This document contains notes from a math class on similar figures and indirect measurement. It includes examples of identifying corresponding sides and angles in similar triangles, solving problems involving similar figures, and using proportions to solve indirect measurement problems such as finding the height of a flagpole based on the length of its shadow. Students are assigned to finish the class notes as homework.

1. Day 1 Similar Figures.notebook April 08, 2013
AIM: Indirect
Measurement
Do Now
If a dozen hens lay a dozen eggs in a
dozen days, how long will it take 1000 hens
to lay 1000 eggs at the same rate?
1

2. Day 1 Similar Figures.notebook April 08, 2013
Anticipatory Set
If 6 cats can catch and kill 6 rats in 6
minutes, how many cats will it take to
catch and kill 100 rats in 50 minutes?
Try solving this problem in more than one
way.
2

3. Day 1 Similar Figures.notebook April 08, 2013
Similar Figures:
Corresponding Sides: Sides that are in the same position
on two different figures.
Corresponding Angles: Angles that are in the same
position on two different figures.
3

4. Day 1 Similar Figures.notebook April 08, 2013
Identify the corresponding sides in the pair of triangles. Then
determine whether the triangles are similar.
D
A 12 in
6 in
2 in 6 in
B C
7 in
E 14 in F
4

5. Day 1 Similar Figures.notebook April 08, 2013
1.)
Find the length of DE
5

6. Day 1 Similar Figures.notebook April 08, 2013
2.)
6

7. Day 1 Similar Figures.notebook April 08, 2013
3.)
8 in
2 in
?
12 in
7

8. Day 1 Similar Figures.notebook April 08, 2013
4.)
D
A 35 cm
27 cm 45 cm
21 cm
B 36 cm C E F
x
8

9. Day 1 Similar Figures.notebook April 08, 2013
5.)
12 in 2.4 in
x
7 in 4.8 in
6 in
9

10. Day 1 Similar Figures.notebook April 08, 2013
6.)
1.5 in
x
4 in 4.5 in
10

11. Day 1 Similar Figures.notebook April 08, 2013
How can we find the height
of the flagpole in front of
the school without taking it
down? Determine a method
for finding the answer.
11

12. Day 1 Similar Figures.notebook April 08, 2013
D.) Using Indirect Measurement
City officials want to know the height of a traffic light. The
traffic light casts a shadow that is 45 ft long. A stop sign casts
a shadow that is 30 ft long. If the stop sign is 15 ft high, what is
the height of the traffic light?
12

13. Day 1 Similar Figures.notebook April 08, 2013
1
A.) Write and solve a proportion to find the height of the shorter person.
13

14. Day 1 Similar Figures.notebook April 08, 2013
2
B.) Write and solve a proportion for this problem.
14

15. Day 1 Similar Figures.notebook April 08, 2013
3
C.) Write and solve a proportion to find the height of the flagpole.
15

16. Day 1 Similar Figures.notebook April 08, 2013
4
D.) Write and solve a proportion for this problem.
40 m
16

17. Day 1 Similar Figures.notebook April 08, 2013
5
E.) Write and solve a proportion to find the length of the shadow of the streetlight.
17

18. Day 1 Similar Figures.notebook April 08, 2013
Mr. Tjersland's Math 7
Homework: Finish Class Notes
18