Math 2 Final: Similar Triangles

Front

Two objects that are the same shape but not the same size are _______.

Back

Similar

Front

Find the missing side in the similar triangles: If one side is 5 and the corresponding side is 7, what is the missing side if the other corresponding side is 9?

Back

7

Front

The two shapes are similar. Find x if the corresponding sides are in the ratio 2:7. What is x?

Back

7

Front

Back

h=50

Front

Are the triangles similar if their corresponding angles are not equal?

Back

No

Front

Definition: Similar Triangles

Back

Triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are in proportion.

Front

If triangle A has sides 3, 4, 5 and triangle B has sides 6, 8, 10, are they similar?

Back

Yes, because the sides are in proportion (1:2).

Front

What is the ratio of the sides of two similar triangles if one triangle has sides 4, 6, 8 and the other has sides 2, 3, 4?

Back

1:2

Front

If two triangles are similar and one has an area of 50 square units, what is the area of the other triangle if the ratio of their sides is 1:3?

Back

450 square units (Area ratio is the square of the side ratio).

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 5 and side DE is 10, what is the ratio of their corresponding sides?

Back

1:2