Transcript Document

Z
Warm Up
W
7.5
12
U
5
V X
Y
6
XYZ
1. UVW ~  ____
2. What is the scale factor of UVW to XYZ 5/6
3. What is VW ? 10
4. What is XZ ? 9
5. If mU  50 and mY  30, what is mZ ?
100
Questions over hw?
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X=4
X=6
X=9
X=3
X=3
X = 12
X=4
X = 20
Back
Side
X = 21
X = 25
X = 42
X = 10
X=9
X = 32
X = 15
X = 30
X=4
X = 36
X = 30
X = 20
Front
Side
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3 Ways to Prove
Triangles Similar
Angle-Angle (AA~) Similarity Postulate
Being able to show that two angles in one
triangle are congruent to two angles of the
other triangle
D
A
B
E
F
C
Side-Side-Side (SSS~) Similarity THM
Being able to show that the measures of all the
corresponding sides of the triangles are
proportional
D
A
E
F
AB BC CA


DE EF
FD
B
C
Side-Angle-Side (SAS~) Similarity THM
Being able to show that the measure of
two pair of corresponding sides are
proportional AND the included angles are
congruent
D
A
F
E
AB BC

DE EF
B
C
Ex. Determine whether the triangles are similar. If
so, tell which similarity test is used and complete
the statement.
68°
68°
43°
43°
V
Y
7
W
11
3
U
X
5
Z
Prove that RST ~ PSQ
1. Two sides are proportional
SAS~2. Included angle is congruent
S
4
P
12
5
16 20

4
5
4 4

1 1
Q
15
S  S
R
T
reflexive