and obtuse, along with polygons like triangles and quadrilaterals. Discover properties of shapes such as circles, cubes, and prisms. Delve into transformations like rotation, reflection, and translation. This resource is designed for students and enthusiasts looking to strengthen their understanding of geometric principles in a clear and engaging manner.
Geometry
E N D
Presentation Transcript
Geometry Points, Lines, and Shapes!
Plane • plane A flat surface that stretches into infinity.
Point • point A location in a plane or in space, having no dimensions.
Line Segment • line segment Two points on a line, and all the points between those two points.
Line • line A straight set of points that extends into infinity in both directions.
Ray • ray part of a line, with one endpoint, and extending to infinity in one direction.
Intersecting Lines • intersecting lines Lines that have one and only one point in common.
Parallel Lines • parallel linesTwo lines are parallel if they are in the same plane and never intersect.
Perpendicular Lines • perpendicular linesTwo lines are perpendicular if the angle between them is 90 degrees.
Angle • angleThe union of two rays with a common endpoint, called the vertex.
Acute Angle • acute angleA positive angle measuring less than 90 degrees.
Right Angle • right angleAn angle whose measure is 90 degrees.
Obtuse Angle • obtuse angleAn angle whose measure is greater than 90 degrees.
Straight Angle • straight angle An angle that measures 180 degrees.
Polygon • polygon A closed plane figure made up of several line segments that are joined together.
Triangle • triangle A three-sided polygon. • Triangles can be classified according to the measures of their angles and their sides.
Acute Triangle • acute triangleA triangle each of whose angles measures less than 90 degrees.
Right Triangle • right triangle A triangle that contains a right angle.
Obtuse Triangle • obtuse triangle A triangle with an obtuse angle.
Scalene Triangle • scalene triangleA triangle with no congruent (exactly the same size and shape) sides.
Isosceles Triangle • isosceles triangleA triangle with two congruent (exactly the same size and shape) sides.
Equilateral Triangle • equilateral triangleA triangle with all sides that are congruent (exactly the same size and shape).
Circle • circle The set of points in a plane that are a fixed distance from a given point, called the center.
Circle • circle The set of points in a plane that are a fixed distance from a given point, called the center.
Quadrilateral • quadrilateral Any four-sided figure is called a quadrilateral.
Parallelogram • parallelogram A quadrilateral with opposite sides parallel.
Rectangle • rectangle A parallelogram with four 90-degree (right) angles.
Square • square A parallelogram with four congruent (equal) sides and four 90 degree (right) angles.
Rhombus • rhombus A parallelogram with four congruent (equal) sides. • Opposite angles are congruent.
Trapezoid • trapezoid A quadrilateral that has exactly one pair of parallel sides. • The parallel sides are called bases. • The non-parallel sides are called legs. • If the legs have the same length, then the trapezoid is an isosceles trapezoid. Isosceles Trapezoid Isosceles Trapezoid
Kite • kite A quadrilateral that is shaped like a diamond. Sometimes people like to fly them! • It has two distinct pairs of adjacent (side-by-side) congruent sides.
Cylinder • cylindera solid figure that has two parallel bases that are congruent circles
Cone • conea solid figure that has a flat, circular base and one vertex
Cube • cubea solid figure with six congruent square faces
Square Pyramid • Square Pyramida solid figure with a square base and with four triangular faces that have a common point
Rectangular Prism • Rectangular Prisma solid figure in which all six faces are rectangles.
Rotation (turn) • Rotation (turn)a movement of a figure to a new position by turning it around a vertex
Reflection (flip) • Reflection (flip)a movement of a figure to a new position by flipping it over a line
Translation (slide) • Translation (slide)a movement of a figure to a new position along a straight line