Question

Consider the square RSQT. Which two transformations carry the square onto itself?

a) a reflection across the line passing through point Q and point S
b) a reflection across line RQ
c) a rotation 90° clockwise about point Q
d) a rotation 180 clockwise about point R

Answer 1

The two transformations that carry the square RSQT onto itself are a reflection across the line passing through point Q and point S, and a rotation 180° clockwise about point R.

Step-by-step explanation:

The two transformations that carry the square RSQT onto itself are:

1. a) a reflection across the line passing through point Q and point S: This transformation flips the square across the line QS, creating a symmetrical image of the square.
2. b) a rotation 180° clockwise about point R: This rotation turns the square upside down, but since it is rotated by 180 degrees, it remains the same square.