1. Lesson 6-2
Similar polygons

2. (similarity statement)
Lesson 6-2
Definition D E F 15 10 20
(similar to) A B C 8 12 16
(similarity statement)
Two polygons are similar if and only if
Corresponding Angles are congruent
Corresponding sides are proportional
The ratio of
Corresponding sides
is called
Scale Factor

3. 1) Are the polygons similar?
Lesson 6-2
Examples
1) Are the polygons similar?
2) If they are, write a similarity statement
3) and give the scale factor.
1) Check for corresponding angles and sides
ANGLES
SIDES
Yes they are ~
2) Similarity statement
3) Scale Factor

4. In the diagram, ∆DEF ~ ∆MNP. Find the value of x.
Lesson 6-2
Examples
In the diagram, ∆DEF ~ ∆MNP. Find the value of x.
Step1: Set up proportions of the sides.
Step2: Cross multiply and solve.

5. Lesson 6-2
Examples
Determine whether the pair of figures is similar.
A. Yes, ΔAXE ~ ΔWRT.
B. Yes, ΔAXE ~ ΔRWT.
C. No, the Δ's are not ~.
D. not enough information

6. Lesson 6-2
Examples
Determine whether the pair of figures is similar.
A. Yes, ΔTRS ~ ΔNGA.
B. Yes, ΔTRS ~ ΔGNA.
C. No, the Δ's are not ~.
D. not enough information

7. Lesson 6-2
Examples
The two polygons are similar. Write a similarity statement.
A. TRAP ~ OZDL
B. TRAP ~ OLDZ
C. TRAP ~ ZDLO
D. TRAP ~ ZOLD

8. Lesson 6-2
Examples
The two polygons are similar. Solve for a.
A. a = 1.4
B. a = 3.75
C. a = 2.4
D. a = 2

9. Lesson 6-2
Examples
The two polygons are similar. Solve for b.
A. b = 7.2
B. b = 1.2 C.
D. b = 7.2

10. Practice and Apply. Page 293
Lesson 6-2
Practice and Apply. Page 293
Determine whether each pair of figures is similar. Justify your answer

11. Practice and Apply. Page 293
Lesson 6-2
Practice and Apply. Page 293
Determine whether each pair of figures is similar. Justify your answer

12. Lesson 6-2
Practice and Apply. Page 293

13. Lesson 6-2
Practice and Apply. Page 293

14. Lesson 6-2
Practice and Apply. Page 293

15. Lesson 6-2
Practice and Apply. Page 293

16. Lesson 6-2
Practice and Apply. Page 293

17. Extra Practice

18. Extra Practice

19. Extra Practice

20. Extra Practice
Solve and graph 1)

21. Extra Practice 2)

22. Extra Practice 3)