Download Chapter 8.3 Proving triangles similar.notebook

Chapter 8.3 Proving triangles similar.notebook
D.I.R.T?
February 27, 2013
Are the following polygons similar?
2)
1) Solve for x. Given reasons. 2(x+3) ­7 = 13
8
Statement Reason
4
2
3
3) 50
6
50
80
5
12
80
10
4) Find the area of the parallelogram.
12
5) Find the area of the rhombus.
A= _____________
10
60
10
6
Feb 19­4:04 PM
Feb 25­9:28 AM
Feb 25­9:51 AM
Feb 25­9:55 AM
8.3 Proving Triangles Similar
Objective: To use AA, SAS, and SSS similarity statements
M.1
MX AB. Explain why the triangles are similar. Write a similarity statement. Performance Standard: 1.5, 1.6, 3.1, 3.2, 3.4 DOK­2
Knowledge: MA 2, MA 4
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.
Explain why the triangles must be similar. Write a similarity statement.
SSS Similarity Theorem: If a three sides are in proportion to each other, then the triangles are similar.
Apr 7­1:10 PM
Apr 2­2:23 PM
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Chapter 8.3 Proving triangles similar.notebook
February 27, 2013
Use the theorem and postulates to prove the whether the following triangles are similar
1)
G
M
3
6
H
10
O
I
4
R
2) A
2
3
P
3
B
J
3.33
5
8
C
Apr 7­1:14 PM
Feb 25­10:19 AM
Prove Triangles Similar 8.3 part 1
Assignment:
pg. 435 #2, 4-6, 10-12, 16-19
Name:____________________
4. Show work: 2. Show work: Answer: yes or no why______________
if yes: RST ________
5. Show work: Answer: yes or no why______________
if yes: FHG ________
6. Show work: Answer: ______________
Answer: ______________
10. Show work:
11. Show work:
Answer: x= ____________
Postulate: _____________
Answer: x= __________
Postulate: ___________
12. Show work: Answer: x= ____________
Postulate: _____________
16. Show work: Answer: x= ____________
Postulate: _____________
17. Show work: 18. Show work: Answer: x= ____________
Answer: x= ____________
Postulate: _____________
Postulate: _____________
19. Show work: Answer: x= ____________
Postulate: _____________
Feb 25­10:21 AM
Feb 5­1:51 PM
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