Enter the rule used to transform triangle ABC . If there is a dilation, dilate with respect to the origin. The rule used to transform triangle ABC(x, y)

There is a dilation and the scale factor is 4

Step-by-step explanation:

The details that complete the question are:

△ABC

A(2, 5), B(6, 10), C(9, −1)

△A′B′C′

A′(0.5, 1.25), B′(1.5, 2.5), C′(2.25, −0.25)

Checking if there is dilation or not

To do this, we make use of the following scale factor (k) formula:

Using A and A'

Factorize the numerator

Using B and B'

Factorize the numerator

Using C and C'

Factorize the numerator

The above shows that k is 4 in all cases.

Hence, there is a dilation and the scale factor is 4

answer for #1 is c

answer for #2 is d

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