Core Connections Integrated II, 2015
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Core Connections Integrated II, 2015 View details
3. Section 8.3
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Exercise 70 Page 455

Practice makes perfect
a The ratio of similarity tells us the relationship between two corresponding sides in similar figures.

Therefore, if the ratio of similarity is 34, the sides of the smaller figure is 75 % of the larger figures. This must also means that the ratio of the perimeter is 34 as well.

b If the linear scale factor is r, the product of r and p will equal the perimeter of Figure B.

P_B= pr

c The area ratio of two similar figures is always the square of the linear scale factor. Therefore, if the linear scale factor is r, the area ratio must be r^2. By multiplying the area ratio of Figure A by a, we get the area of Figure B.

A_B= ar^2