1. Similar Figures

2. Similar Figures
Similar Figures – have the same shape but not the same size.
The corresponding sides are all proportional with the same ratio.
The corresponding angles are all congruent
Symbol for similar is ~
Similar figures are like photographs of different sizes such as 5 x 7, 8 x 10, 2 x 2.5

3. Similar Figures S G H I T R

4. Similar Figures K C B A J L

5. Not Similar Figures

6. Not Similar Figures

7. Triangle ABC ~ triangle DEF

8. Corresponding Angles < A ~ <D < B ~ <E < C ~ < F
Corresponding angles are have equal measurement
Triangle ABC ~ triangle DEF

9. Triangle ABC ~ triangle DEF
16 m
20 m
12 m A C B
5 m
4 m
3 m
Triangle ABC ~ triangle DEF

10. Corresponding Sides AB = _5___ = 1 DE 20 4 AB ~DE BC = _3__ = 1FE
AC = _4__ = 1 DF
AB ~DE
BC ~ FE
AC ~ DF
Corresponding sides have proportional measurement
Triangle ABC ~ triangle DEF

11. Similar Figures T R S G H I triangle HIG ~ triangle RTS <T =
SR ~
<I
< H
< G GI HI GH G H I
triangle HIG ~ triangle RTS

12. Similar Figures
Triangle JKL ~ triangle CAB K L J C B A

13. Using proportions to find missing side lengths24 16 x 27 y 12
24x = 432
X = 18

14. Using proportions to find missing side lengths24 16 x 27 y 12
24y = 192
y = 8

15. X 20 y 25 30 36
25x = 600
x = 24
30y = 900
y = 30

16. 20 x 10 4 6 y
4y = 60
y = 15
10x = 80
x = 8