Triangle XYZ where X (7, 2), Y (-3, 8), and Z (-4, 6) is dilated with a scale factor of one-fourth. Where is the dilation located?

A. X'the coordinate (negative seven-fourths, one-half), Y'the coordinate (three-fourths, negative 2and Z'he coordinate (1, negative three-halves)

B. X'the coordinate (one-half, seven-fourths), Y'the coordinate (2, negative three-fourthsand Z'the coordinate (three-halves, negative 1)

C. X'the coordinate (seven-fourths, one-half), Y'the coordinate (negative three-fourths, 2and Z'the coordinate (negative 1, three-halves)

D. X'the coordinate (negative one-half, seven-fourths), Y'the coordinate (negative 2, three-fourthsand Z'the coordinate (negative three-halves, 1)

Question

Mathematics

Katrina Hogan

23 June, 22:40

Triangle XYZ where X (7, 2), Y (-3, 8), and Z (-4, 6) is dilated with a scale factor of one-fourth. Where is the dilation located?

A. X'the coordinate (negative seven-fourths, one-half), Y'the coordinate (three-fourths, negative 2and Z'he coordinate (1, negative three-halves)

B. X'the coordinate (one-half, seven-fourths), Y'the coordinate (2, negative three-fourthsand Z'the coordinate (three-halves, negative 1)

C. X'the coordinate (seven-fourths, one-half), Y'the coordinate (negative three-fourths, 2and Z'the coordinate (negative 1, three-halves)

D. X'the coordinate (negative one-half, seven-fourths), Y'the coordinate (negative 2, three-fourthsand Z'the coordinate (negative three-halves, 1)

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Answers (1)

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Sariah · Answer 1

The answer to the question is C. the simplest method to ever solve for a dilation is by multiplying the axis by the factor. like in your question, the X (7,2), should be multiplied by the scale factor 1/4. You, first of all, multiply the x-axis (7) by 1/4=7*1/4=7/4. then you multiply the y-axis (2) by 1/4=2*1/4=1/2. After multiplying, the X coordinate would be (7/4,1/2). then solve for the other coordinates and the answer would be C. This is the simplest way to solve for dilation.