Similar And Congruent Shapes Review Problems

Similar and Congruent Shapes: These triangles are similar because their corresponding sides are in proportion to each other. 1 2

2

4 _1 _ = 2_ 2 4 1*4=4 2*2=4 Write a proportion and find the cross products to find out if each pair of triangles is similar.

2

4

3

4

4

1

8

3

_2 _ = ____ 4 Is this pair of triangles similar?

Is this pair of triangles similar?

Yes

Yes

No

What about this pair of trapezoids? 10

No

Are these parrellograms congruent? 7 3 3

7

8 5

4

Is this pair of triangles similar? Yes

No

Is this pair of parellograms congruent? Yes

No

Practice Problems: Determine if these shapes are congruent: 1.

2.

Determine if these shapes are similar. You can check by cross multiplying the ratios of corresponding sides: 1.

2.

3.

4.

5.