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
grandymaker [24]
3 years ago
8

Suppose KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. Prove that A is equidistant from LM and KN.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer:

This is proved by ASA congruent rule.

 Step-by-step explanation:

Given KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. we have to prove that A is equidistant from LM and KN i.e we have to prove that AP=AQ

we know that the diagonals of parallelogram bisect each other therefore the the bisectors of ∠K and ∠L must be the diagonals.

In ΔAPN and ΔAQL

∠PNA=∠ALQ    (∵alternate angles)  

AN=AL   (∵diagonals of parallelogram bisect each other)

∠PAN=∠LAQ      (∵vertically opposite angles)

∴ By ASA rule ΔAPN ≅ ΔAQL

Hence, by CPCT  i.e Corresponding parts of congruent triangles PA=AQ

Hence, A is equidistant from LM and KN.

You might be interested in
What numbers do we need to round to the nearest 100?
bixtya [17]
All the way up till 150
4 0
3 years ago
Identify the transformations of the graph of f(x) = x3 that produce the graph of the given function
vichka [17]

Answer:

Step-by-step explanation:

6 0
3 years ago
A touchdown it's worth six points. Additionally you score an extra point if you can take a field goal. Is the total number of po
Arisa [49]
No because it would be 7/6 which is not proportional.
6 0
3 years ago
Bobby will buy coffe and hot chocolate for his co-workers each cup of coffe costs $2.25 and each cup of hot chocolate costs $1.5
snow_lady [41]
He buys three cups of hot choclate cause 1.50*3= 4.50
and he buys 5 cups of coffe cause 2.25*5=11.25
and 11.25 + 4.50=15.75

3 0
3 years ago
2. The seventh grade class is putting on a variety show to raise
ladessa [460]

Answer:

67

Step-by-step explanation:

15 x 10 = 150

150 x 6 = 900

15 x 7 = 105

900 + 105 = 1005

closest to 1000 without decimals

with decimals 66.6666666667

Please mark brainliest

7 0
3 years ago
Read 2 more answers
Other questions:
  • What's the long formula to find the surface area of a cylinder ?
    13·1 answer
  • A rescue company determined that 90 out of 100 calls they received were true emergencies. Which describes the fraction of their
    12·1 answer
  • F(x)=3(12)x−3 ; [−1,2] , Find the average rate of change of the function over the given interval.
    8·1 answer
  • The volume of a sphere is 5000 pi m 3 what is the surface area
    6·1 answer
  • The integer 3 is 3 units from 0 on the number line. Which integer is also 3 units from 0 on the number line? Complete the senten
    14·1 answer
  • Pls help me this is due in 6 minutes
    9·1 answer
  • Sharon buys four salmon steaks for $22.95 at her local supermarket. The weights of the steaks, in pounds, are 0.68, 0.74, 0.77,
    13·1 answer
  • ITS A MULTI CHOSE QUESTION!! And help as fast as you can! Thank you
    7·1 answer
  • Need help on this question can someone help please and thank you!
    6·1 answer
  • Judah's family wants to ride the bumper boats at a water park. There are 4 children (c) and 2 adults 9 (a) in Judah's family. Th
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!