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Problem Solving in Geometry with Proportions8.2
25
x 245
x
23
x 3x
Problem Solving in Geometry with Proportions8.2
Chapter 8SimilaritySection 8.2
Problem Solving in Geometry With Proportions
Problem Solving in Geometry with Proportions8.2
Example: 4 is the geometric mean between 2 and 8
84
42
Problem Solving in Geometry with Proportions8.2
Example
3 9
5 15
3 9
5 15
Example155
93
15159
553
The Ratio of the tops = The ratio of the bottom
It’s OK to add the bottom to the top on each side
Problem Solving in Geometry with Proportions8.2
58
8q
813
885
qqp
Problem Solving in Geometry with Proportions8.2
True: Reciprocal Property
False
True: Ratio of Bottoms = Ratio of Tops
False
Problem Solving in Geometry with Proportions8.2
10x
x6
x2 = 60
60x
)15(4x
152x
12x
x8
x2 = 96
96x
)6(16x
64x
152 64
24x
x5
x2 = 120
120x
)30(4x
302x
302
Problem Solving in Geometry with Proportions8.2
15x
x10
x2 = 150
150x
)6(25x
65x
16x
x12
x2 = 192
192x
)3(64x
38x
65 38
24x
x20
x2 = 480
480x
)30(16x
304x
304
Problem Solving in Geometry with Proportions8.2
Fill in the numbers and solve for JN
614
JN8
1414(JN) = 48
1448
JN 724
Problem Solving in Geometry with Proportions8.2
Fill in the numbers and solve for PQ
PQPQ16
64
16 - PQ
4(PQ) = 6(16 – PQ)
4(PQ) = 96 – 6(PQ)
10 PQ = 96
1096
PQ 548
Problem Solving in Geometry with Proportions8.2
Fill in the numbers and solve
Let x represent the price you paid in dollars
152.9
x450
9.52x = 450
x = 47.27
You paid $47.27 for the Jacket
Problem Solving in Geometry with Proportions8.2
Fill in the numbers and solve
Let x represent the price you paid in dollars
68.1
x30
x = 20.4
You paid $20.40 for the sweater
68.1
DollarsAmericanDollarsCanadian
Problem Solving in Geometry with Proportions8.2
Need to know the distance:
d = rt = 10(12) = 120
Let x represent the wingspan
31
120x
3x = 120
x = 40
The plane’s wingspan was 40 feet.
31
DistanceWingspan
Problem Solving in Geometry with Proportions8.2
HW #11Pg 468-471 10-28 Even, 29-31, 33, 34,
38-40, 44, 45
