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MathematicsMathematics
11 September, 05:38

What is the missing step in the proof?

A. Statement: ∠IKL≅∠JLK

Reason: For parallel lines cut by a transversal, corresponding angles are congruent.

B. Statement: ∠IKL and ∠IKC are supplementary.

Reason: Linear Pair Theorem

C. Statement: ∠GJI≅∠JLK

Reason: For parallel lines cut by a transversal, corresponding angles are congruent.

D. Statement: ∠GJI and ∠IJL are supplementary.

Reason: Linear Pair Theorem

1. ∠EIJ≅∠GJI given

2. ∠EIJ≅∠IKL For parallel lines cut by a transversal, corresponding angles are congruent.

3. ∠IKL≅∠GJI Transitive Property of Equality

4.

5. ∠IKL and ∠IJL are supplementary. Transitive Property of Equality

+3
Answers (2)
  1. 11 September, 05:52
    0
    The correct answer is:

    D) Statement: ∠GJI and ∠IJL are supplementary; Reason: Linear Pair Theorem

    Explanation:

    Step 3 states " ∠IKL≅∠GJI Transitive Property of Equality".

    Step 5 states " ∠IKL and ∠IJL are supplementary. Transitive Property of Equality".

    The inferred piece of information here is that ∠GJI and ∠IJL are supplementary. Since we do not have anything relating ∠IKL and ∠IJL, we must have something relating the two; relating ∠GJI and ∠IJL will work, since we know that ∠IKL≅∠GJI.
  2. 11 September, 06:06
    0
    The correct answer to this is the option:

    C. Statement: ∠GJI≅∠JLK

    Reason: For parallel lines cut by a transversal, corresponding angles are congruent.

    Since the two angles are corresponding angles and the two parallel lines are cut by a transversal.
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Home » Mathematics » What is the missing step in the proof? A. Statement: ∠IKL≅∠JLK Reason: For parallel lines cut by a transversal, corresponding angles are congruent. B. Statement: ∠IKL and ∠IKC are supplementary. Reason: Linear Pair Theorem C.
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