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A reflection over the line y = x followed by a translation up 3 units

Step-by-step explanation:

Since this is a multiple choice question, let's test each answer out.

First scenario:

"A reflection over the y-axis followed by a translation right 3 units and down 4 units"

Resulting segment does not match segment X'Y', this answer is incorrect

Second scenario:

"A reflection over the line y = x followed by a translation up 3 units"

Resulting segment matches segment X'Y', this is the correct answer.

step-by-step explanation:

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x