High School

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Part A: Timothy said that triangle KLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy correct? Explain your answer or show your work by listing the coordinates of the primage and image and showing the scale factor



Part B: Are the two triangles similar? Explain.

Part A Timothy said that triangle KLM was dilated by a scale factor of 1 5 centered at the origin Is Timothy correct Explain your

Answer :

a. Timothy is correct, as each vertex of triangle KLM was multiplied by 1.5.

b. The two triangles are similar, as they have the same angle measures, since a dilation does not change the angle measures.

What is a dilation?

A dilation occurs when each of the vertices of a image is multiplied by a constant, which is called scale factor.

The vertices of triangle KLM and given as follows:

K(-1,3), L(8,4) and M(10,-3).

The vertices of the triangle K'L'M', obtained after the dilation, are given as follows:

K'(-1.5, 4.5), L'(12, 6) and M'(15, -4.5).

Hence the scale factor is given by the multiplication of one the equivalent coordinates of the equivalent vertices, as follows:

-1.5/-1 = 1.5.

Meaning that Timothy is correct.

The two triangles are similar, as the dilation changes the side lengths but keep the angle measures constant, keeping the similarity of the triangles.

More can be learned about dilation at brainly.com/question/29223851

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