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104_G6U13_TG 2014.4.17 6:56 PM ˘ ` 195

13Use Proportions and Ratios to Find the Measurements of Similar Figures Unit

104-B4-1 104-B4-2

Similar Figures (1) 2. Find the corresponding sides and angles in the two similar triangles.
1. Draw a figure on the grid that is similar to the figure on the left.
Example
Example
A
60 D
60

B 4 cm CE 8 cm F

a. Matching sides of two or more polygons are called corresponding sides.
Matching angles of two or more polygons are called corresponding angles.
b.
BC and A and
c.
a. H AB and
Objective Learn to recognize and work with GH and
similar figures. D E 85
85 120 D and
Textbook Reference Activity 2 A 120 F and

85 75 85 75 AB and
B CF G DE and
b.
2 cm F 4 cm C and
A D 110 E and

6 cm C E

110 3 cm
B

Objective Learn to recognize and work with
similar figures.

Textbook Reference Activity 2

104-B5-1 104-B5-2

Similar Figures (2) 2. Find the height of each tower.
1. Each pair of figures are similar. Find the unknown measures. Example

Example

A 5 cm D

4 cm 130 b

50 130
B C

E a H
130 50
5 ft
8 cm 72 ft

12 ft

50 130
F G

a.

a. A

D 3 ft
5 ft
15 cm

c 45 ft

d 80 E 40 80 F b.
B C 12 cm
20 cm

b. A 24 cm D
80 60 E
H

120 f

15 cm e

80 G 0.6 m
16 cm
100 120 F
B C
48 m 3.2 m

Objective Determine unknown angles and Objective Determine the heights of objects
sides based on known similar by measuring shadow lengths.
figures.
Textbook Reference Challenge
Textbook Reference Activity 3
6A Unit 13 195