Lesson 9: Practice Problems
Problem 1
These two triangles are similar.
![A triangle with side length 10, 15, and b. A second triangle with side length a, 4, and 9.](../../../../../../embeds/464715a9--8.2.B9.newPP.Image.02.png)
What are
Problem 2
Here is triangle
![A triangle ABC with side length 4, 5, 7.](../../../../../../embeds/11e4880a--8.2.B4.Image.02.png)
Draw what triangle
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 .
Problem 3
The two triangles shown are similar. Find the value of
![A triangle with legs 7.5 and 9 and a similar triangle with legs d (corresponding to 7.5) and c (corresponding to 9)](../../../../../../embeds/e43b345a--8.2.B9.newPP.Image.01.png)
Problem 4 From Unit 2 Lesson 5
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.
![Two nested triangles with a vertex at (-1,1). Small triangle coordinates: (-2,1), (-2,2). Larger triangle: (-6,1), (-6, 6)](../../../../../../embeds/5650f8f9--8.2.A.PP.Image.12.png)