Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

pentagon pqrst and its reflection, pentagon pqrst, are shown in the coo…

Question

pentagon pqrst and its reflection, pentagon pqrst, are shown in the coordinate plane below: what is the line of reflection between pentagons pqrst and pqrst? x = 1 y = x x = 0 y = 0

Explanation:

Step1: Observe the x - coordinates

The x - coordinates of corresponding points of pentagons PQRST and P'Q'R'S'T' have opposite signs while the y - coordinates remain the same. For example, if a point in PQRST has coordinates (x,y), the corresponding point in P'Q'R'S'T' has coordinates (-x,y).

Step2: Recall reflection rules

A reflection across the y - axis (the line x = 0) changes the sign of the x - coordinate of each point while keeping the y - coordinate the same.

Answer:

C. x = 0