Solve the proportion:
4/(x-2)=(x+2)/35
x=+-12
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
5sqrt5
Determine if FG and DE are parallel. Explain why or why not.
No;
9/12 !=12/18
Find AB if
triangleABC~triangleGEF

x=8
Are the triangles similar? Why or why not?
No, the corresponding side lengths are not proportional.
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~
Find the value of the variable.
8sqrt3
Find the value of x.
x=8
Find RT if
triangleMOP~triangleRAG

12.5
Find the length of MO for the similar triangles. 
MO=6
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
Find the value of h and t
h=sqrt42
t=sqrt91
Find the value of x if
AB=36

x=20
Find DE if
triangleABC~triangleDEF, AB=12, " the perimeter of " triangleABD=144
" and the perimeter of " triangleDEF=16
4/3
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)
Name the postulate or theorem that shows the triangles are similar. Then find the value of the variable.
"AA"~; b=2.4 "yd"
Find the value of y
y=6
Find the value of x.

x=40
Find the ratio of the areas
9/16
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
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.
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.
Find the value of x. 
x=2
Find the ratio of the volumes of spheres with radii of
5pi " and " 8pi
125/512