# Geometry - PowerPoint PPT Presentation

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Geometry. Horace, Stephen, Jon. Grade. You are in high school anywhere from 9 th to 12 th grade depending on when you take geometry.

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Geometry

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## Geometry

Horace, Stephen, Jon

• You are in high school anywhere from 9th to 12th grade depending on when you take geometry.

• Net Standard: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.

### Class today

• Introduction to Geometry

• 4 stations

• Jeopardy

### Expectations

• Making formal geometric constructions using various tools

• Copying Segments, bisecting segments

• Copying Angles, bisecting angles

• Perpendicular lines

• Parallel lines

• Reflections

### Tools

• Geometric Games/ Software

• 2d nets of 3d shapes

• Compass and Straightedge (Smartboard)

### Station 1

• Geometric Software/ Games

http://nlvm.usu.edu/en/nav/frames_asid_298_g_4_t_3.html?open=activities&from=category_g_4_t_3.html

http://www.aplusmath.com/cgi-bin/games/geomatho

### Station 2

• Copy Segments

• Bisecting Segments

### Station 3

• 2d nets to make 3d shapes

You will use 2d nets such as the one below to create 3d objects.

### Station 4

• Copying Angles

• Bisecting Angles

### Terminology

• Parallel- Being an equal distance apart everywhere. Never Intersect.

• Perpendicular- At an angle of 90 degrees to a given line, plane or surface

• Bisect- To divide into 2 equal parts

• Reflection- A transformation in which the figure is a mirror image of its original form.

• Vertex- The point at which two lines meet to create an angle

### Bisecting a segment

• Using a compass draw arch at approximately two thirds the lines length

• Without changing the angle of the compass draw an arch on the other side of the line

• Use a straightedge to connect the two intersections.

### Copying a segment

• Begin by drawing a line or ray that it larger then the segment you are trying to copy.

• Place your compass on the ray and draw an arch. This is now your copied version of your segment.

### Copying an Angle

• Begin by drawing a ray that is larger then the length of your original angle line.

• Draw an arch between the angle you a trying to copy. (Length does not matter)

• Copy that arch onto your ray using the same angle on your compass.

• Measure the distance between the two intersections of the arch.

• Copy this measurement onto the ray

• Using a straightedge draw a line through the endpoint of the ray and the intersection of the two arches.

### Bisecting an Angle

• Place the compass point on the angles vertex

• At any convenient length of the compass, draw a arch that crosses both lines

• Using each of the archs intersection with the lines, draw two arches through the middle of the angle

• Using a straightedge draw a line from the vertex to the intersection of the two arches In the middle of your angle.

### Groups

• We will now count of into groups of 4

• Group 1 please go to the front left of the room

• Group 2 please go to the back left of the room

• Group 3 please go to the front right of the room

• Group 4 please go to the back right of the room

• When Stations are complete please stay where your at in order to play Jeopardy.