Post on 30-Dec-2015
description
We could prove that two triangles are similar by verifying that the triangles satisfy the two pieces of the definition of similar polygons
1._____________________________
_____________________________
2. _____________________________
_____________________________
Postulate 15 – __________________
_____________________________________________________________________________________________
Ex. If A D and B E, then ABC ~ ____
A C
B
D F
E
Check for Understanding – p. 256 #1-11
9. One right triangle has an angle with measure 37. Another right triangle has an angle with measure 53. Are the two triangles similar? Explain.
Theorem 7-1 ____________________
________________________________________________________________________________________________
A
B
C
D F
EIf: A D
Then: ABC ~ ___
DFAC
DEAB
Theorem 7-2 ____________________
________________________________________________________________
B
C
D
E
A
F
If:
Then: ABC ~
DFAC
EFBC
DEAB
Check for Understanding p. 264-5 #1-6
Can the two triangles shown be proved similar? If so, state the similarity and tell which postulate or theorem is used.1. 2.
10
15
20
32
2416
R
SX
F
H G
HFG ~ ___
E
C
D
N
UJ
70 4060
70
____ Similarity Thm.
Check for Understanding p. 264-5 #1-6
Can the two triangles shown be proved similar? If so, state the similarity and tell which postulate or theorem is used.3. 4.
R
Q
S
U
T12
89
6
V
W
X
Z
Y
812
9 6
Check for Understanding p. 264-5 #1-6
Can the two triangles shown be proved similar? If so, state the similarity and tell which postulate or theorem is used.5. L
25 APN 9
15
PN
L
NL
A
15
15
25
9
6.
B
A
C
D 24
20
16
36
30
Check for Understanding p. 264-5 #1-6
Can the two triangles shown be proved similar? If so, state the similarity and tell which postulate or theorem is used.
Problem Solving
Linda wants to determine the height of this tree. She measured the shadow of the tree as 8m and her own shadow was 3m. She knows that she is 1.5m tall. How tall is the tree?
8m
3m
1.5m
x