Answer:
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"
- Reflect segment XY over the y-axis, we get segment XY between x = 2 and x = 6, on y = 5 line.
- Translate right 3 units, we get segment XY on y = 5 line, between x = 5 and x = 9.
- Translate down 4 units, we get segment XY on y = 1 line, between x = 5 and x = 9.
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"
- Reflect segment XY over y = x line, we get segment XY, between y = -2 and y = -6, on x = 5 line.
- Translate up 3 units, we get segment XY on x = 5 line, between y = 1 and y = -3.
Resulting segment matches segment X'Y', this is the correct answer.
