18
QuizMultiple Choice

Transformations, Angles, Lines, and Triangles — Test

Question 18 • CMS 2026-2027 NC Math 2 CREDIT RECOVERY

Statements Reasons 1. line segment NM is parallel to line segment PO 1. given 2. angle 2 is congruent to angle 3 2. alternate interior angles theorem 3. angle 1 is congruent to angle 3 3. given 4. angle 1 is congruent to angle 2 4. ? 5. line segment LM is parallel to line segment NO 5. converse of alternate interior angles theorem What is the missing reason in the proof?

Answer
A
converse alternate interior angles theorem
B
alternate interior angles theorem
C
transitive property
D
given

Explanation

Step 2 states that angle 2 is congruent to angle 3, and step 3 states that angle 1 is congruent to angle 3. Since both angles are congruent to the same angle, angle 1 is congruent to angle 2 by the transitive property of congruence.

AI-written and checked against the verified answer.

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