Open Up - Grade 8 - Mathematics - Unit 2 - Lesson 9

These two triangles are similar.

What are a and b? Note: the two figures are not drawn to scale.

Here is triangle ABC. Triangle XYZ is similar to ABC with scale factor \frac{1}{4}.

1. Draw what triangle XYZ might look like.(Show your work)

2. How do the angle measures of triangle XYZ compare to triangle ABC? Explain how you know.(short answer)

3. What are the side lengths of triangle XYZ?(Show your work)

Here is triangle ABC. Triangle XYZ is similar to ABC with scale factor \frac{1}{4}.

For triangle XYZ,(From question 2) calculate (long side) \div (medium side), and compare to triangle ABC.(Keep your answer as a fraction if you get a fractional answer)

The two triangles shown are similar. Find the value of \frac{d}{c}. (if your answer is fractional keep it as a fraction)

The diagram shows two nested triangles that share a vertex.

Find a center and a scale factor for a dilation that would move the larger triangle to the smaller triangle.