Question

question 7
which of the following transformations occurred when translating rectangle abcd to a\b\c\d\?
reflected across the x - axis, then translated right 8 units
rotated 90 about the origin, then reflected across the y - axis
translated right 8 units, then reflected over the y - axis
translated right 8 units, then reflected over the x - axis

Explanation:

Step1: Analyze horizontal movement

Observe the x - coordinates of corresponding vertices of rectangle ABCD and A'B'C'D'. The rectangle moves rightward. Counting the grid - squares, it moves 8 units to the right.

Step2: Analyze vertical transformation

Observe the y - coordinates of corresponding vertices of rectangle A'B'C'D' and A''B''C''D''. The orientation of the rectangle flips vertically, which is a reflection across the x - axis.

Answer:

Translated right 8 units, then reflected over the x - axis