Question

GIVING AWAY BRAINLIEST AND 50 POINTS IF ANSWERED IN 2 MINUTES Question 3(Multiple Choice Worth 5 points)

(02.03 MC)

Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?

A coordinate grid is labeled from negative 5 to 0 to 5 on both x- and y-axes at increments of 1. Figure PQRS has P at ordered pair 1, negative 3, Q at 3, negative 2, R at 3, negative 3, S at 2, negative 4. Figure P prime Q prime R prime S prime has P prime at ordered pair negative 3,1 Q prime at negative 2,3 R prime at negative 3,3 S prime at negative 4, 2.

Counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis

Answer 1

Answer:

the answer is The quadrilateral PQRS and its image P'Q'R'S' is shown in the diagram below.

The transformation that gives the image is the reflection on the line y = x

This is proved by the distance of each coordinate of PQRS to the mirror line equals to the distance of each coordinate of P'Q'R'S' to the mirror line.

hope it helps!