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lara [203]
3 years ago
5

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 p

rime B prime C prime has points (10, 10), (17, 20), (25, 10). Two-fifths One-half 2 2 and one-half
Mathematics
2 answers:
sergiy2304 [10]3 years ago
4 0

Answer:

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

s(ABC) = A'B'C'

From the given parameters;

A = (4,4) when A' = (10,10)

Using this values;we have

s * (4,4) = (10,10)

Divide both sides by (4,4)

\frac{s * (4,4)}{(4,4)} = \frac{(10,10)}{(4,4)}

s = \frac{(10,10)}{(4,4)}

Divide 10 by 4; This gives 2.5

So,

<em>s = 2.5</em>

<em></em>

Using Point B and B'

B = (7,8) when A' = (17,20)

s * (7,8) = (17,20)

Divide both sides by (7,8)

\frac{s * (7,8)}{(7,8)} = \frac{(17,20)}{(7,8)}

s = \frac{(17,20)}{(7,8)}

Divide 17 by 7 and 20 by 8; This gives 2.5

So,

<em>s = 2.5</em>

<em></em>

Using Point C and C'

C = (10,4) when C' = (25,10)

s * (10,4) = (25,10)

Divide both sides by (10,4)

\frac{s * (10,4)}{(10,4)} = \frac{(25,10)}{(10,4)}

s= \frac{(25,10)}{(10,4)}

Divide 25 by 10 and 10 by 4; This gives 2.5

So,

<em>s = 2.5</em>

<em></em>

<em>Hence, the scale factor is 2 and one-half(</em>2\frac{1}{2}<em>)</em>

Klio2033 [76]3 years ago
4 0

Answer:

2 1/2

Step-by-step explanation:

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