to start: 18 points
Post on 02-Jan-2016
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Determine if the polygons are similar. If so, write the similarity statement and scale factor.
Identify the congruent angles.
Compare the ratios
To Start: 18 Points
J
M
L
K
W
T U
V
8
2
8
46
2424
12
WMVLUKTJ ,,,
1
3
2
6
TW
JM
1
3
8
241
3
8
24
UV
KL
1
3
4
12
VW
LMTU
JK
1!:3 isfactor scale theandTUVW ~JKLM
thereforeequal, are ratios theAll
Using AA∼ Postulate Are the two triangles similar?
Why?
∠R≅∠V Both are 45o
∠RSW≅∠VSB Vertical ∠’s
So, ∆RSW∼ ∆VSB AA∼ Postulate
Using AA∼ Postulate Are the two triangles similar?
Why?
∠L≅∠R Both are 70o
∠K=180-70-30=80 ∠P=180-85-70=25
So, ∆RSW and ∆VSB are not Similar
Verifying Triangle Similarity
Are the triangles similar? If so, write the similarity statement.
∠K≅∠K Reflexive
So, ∆KLP∼∆KMN by SAS∼
5
4
10
8
KM
KL
5
4
15
12
KN
KP
Verifying Triangle Similarity
Are the triangles similar? If so, write the similarity statement.
All three ratios are equal, so, ∆STU ∼∆VSB by the SSS∼ Theorem.
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