Question

Figure PQRS is reflected about the y-axis to obtain figure P'Q'R'S':

A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A polygon PQRS has P at ordered pair 1, 1, Q at ordered pair 2, 3, R at ordered pair 3, 3, S at ordered pair 4, 2. A polygon P prime Q prime R prime S prime has P prime at ordered pair negative 1, 1, Q prime at ordered pair negative 2, 3, R prime at ordered pair negative 3, 3, and S prime at ordered pair negative 4, 2.

Which statement best describes the relationship between the two figures?

Figure PQRS is bigger than figure P'Q'R'S'.
Figure PQRS is similar to figure P'Q'R'S'.
The measure of angle S is equal to the measure of angle Q'.
The measure of angle S is equal to the measure of angle P'.

Answer 1

Figure PQRS is similar to figure P'Q'R'S'.

Explanation:

p = (1, 1) P' (-1, 1)

q = (2, 3) q' (-2,3)

r = (3, 3) r' (-3, 3)

s = (4, 2) s' (-4, 2)