Question

abcd is a square. given abcd ≅ abcd, describe a pair of rigid motions that maps abcd to abcd. choose the correct answer below a. translation 6 units down, translation 6 units right b. reflection across the x - axis, translation 7 units right c. reflection across the x - axis, translation 6 units up d. translation 6 units up, translation 6 units left

Explanation:

Step1: Analyze reflection

A reflection across the x - axis changes the sign of the y - coordinate of each point. This flips the square vertically.

Step2: Analyze translation

A translation of 6 units up moves each point 6 units in the positive y - direction. This corrects the vertical position after reflection to map one square to the other.

Answer:

C. Reflection across the x - axis, translation 6 units up