IM 8.2.9 Practice: Side Length Quotients in Similar Triangles

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 1/4. Draw what triangle XYZ might look like.

How do the angle measures of triangle  compare to triangle ? Explain how you know.

What are the side lengths of triangle ?

For triangle , calculate (long side)  (medium side), and compare to triangle .

The two triangles shown are similar.

Find the value of .

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.

Where is the center?

What is the scale factor?