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A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), and C′(15, 0)-. The origin is the center of dilation. What is the scale factor of the dilation?

Answer :

HomertheGenius
k · ( 0, 0 ) = ( 0 , 0 )
k · ( 0 , 4 ) = ( 0 , 10 )
k · ( 6, 0 ) = ( 15, 0 )
k = 15/6 = 10/4 = 2.5
Answer: The scale of dilation is 2.5
abiolataiwo2015

The scale factor of the dilation is 2.5.

What is Scale factor?

Scale factor are use to determine numbers that are similar but which tend to have distinct scales.

Triangle with vertices dilated to yield a triangle with vertices.

A(0, 0), A′(0, 0)

B(0, 4), B′(0, 10)

C(6, 0)  C′(15, 0)

Hence:

0B′/0B=0C′/0C

0B′/0B=10/4=15/6

=2.5

Therefore the scale factor of the dilation is 2.5.

Learn more about scale factor here:https://brainly.com/question/22973053

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