1. 5.9 Similar Figures

2. same size and same shape.
Congruent Figures
same size and same shape.

3. Symbol

4. Similar Figures
same shape but their sizes may be different ~

5. similar polygons
Corresponding angels are congruent (Have the same measure)
Corresponding sides are proportional

6. Examples of Similar Figures

7. Angles and Sides in Similar Polygons
∠A ≅ ∠ E
∠B ≅ ∠ F
∠C ≅ ∠ G
Sides
AB ~ EF
AC ~ EG
BC ~ FG A
ΔABC ~ ΔEFG E B C F G

8. You can find the missing length of a side in a pair of similar figures, by using proportions
ΔRST ~ ΔUVW R
x ft. U
6 ft. S T W V
35 ft.
7 ft.
x = 30 feet = x 35

9. Solve for x. Round to the nearest tenth.
17 in. x
35 in.
15 in. x
x = 7.3 inches = 35 17

10. The triangles are similar find the missing length
X in
10in
10in
4in

11. A rectangular blue tile has a length of 4. 25 inches and a width of 6
A rectangular blue tile has a length of 4.25 inches and a width of 6.75 inches. A similar red tile has a length of inches. What is the width of the red tile?
4.25 inches
6.75 inches
12.75 inches
X inches

12. Homework
Page 234 (2-12) even