Similar Shapes Worksheets

Name_______________________________ Do Now 27.1-6: Similar triangles Circle the pair of triangles that is similar.

Name_______________________________ Do Now 27.1-6: Similar triangles Circle the pair of triangles that is similar.

Name_______________________________ Date______________ Class Work 27.1a-6: Similar triangles Corresponding sides are in the same place on similar triangles. On the triangles below, label all of the corresponding sides with the same letter.

C

A

A B

B

C

Name_______________________________ Date______________ Class Work 27.1a-6: Similar triangles Corresponding sides are in the same place on similar triangles. On the triangles below, label all of the corresponding sides with the same letter.

C

A

A B

B

C

Name_______________________________ Date______________ Class Work 27.1b-6: Similar triangles 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?

Is this pair of parellograms congruent?

Yes

Yes

No

No

What about this pair of trapezoids? 10 8 6

4

10

8

Name_______________________________ Date______________ Class Work 27.1c-6: Similar triangles These triangles are similar because their corresponding sides are in proportion to each other. 1 2

y 4

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

4 8

y

y

6 16

2 3

_4 _ = ____ 8

y=

y=

Name_______________________________ Exit Slip 27.1-6: Similar triangles A tree’s shadow is 10 feet long. A 5-foot pole next to it casts a shadow that is 4 feet long. If the triangles formed by each object are and its shadow are similar, how tall is the tree?

??

5 ft.

10 feet

4 feet

Name_______________________________ Exit Slip 27.1-6: Similar triangles A tree’s shadow is 10 feet long. A 5-foot pole next to it casts a shadow that is 4 feet long. If the triangles formed by each object are and its shadow are similar, how tall is the tree?

??

5 ft.

10 feet

4 feet

Name_______________________________ Date______________ Class Work / Homework 27.1-6: Similar triangles 1

4

4

2

2

4 1

3

_1 _ = ____ 2

Is this pair of triangles similar?

Is this pair of triangles similar?

Yes

Yes

No

No

3 y

4

y

6

8 2

_3 _ = ____ 4

y=

y=

The two triangles below are similar. What is the length of the missing side?

15in. 5in.. 3in.

???

4in. 9in.

2