Download 8.3 Prove Triangles Similar

8.3 Prove Triangles Similar
February 23, 2015
D.I.R.T?
1) Solve for x. Given reasons. 2(x+3) ­7 = 13
Reason
Statement
Are the following polygons similar?
3) 2)
50
6
50
80
8
5
12
4
80
10
2
3
4) Find the area of the parallelogram.
5) Find the area of the rhombus.
12
10
60
10
6
A= _____________
8.3 Prove Triangles Similar
8.3 Proving Triangles Similar
Objective: To use AA, SAS, and SSS similarity statements
AA Similarity Postulate:
If 2 angles of one triangle are congruent to 2 angles of another triangle, then they are similar
SAS Similarity Postulate:
The sides must be in equal proportion and the angle in between
has to be congruent.
SSS Similarity Theorem: If three sides are in proportion to each other, then the triangles are similar.
February 23, 2015
8.3 Prove Triangles Similar
MX AB. Explain why the triangles are similar. Write a similarity statement. Explain why the triangles must be similar. Write a similarity statement.
February 23, 2015
8.3 Prove Triangles Similar
February 23, 2015
Use the theorem and postulates to prove whether the following triangles are similar
1)
G
M
3
6
H
10
O
I
4
R
2) A
2
3
P
3
3.33
5
B
J
8
C