6-3 similar figures and scale drawing

12
Warm-up Monday, October 26, 2009 Solve each proportion. Round to the nearest tenth where necessary. a.) b.) c.) d.) g p p f 20 3 16 15 4 9 50 8 3 21 3 2

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Page 1: 6-3 Similar Figures and Scale Drawing

Warm-upMonday, October 26, 2009

Solve each proportion. Round to the nearest tenth where necessary.

a.) b.)

c.) d.) gp

p

f

20

3

16

15

4

9

50

8

3

213

2

Page 2: 6-3 Similar Figures and Scale Drawing

6-3 Similar Figures and Scale Drawings

Objectives: You will be able to solve problems that involve similar figures

You will be able to solve problems that involve scale drawings

Page 3: 6-3 Similar Figures and Scale Drawing

equalproportion

Page 4: 6-3 Similar Figures and Scale Drawing

the same shape, but not necessarily the same size; corresponding angles & sides

using similar figures to compare distances that are difficult to measure directly

an enlarged or reduced drawing that is similar to an actual object or place

similar to; the same shape, but not the same size (necessarily).

Page 5: 6-3 Similar Figures and Scale Drawing
Page 6: 6-3 Similar Figures and Scale Drawing
Page 7: 6-3 Similar Figures and Scale Drawing

Today’s bonus

• Using indirect measurements with shadows, similar figures, and some knowledge of angles, Erotosthenes (276 – 195 BC) calculated the circumference of the Earth with surprising accuracy.

Page 8: 6-3 Similar Figures and Scale Drawing
Page 9: 6-3 Similar Figures and Scale Drawing

When are we ever going to use this?

• Here are some ideas:– Architecture– Making or using maps– Movie making– Surveying– Manufacturing

Page 10: 6-3 Similar Figures and Scale Drawing

Finish the Quick Check before the end of class!

Page 11: 6-3 Similar Figures and Scale Drawing

Homework

• Please complete pg. 301 (305) #1-19 ODD

• REMEMBER…– Odd problems have answers in the back of the

book, so you must show your work to receive full credit on your homework!!!

Page 12: 6-3 Similar Figures and Scale Drawing

Ticket to Leave

A tree casts a shadow 8 feet long. A 6-ft man casts a shadow 4 ft long. The triangle formed by the tree and its shadow is similar to the triangle formed by the man and his shadow. How tall is the tree?

8

x

4

6