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Chapter 8. 2 3 4 6. ___. ___. =. 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.
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2 34 6 ___ ___ = The means are _____ The extremes are ____
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
For similar polygons,corresponding angles are ____ andcorresponding sides are ____
For similar polygons,corresponding angles are congruent andcorresponding 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
Always, sometimes or never? Two rectangles are _____ similar
The ratio of the length:width of a Golden Rectangleis (approximately) _____ : _____
The ratio of the length:width of a Golden Rectangleis (approximately)1.62 : 1
If BAD ~ CAT thencomplete the proportion: B T z a x A b c y C D ab c = =
a b cy x z = = ___ ___ ___
Complete the proportion:34x = = 3 4 x y 8 15
34x = = 3 + y 12 15 (scale factor = 1:3) 3 4 x y 8 15
(x + 3)(x – 5) = x2 – 5x + 3x – 15F O I L= x2 – 2x - 15
x2 – 9 = 0 (x – 3)(x + 3) = 0 x = 3 or -3 x2 + 3x –18 = 0 (x + 6)(x – 3)= 0 x = -6 or 3
Complete the proportion: __ __ = x 10 5
__ __ 10 xx 5 = hyp1alt alt hyp2 _____ _____ =
Complete the proportion: __ __ y = 10 5
10 y y 15 __ __ = hyp1leg1 leg1 hyp _____ _____ =
Complete the proportion: __ __ = z 10 5
5 z z 15 __ __ = hyp2leg2 leg2 hyp _____ _____ =
32 (4)(8) = 4 2 = (Square root of product)
Complete the proportion:a b ___ ___ = y x a b
a b x ___ ___ = y y x a b
Complete the proportion:a b ? ___ = ___ ? a c b d
a c ___ = ___ b d a c b d
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 = _____