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ANSWERS TO HOMEWORK
2) Sometimes
6) Sometimes
10) Sometimes
14) Always
18) 45
22) 4:5
26) x=30, y=24, z=203
4) Sometimes
8) Sometimes
12) Never
16) Trapezoid
20) 20
24) x=28, y=24, z=36
7-4 POSTULATE FOR
SIMILAR TRIANGLES
Answer to Warm Up
Yes - ABX  CDX
REMEMBER: IF 2 ANGLES OF A TRIANGLE
ARE CONGRUENT TO 2 ANGLES OF
ANOTHER TRIANGLE, THEN THE 3RD
ANGLES ARE CONGRUENT.
AA Similarity Postulate
If 2 angles of a triangle are congruent to 2 angles
of another triangle, then the 2 triangles are
similar.
TRY ON OWN

Name the similar triangles, if there are any.
A
A
1)
2)
C
B
D
C
3) A
E
E
B
D
B
C
D
1) ABC  ADE
2) ABC  ADC
3) ABC  AED
EXAMPLE: HINT – SEPARATE TRIANGLES
A
A
Scale Factor: 7/4
7 8

4 y
x
B
8
3
D
x+3
32
y
7
3
y
E
8
4
C
E
C
7
7 x3

4
3
B
y
D
3
4
C
9
x
4
TRY ON OWN: SOLVE FOR X AND Y
1)
T
3
5
A
E
x
8
y
J
2)
y
O
10
E
x  10
x  32
9
12
x
K
y6
15
S
C
4
H
12
y
5
HOMEWORK
Pg 257 #1-19
 Theorems that will help you

Opposite sides of parallelograms are congruent
 Alternate interior angles of parallel lines are
congruent
 Vertical angles are congruent
