Geoboard Activity: What is Similarity? 1. Warm Up: Look at the two shapes below (left vs. right). Are they geometrically similar? Explain! a.

b.

c.

d.

e.

2. In your geoboard, build two non-overlapping congruent parallelograms. Draw your results on graph paper.

3. In your geoboard, build another parallelogram that is similar to the ones from before. Draw your result on graph paper, and in the space below explain how you know they are similar.

4. What is the scale factor between the two similar quadrilaterals? How many times bigger is the new perimeter than the old perimeter?

5. Use a protractor to measure/estimate all angles inside your parallelograms. Sketch the parallelograms and record the angle measures below. How do the angles compare across similar polygons?

6. In the picture below, the two pentagons are similar. Write a similarity statement that accurately compares them.

7. On your graph paper, neatly draw and label all side lengths/angles of two triangles that satisfy the condition: Triangle RXY ~ Triangle RQW with a scale factor of 1:3. Notice that they share a vertex R.

8. BIG IDEA: In order for two shapes to be “similar”, what requirement(s) must be satisfied?

Lesson 1. what is similarity.pdf

triangles that satisfy the condition: Triangle RXY ~ Triangle RQW with a scale. factor of 1:3. Notice that they share a vertex R. 8. BIG IDEA: In order for two shapes to be “similar”, what requirement(s) must be. satisfied? Page 3 of 32. Lesson 1. what is similarity.pdf. Lesson 1. what is similarity.pdf. Open. Extract. Open with.

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