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
Rom4ik [11]
3 years ago
12

Determine if KLMN must be a parallelogram. Justify your answer.

Mathematics
2 answers:
Ludmilka [50]3 years ago
7 0

Answer:

(D)

Step-by-step explanation:

For there too be a parallelogram, you must have two pairs of opposite side parallel lines. This means that KN & LN must be parallel, and KL & NM have to be parallel.

~

vovikov84 [41]3 years ago
4 0

Answer:

Choice C

One pair of opposite sides are parallel (KN and LM). That same pair of opposite sides are also congruent. Therefore, the figure is a parallelogram.

==============================================

The tick marks tell us that the sides are congruent. So KN = LM. In short, they are the same length.

They are also parallel because of the similar arrow markers that are in the middle of the segment. If the arrows were at the endpoint of the segment, then you would have a ray. But being in the middle of the segment means "this line is parallel to any other line with the same arrow marker in the same basic position".

With this set of info, we can draw in line KM and show that angle NKM = angle LMK (alternate interior angles). Then by SAS, we can show that triangle NKM = triangle LMK. Finally, using CPCTC, we can show that KL = NM and that angle KMN = angle MKL

The fact that angles KMN and MKL are alternate interior angles would help us prove that KL and MN are parallel.

So in short, we have enough info to prove the figure is a parallelogram. Even though at first glance, it may seem that this figure is not a parallelogram (since only one pair of opposite sides are parallel).

You might be interested in
True or false the difference between consecutive perfect square numbers is always odd
ipn [44]
Hi,
That would be true.
4 0
3 years ago
Please help me find the volume
SSSSS [86.1K]

Answer:

C,. 3 3/4

Step-by-step explanation:

length times with times hight

1 1/4 x 1 1/2 x 2

convert everything to same denominator

1 1/4

1 2/4

1 4/4

solve

1 1/4 x 1 2/4 x 1 4/4

4 0
3 years ago
James says that since -5 is farther from zero on a number line than -4 is, then -5 > -4. Use complete sentences to explain th
nikitadnepr [17]
-4 is less than -5 even though they are both on the same side of the number line. -4 is closer to zero.
7 0
3 years ago
Read 2 more answers
What is the name of this type of graph?
Lostsunrise [7]
This depends on the equation.
8 0
3 years ago
A principal is organizing a field trip for more than 300 students. She has already arranged the transportation for 220 students.
chubhunter [2.5K]

Answer:

B is your answer llsls

Step-by-step explanation:

jejdjdhd

6 0
3 years ago
Read 2 more answers
Other questions:
  • How do I find the largest angle of the triangle ??
    12·1 answer
  • Help on 3 5 and 7 please
    11·1 answer
  • A dog is given a dosage of 100 mg of antibiotics. The amount of antibiotics in the dog's bloodstream will decrease by 40% each h
    6·1 answer
  • Faith Middle School had 860 students enrolled last year. This year they have 5% more students. How many students do they have th
    11·2 answers
  • If there are 16 ounces in one pound than how many ounces are there in a half pound?
    13·2 answers
  • X² – 16x + 64<br><br><br> Please help!!!
    8·1 answer
  • My question what is 75 percent of hours
    6·2 answers
  • Look at this shape:
    14·1 answer
  • A point R (-2,5) is mapped to point R',as described by a translation of 6 units to the rights and 7 units down.Mark R' on the co
    14·1 answer
  • Find the derivative of f(x) = 7x + 4
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!