Chapter 8

The means are _____ The extremes are ____ ___ =

Means: 3 and 4 Extremes: 2 and 6

In a proportion, the product of the _____ equals the product of the _____

In a proportion, the product of the means equals the product of the extremes

What symbol is used for “similar”?

~

For similar polygons, corresponding angles are ____ and corresponding sides are ____

For similar polygons, corresponding angles are congruent and corresponding sides are proportional

If DOG ~ CAT then D ~ ___ and G ~ ____ ==

If DOG ~ CAT then D C and G T == ~~

Always, sometimes or never? Two congruent polygons are _____ similar

Two congruent polygons are always similar

Always, sometimes or never? Two rectangles are _____ similar

Two rectangles are sometimes similar

The ratio of the length:width of a Golden Rectangle is (approximately) _____ : _____

The ratio of the length:width of a Golden Rectangle is (approximately) 1.62 : 1

If BAD ~ CAT then complete the proportion: A B DC T a b c == a b c x y z

a b c y x z == ___

Complete the proportion: 3 4 x x y ==

3 4 x x y == 3 + y1215 (scale factor = 1:3)

Multiply (x + 3)(x – 5)

(x + 3)(x – 5) = x 2 – 5x + 3x – 15 F O I L = x 2 – 2x - 15

SOLVE BY FACTORING: x 2 – 9 = 0 x 2 + 3x –18 = 0

x 2 – 9 = 0 (x – 3)(x + 3) = 0 x = 3 or -3 x 2 + 3x –18 = 0 (x + 6)(x – 3)= 0 x = -6 or 3

Complete the proportion: 105 x __ =

10 x x 5 = hyp 1 alt alt hyp 2 _____ = __ __

Complete the proportion: 105 y __ =

10 y y 15 = hyp 1 leg 1 leg 1 hyp _____ = __ __

Complete the proportion: 105 z __ =

5 z z 15 = hyp 2 leg 2 leg 2 hyp _____ = __ __

Find the Geometric Mean of 4 and 8

(4)(8) = = (Square root of product)

Complete the proportion: a b ___ = a b x y

a b ___ = a b x y x y

Complete the proportion: a b ___ = ? ? a b c d

= a b c d c d a b

For similar polygons, the ratio of perimeters equals the _________

For similar polygons, the ratio of perimeters equals the scale factor

Complete for similar polygons/circles: Scale Factor = 2 : 3 Perimeter/Circumference Ratio = _____ Area Ratio = _____

Perimeter Ratio = 2 : 3 Area Ratio = 4 : 9 (2 2 : 3 2 )