11.1 Similar Figures
11.2 Proving Similar Right Triangles
11.3 Similarity Within Right Triangles
11.4 Proportional Partitions
11.5 Lengths, Perimeters, Areas, and Volumes
100

Solve the proportion: 

4/(x-2)=(x+2)/35

x=+-12

100

If the triangles can be proved similar, name the postulate or theorem that justifies it. If not, explain why not.

Cannot be proved similar; no known congruent angles

100
Find the geometric mean of 5 and 25

5sqrt5

100

Determine if FG and DE are parallel. Explain why or why not.

No; 

9/12 !=12/18

100

Find AB if 

triangleABC~triangleGEF

x=8

200

Are the triangles similar? Why or why not?

No, the corresponding side lengths are not proportional.

200

If the triangles can be proved similar, write a triangle similarity statement and name the postulate or theorem that justifies it. If not, explain why not.

triangleGJK~triangleHJL; SAS~

200

Find the value of the variable.

8sqrt3

200

Find the value of x.

x=8

200

Find RT if 

triangleMOP~triangleRAG

12.5

300

Find the length of MO for the similar triangles. 

MO=6

300

State whether the given lengths could be side lengths of similar triangles. If so, state a similarity ratio. If not, explain why not. 


15, 24, 21 " and " 8, 5, 7

Yes, 

k=3 " or " 1/3

300

Find the value of h and t

h=sqrt42

t=sqrt91

300

Find the value of x if 

AB=36

x=20

300

Find DE if 

triangleABC~triangleDEF, AB=12, " the perimeter of " triangleABD=144

 " and the perimeter of " triangleDEF=16

4/3

400

Write a similarity statement for the pair of similar polygons; then write an extended proportion relating the lengths of their sides.

JKLM~QRSP; (JK)/(QR)=(KL)/(RS)=(LM)/(SP)=(MJ)/(PQ)

400

Name the postulate or theorem that shows the triangles are similar. Then find the value of the variable.

"AA"~; b=2.4 "yd"

400

Find the value of y

y=6

400

Find the value of x. 

x=40

400

Find the ratio of the areas

9/16

500

If the polygons are similar, write a similarity statement and state the similarity ratio. If they are not similar, explain why.

Not similar; the corresponding side lengths are not proportional

500

Find the height of a building if a vertical yardstick casts a 5 ft. shadow when the building casts a 170 ft shadow.

102 ft.

500

Carly steps back 8 ft from her house until she sees the top and bottom of the side of the house along the edges of a square piece of cardboard held in front of her. Estimate the height of Carly's house if her eye level is 4 ft above the ground.

20 ft.

500

Find the value of x. 

x=2

500

Find the ratio of the volumes of spheres with radii of 

5pi " and " 8pi

125/512