Chapter 8. 2 3 4 6 The means are _____ The extremes are ____ ___ =
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Transcript of Chapter 8. 2 3 4 6 The means are _____ The extremes are ____ ___ =
Chapter 8
2 34 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
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 thencomplete 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
3 4
8
15
xy
= =
3 4 x
3 4
8
15
xy
= =3 + y 12 15
(scale factor = 1:3)
Multiply (x + 3)(x – 5)
(x + 3)(x – 5)
= x2 – 5x + 3x – 15 F O I L
= x2 – 2x - 15
SOLVE BY FACTORING:
x2 – 9 = 0
x2 + 3x –18 = 0
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:
10 5
x__ __=
10 x x 5
=
hyp1 alt
alt hyp2
_____ _____=
__ __
Complete the proportion:
10 5
y __ __=
10 y y 15
=
hyp1 leg1
leg1 hyp_____ _____=
__ __
Complete the proportion:
10 5
z__ __=
5 z z 15
=
hyp2 leg2
leg2 hyp_____ _____=
__ __
Find the Geometric Mean of 4 and 8
(4)(8) 32 4 2= =
(Square root of product)
Complete the proportion:
a b
___ ___=
a b
x y
a b
___ ___=
a b
x y
xy
Complete the proportion:
a b
___ = ___?
?
a
b
c
d
___ = ___
a
b
c
d
cd
ab
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 (22 : 32)
