Question

Julia was creating similar triangles in the coordinate plane. The first triangle had a rise of 3 and a run of 10. The second triangle had a rise of 7.5.
Analyze Julia’s work to see if she found the correct length of the run for the second triangle to be similar to the first triangle.
WORK:

1. 3/10=7.5/x

2. 75 = 3x

3. x = 25

Is Julia correct? If not, what was her mistake?
A. Yes, she is correct.
B. No, her proportion does not have the corresponding measures from corresponding figures in the same positions in the ratios.
C. No, she needed to have the product of the numerators equal to the product of the denominators.
D. No, she needed to multiply 7.5 to both sides.

Answer 1

Answer:

Yes, she is correct.

Step-by-step explanation:

Answer 2

Julia's answer is correct.

She has taken the corresponding sides in a perfect manner. She has made the ratio of rise over run in both the cases and equated them in order to find the value of the unknown run, x, which is the correct way to proceed.

Julia is also perfectly correct with her calculations. Her answer of x=25 is correct and thus Option A is the correct option for our answer to this question.