Download presentation

Presentation is loading. Please wait.

Published byChandler Brenton Modified over 2 years ago

1
EXAMPLE 1 Find ratios of similar polygons Ratio (red to blue) of the perimeters a.a. Ratio (red to blue) of the areas b.b. In the diagram, ABC DEF. Find the indicated ratio. ∆∆

2
EXAMPLE 1 Find ratios of similar polygons a. By Theorem 6.1 on page 374, the ratio of the perimeters is 2:3. b. By Theorem 11.7 above, the ratio of the areas is 2 2 :3 2, or 4:9. SOLUTION The ratio of the lengths of corresponding sides is 12 8 = 3 2, or 2:3.

3
EXAMPLE 2 Standardized Test Practice SOLUTION The ratio of a side length of the den to the corresponding side length of the bedroom is 14 : 10, or 7 : 5. So, the ratio of the areas is 7 2 : 5 2, or 49 : 25. This ratio is also the ratio of the carpeting costs. Let x be the cost for the den.

4
EXAMPLE 2 Standardized Test Practice 25 49 = 225 x cost of carpet for den cost of carpet for bedroom x 441 = Solve for x. ANSWER It costs $ 441 to carpet the den. The correct answer is D.

5
1. The perimeter of ∆ABC is 16 feet, and its area is 64 feet. The perimeter of ∆DEF is 12 feet. Given ∆ABC ≈ ∆DEF, find the ratio of the area of ∆ABC to the area of ∆DEF. Then find the area of ∆DEF. GUIDED PRACTICE for Examples 1 and 2 SOLUTION A B C E D F The ratio of the lengths of the perimeters is 12 16 = 3 4, or 4:3.

6
GUIDED PRACTICE for Examples 1 and 2 By Theorem 11.7, the ratio of the areas is 4 2 :3 2, or 16:9, 9 16 DEF Let x be the area of ∆ 9 16 x 64 = 16 x= 9 64 x = 36 Write Proportion Cross Product Property Solve for x Area of = 36 ft 2 DEF ∆

Similar presentations

OK

Hosted by *** 100 200 400 300 400 RatiosProportions Similar Other 300 200 400 200 100 500 100.

Hosted by *** 100 200 400 300 400 RatiosProportions Similar Other 300 200 400 200 100 500 100.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on online shopping project in php Ppt on union parliament of india Ppt on ordinal numbers for grade 1 Pdf to ppt online convert Ppt on art and craft movement artists Ppt on bombay film industry Ppt on question tags songs Ppt on statistics in maths what does mode Ppt on floods in india free download Ppt on ministry of corporate affairs