Download Similar Polygons

Similar Polygons
Chapter 7 Section 4 & 5
Monday 4/14/2008
Warm Up
Monday 4/14/08
 Core Assessment
 You need a pencil and a calculator only on
your desk.
 You will have 35 minutes.
 All work and answers need to be written
legibly on notebook paper.
Homework Answers
p. 250
1. always
2. sometimes 3. sometimes
4. sometimes 5. always
6. sometimes
7. Sometimes 8. sometimes 9. always
10. Sometimes 11. never
12. never
13. Sometimes14. always
15. 4:5
16. Trapezoid; T’U’//E’N’
17. 135
18. 45
19. 12
20. 20
21. 4k
22. 4:5
23. Property 2, more than 2 ratios
24. x=28 , y= 24, z=36
25. x=8 , y= 18, z=12
26. x=30, y= 24, z=20√3
27. x=6¼ , y=6⅔, z=5
Working with Similar Triangles
Similarity Postulates
AA Similarity Postulate
1
2
If two angles of one triangle are congruent to two angles
of another triangle,
then the triangles are similar.
Similarity Postulates
A
SAS Similarity Postulate
AD = 6, AE = 8,
DC = 3, EB = 4,
D
E
C
If an angle of one triangle is congruent to an angle of another
triangle and the sides including those angles are proportional,
then the triangles are similar.
B
Similarity Postulates
A
SSS Similarity Postulate
AD = 6, AE = 8, DE = 7
DC = 3, EB = 4, CB = 10.5
D
C
If the sides of two triangles are in proportion,
then the triangles are similar.
E
B
Class Work p. 264 – 265
p. 256 #13
HW Due Tuesday
Written Exercises
p. 257-258 1-13, 16 and
p. 266 1-10