1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dimulka [17.4K]
3 years ago
8

In the figure, AB║CD and ∠EIA is congruent to ∠GJB Complete the following statements to prove that ∠IKL is congruent to ∠DLH.

Mathematics
2 answers:
REY [17]3 years ago
5 0

Here it is given that AB || CD

< EIA = <GJB

Now

∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)

∠EIA  ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)

∠IKL + ∠IKC 180° and ∠DLH +  ∠JLD =180° (Linear Pair Theorem)

So

m∠IKL + m∠IKC = 180°       ....(1)

But ∠IKC  ≅ ∠JLD

m∠IKC = m∠JLD (SUBTRACTION PROPERTY OF CONGRUENCY)

So we have

m∠IKL + m∠JLD = 180°

∠IKL and ∠JLD are supplementary angles.

But ∠DLH and ∠JLD are supplementary angles.

∠IKL ≅ ∠DLH (CONGRUENT SUPPLEMENTS THEOREM)

Sauron [17]3 years ago
3 0
The answers 
1)  <span>D. (TRANSITIVE PROPERTY OF CONGRUENCY)
2)  </span><span>C. (LINEAR PAIR THEOREM)
3)  </span><span>D. TRANSITIVE PROPERTY OF CONGRUENCY) to equations (1) and (2), we get m∠IKL + m∠JLD = 180°.
4)  </span><span>C. (CONGRUENT SUPPLEMENTS THEOREM)</span>
You might be interested in
Which of these relations are functions? Select ALL that apply. Pictures are the choices.
alexdok [17]

Answer:

The black, green, and blue charts are all functions

Step-by-step explanation:

3 0
3 years ago
Help! the picture is the problemmm
Amanda [17]

Answer:

sorry i cant answer that one man.

Step-by-step explanation:

5 0
3 years ago
What is the simplest form for 10/42
QveST [7]


2 goes into both numbers, so divide both by 2;

10 ÷ 2 = 5

42 ÷ 2 = 21

so 10/42 in simplest form is: 5/21

7 0
3 years ago
I need help on this and more so can sb help me ?..
nignag [31]

Answer:

Its the 2nd one

Step-by-step explanation:

Simplify the exponents and then multiply

4 0
3 years ago
Find the 50th term of 15, 9, 3, -3,...
MA_775_DIABLO [31]

Answer:-32 I THINK IM NOT 100 PERCENT POSITIVE

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • The drown football,team outscored its opponent 5:2 last season. If their opponent scored 38 points,how many points did drown sco
    7·1 answer
  • Factor completely. y2 - 12y + 32 A. (y + 4)(y + 8) B. (y - 4)(y - 8) C. (y + 18)(y + 2) D. (y - 18)(y - 2)
    13·2 answers
  • The energy saving from recycling one glass bottle will power the oven Adam uses to cook the turkey for 7.5 minutes.
    8·1 answer
  • Can you form a triangle with angles that measure 70,90 and 20°
    10·2 answers
  • Can you conclude that the triangles are similar?
    12·1 answer
  • Find the slope between the points (-8,-4) and (0,0).
    11·1 answer
  • Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases exponentially as
    6·1 answer
  • Hi please follow me and I'll u back !!!
    10·1 answer
  • It was reported in 2019, the world’s tallest giraffe lives in Australia and measures 5.7 m . How tall is the giraffe in centimet
    12·2 answers
  • Which prism has a greater volume?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!