Question

The smaller triangle is the image of the larger triangle after a dilation. The center of the dilation is (4,2).

Two triangles are graphed on a coordinate plane. The horizontal x-axis ranges from negative 10 to 10 in increments of 1. The vertical y-axis ranges from negative 10 to 10 in increments of 1. A dashed triangle has vertices at begin ordered pair 4 comma 2 end ordered pair, begin ordered pair 4 comma 5 end ordered pair, and begin ordered pair 8 comma 2 end ordered pair. A solid triangle has vertices at begin ordered pair 4 comma 2 end ordered pair, begin ordered pair negative 8 comma 2 end ordered pair, and begin ordered pair 4 comma negative 7 end ordered pair.

What is the scale factor used to create the dilation?

Enter your answer in the box.

Answer 1

Answer:

-1/3

Step-by-step explanation:

Take the ratio of the corresponding sides to get the scale factor so for this equation let's use the hypotenuse.

The length of the hypotenuse of the larger triangle is 12 units and the smaller triangle's hypotenuse is 4 so 4/12 is the scale factor.

However 4/12  can be simplified down to 1/3.

Since the smaller triangle has been flipped upside down the scale factor is negative so the final answer is -1/3

Answer 2

Answer:

-1/3 is correct they were right

Step-by-step explanation: