Download Write a similarity statement and find the scale factor of the similar

Geometry Worksheet
7.3 – AA~ Postulate
Name __________________________________________________
1. In similar shapes, the corresponding angles are ______________ and the corresponding sides are _______________
2. The AA~ Postulate says that if two pairs of corresponding angles are congruent, then the triangles are _____________.
Are these triangles similar by the AA~ postulate? Answer yes or no. If the triangles are similar, write a similarity
statement.
3. overlapping so RE-DRAW
4.
5.
Similar by AA~? _________
Similar by AA~? _________
Similar by AA~? _________
EDC ~  _______
 MHG ~  _______
 ABC ~  _______
6.
7.
Similar by AA~? _________
Similar by AA~? _________
Similar by AA~? _________
 PRQ ~  _______
 GCD ~  _______
 RPN ~  _______
8.
Flip or Twist???
Write a similarity statement and find the scale factor of the similar shapes. Write the scale factor in the "same
order" as the similarity statement. REDUCE FRACTIONS! All of these are similar by AA~.
9.
 RED ~  _______
Scale Factor: _________
10. Look at the OVERLAPPING triangles. RE-DRAW them separated and then answer each question.
 ADE ~  _______
 ABD ~  _______
Scale Factor: ________
Scale Factor: ________
11. Look at the BOW-TIE triangles. First CIRCLE whether they are FLIPS or TWISTS and then answer each question.
 SUN ~  _______
 DCE ~  _______
WXV ~  _______
Scale Factor: ________
Scale Factor: ________
Scale Factor: ________
Use the diagram on the right to complete each statement.
12.  DEF ~  _______
13. The __________ postulate proves these triangles are similar.
14. Find x.
15. Find y.
16. The scale factor of  DEF to  PQR is __________ 17. The scale factor of  PQR to  DEF is __________
Find the angle information and set up proportions to find all missing sides.
18.
19.
mP  _______
FIND x:
mA  _______
FIND y:
FIND x:
FIND y:
20.
21.
"Flipped" or "Twisted" Bow Tie?
"Flipped" or "Twisted" Bow Tie?
mC  _______ mTBM  _______ mT  _______
mA  _______ mTBM  _______ mT  _______
FIND x:
FIND x:
FIND y:
FIND y:
22. Ellen uses the shadow of the flagpole to estimate its height. She stands so that the tip of her shadow coincides with
the tip of the flagpole shadow.
a. Explain why the two triangles are similar.
b. Write a proportion and solve for x, the height of the flagpole.