Question

use the information given to answer questions 4 - 5. parallelogram qrst is translated 10 units right and reflected across the x - axis to form parallelogram qrst. part a 4. which statement is true? a line segment qr is 2 units long. b line segment qr is 5 units long. c line segment st is 4 units long. d line segment st is 10 units long.

Explanation:

Step1: Recall translation and reflection properties

Translation and reflection are rigid - motions, which preserve the lengths of line - segments. So, we can find the lengths of the original line - segments in parallelogram QRST to answer the question.

Step2: Analyze the length of line - segments in the original parallelogram

By counting the grid units in parallelogram QRST, we find that line segment QR (which will have the same length as Q'R' after transformation) is 5 units long, and line segment ST (which will have the same length as S'T' after transformation) is 4 units long.

Answer:

C. Line segment S'T' is 4 units long.