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The smaller triangle is a pre-image of the bigger triangle. The center of dilation is (1, −1).

What is the scale factor used to create the dilation?

A 1/4
B 6
C -4
D 4

The smaller triangle is a pre-image of the bigger triangle. The center of dilation-example-1
User Maxim G
by
8.2k points

2 Answers

2 votes

Answer:

The answer is -4.

Explanation:

The smaller triangle is a pre-image of the bigger triangle. The center of dilation-example-1
User Achim
by
8.4k points
6 votes

Answer:

The scale factor is
-4

Explanation:

Lets have a look to the co-ordinates of triangle ABC and A'B'C.

The point of C=
(1,-1) and B=
(-1,-1)

The point of C=
(1,-1) and A'=
(9,-1)

By applying distance formula we can calculate the distance of line segment :
√((x1-x)^2+(y1-y)^2)

BC =
√((1+1)^2+(0)^2)=
√(4)=2

Similarly CA=
√(64)=8

Scale factor = K=
(CA')/(BC)=
(8)/(2)=4

The image and its preimage lies in opposite sides of center of dilation, C=
(1,-1) therefore the scale factor will be negative.

Our final answer = -4

The smaller triangle is a pre-image of the bigger triangle. The center of dilation-example-1
User Calin Vlasin
by
8.9k points

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