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jasmine2555
27.06.2020 •
Mathematics
What is the scale factor in the dilation? On a coordinate plane, triangle A B C has points (4, 4), (7, 8), (10, 4). Triangle A prime B prime C prime has points (10, 10), (17, 20), (25, 10). Two-fifths One-half 2 2 and one-half
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Ответ:
2 and one half
Step-by-step explanation:
Given
ABC = (4,4),(7,8),(10,4)
A'B'C' = (10,10),(17,20),(25,10)
Required:
Find the Scale Factor
Let the scale factor be represented by s
The relationship between ABC, A'B'C' and s is given as
From the given parameters;
A = (4,4) when A' = (10,10)
Using this values;we have
Divide both sides by (4,4)
Divide 10 by 4; This gives 2.5
So,
s = 2.5
Using Point B and B'
B = (7,8) when A' = (17,20)
Divide both sides by (7,8)
Divide 17 by 7 and 20 by 8; This gives 2.5
So,
s = 2.5
Using Point C and C'
C = (10,4) when C' = (25,10)
Divide both sides by (10,4)
Divide 25 by 10 and 10 by 4; This gives 2.5
So,
s = 2.5
Hence, the scale factor is 2 and one-half(
)
Ответ:
Step by step explanation: