4
QuizMultiple Choice

Introduction to Proof — Quiz

Question 4 • MASTER COURSE Geometry

Given that line segment RT is congruent to line segment WX , which statement must be true?

Answer
A
RT plus TW is equal to RX
B
RT is equal to 2 times RX
C
WX is equal to 2 times RX
D
RT plus TW is equal to WX plus TW

Explanation

Congruent segments have equal lengths, so RT = WX. Adding the same length TW to both sides gives RT + TW = WX + TW. Therefore, the statement that must be true is “RT plus TW is equal to WX plus TW.”

AI-written and checked against the verified answer.

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