Ask Question
MathematicsMathematics
28 January, 21:59

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

+5
Answers (2)
  1. 28 January, 23:42
    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.
  2. 29 January, 00:12
    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.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “What is the missing step in the proof? A. Statement: ∠IKL≅∠JLK Reason: For parallel lines cut by a transversal, corresponding angles are ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
A market sells 6 cans of food for every 7 boxes of food. the market sold a total of 26 cans and boxes today. how many of each kind did the market sell? 6 cans and 20 boxes 12 cans and 14 boxes 14 cans and 12 boxes 20 cans and 6 boxes
Answers (1)
Red Top Cab Company receives multiple complaints per day about driver behavior. Over 9 days the owner recorded the number of calls to be 3, 0, 8, 9, 6, 7, 4, 9, and 8. What is the upper control limit for the 3-sigma c-chart
Answers (1)
A number is chosen at random from 1 to 50. Find the probability of selecting factors of 36
Answers (1)
Charmaine drinks 3 1/2 pints of milk a day. How much is this in cups? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answers (1)
Find a polynomial of degree 3 with real coefficients and zeros of - 3,-1, and 4, for which f (- 2) = -18.
Answers (1)
New Questions in Mathematics
Printer A can print 30 pages per minute. Printer B can print 40 pages per minute. Printer B begins printing 3 minutes after Printer A begins printing. Both printers stop printing 10 minutes after Printer A started.
Answers (1)
How to estimate $3472 : 680 and solve problem
Answers (1)
What is the solution of the equation 37=6x + 10?
Answers (2)
Is 4.32332333 ... a rational or irrational number?
Answers (2)
1. Oblicz sumę wszystkich czynników pierwszych liczby 9350, jeżeli największy z nich wynosi 17. 2. Uzasadnij, że prostokąt o przekątnej długości 8 cm i szerokości 4 (pierwiastki z) 2 cm jest kwadratem. 3.
Answers (1)
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.
Sign Up Forgot Password?