100 100 100 100100

Righttriangle

similarity

Proportionsin

triangles

Ratios andsimilarfigures

Proving triangles similar

Similar figures

Proportions

100

200

300

400

500

200

300

400

500

200

300

400

500

200

300

400

500

200

300

400

500

200

300

400

500

Solve the proportion.

x

6

6

5

2.7 ,5

17 ,

5

36x

Solve the proportion.

32.7

53

x

9x

Solve the proportion.

5

2

6

7

xx

47x

Solve the proportion.

5

1253

y

y

3.8 ,3

18 ,

3

25x

Solve the proportion.

1

109

x

x

x

x

5.4x

The figures are similar. Find the value of the variable.

16x

The figures are similar. Give the similarity ratio.

5

7or

7

5x

The figures are similar. Write a similarity statement.

FEDABC ~

The figures are similar. Find the value of the variables.

10

8

6

z

y

x

A map has dimensions 9 in. by 15 in. You want to reduce the map so that it will fit on a 4 in. by 6 in.

index card. What are the dimensions of the largest

possible complete map you can fit on the index card?

in. 6by in. 6.3

Are the two triangles similar? If yes, justify your answer.

Yes. AA Sim.

Are the two triangles similar? If yes, justify your answer.

Yes. SAS Sim.

Are the two triangles similar? If yes, justify your answer.

Yes. SSS Sim.

Are the two triangles similar? If yes, justify your answer.

No. Not enough information

Are the two triangles similar? If yes, justify your answer.

No!

3222

4530

6040

Find the geometric mean between 5 and

125.

25

Find the value of the variable.

9

Complete the proportion.

cb

s

b

Find the value of the variables.

10.6or 74or 112

9.7or 73or 63

12

z

y

x

Complete the similarity statement.

KNL; JNK

Complete the proportion.

cb

a

fe

d

Find the value of the variable.

35

Find the value of the variable.

8

Find the value of the variable.

9.6

Complete the proportion.

QT

PT

KQ

KP

For the similar figures, determine the ratios of their perimeters and

their areas.

25

9

5

3perimeter area

Find the similarity ratio for two figures with areas 10 yd2 and 360 yds2.

6

1

For the similar figures, find the area of the larger figure to the

nearest whole number.

386 cm2

For the similar figures, if the perimeter of the smaller figure is 12.8

cm, find the perimeter of the larger figure.

32

For the two similar right triangles, find the lengths of the sides of the smaller triangle if the area of the

smaller triangle is 27 in2.

y

x

24

16

9

6

y

x