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
Wewaii [24]
2 years ago
5

Based only on the information given in the diagram, which congruence

Mathematics
2 answers:
Readme [11.4K]2 years ago
6 0

3 Answers:

  1. Choice A.  LL
  2. Choice D.  HL
  3. Choice F.  SAS

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

Explanation:

Let's go through the answer choices one by one.

  • A) This can be used because LL = leg leg, and this means we have two pairs of congruent legs. Those pairs are AC = LN and CB = NM. The LL theorem only applies to right triangles.
  • B) This cannot be used. We don't have info about two pairs of angles. We only know that one pair of angles are the same (those 90 degree angles). So we can't form the second "A" in "ASA". This idea will come up again in choice C and choice E.
  • C) This cannot be used. Why not? Because the "A" of "LA" refers to "acute angle". But unfortunately we don't know anything about the acute angles (whether they are congruent or not). The LA theorem can only be applied to right triangles.
  • D) This can be used. We can use the HL (hypotenuse leg) theorem because we see that AB = LM are the pair of congruent hypotenuses, and you can use any of the congruent leg pairs to form the L of HL. Similar to LL and LA, the HL theorem only works for right triangles.
  • E) This cannot be used. Like with choice B, we can't form the second "A" of "AAS".
  • F) This can be used because we have two pairs of congruent sides, with a pair of congruent angles between those sides. Those angles being the marked 90 degree angles. It turns out that LL theorem is a special case of the SAS theorem.

In short, we can use choice A, choice D, choice F. We can't use the other three choices because we lack the info about any other pairs of angles.

Rzqust [24]2 years ago
5 0

Answer:

SAS and HL (SSS works as well, but isn't an option) I am not familiar with LL and LA.

You might be interested in
Follow directions please. Do your best. You don't need to explain. I am not doing BRAINLIEST anymore. It causes too many problem
liraira [26]

Answer: 760267200

Step-by-step explanation:

4 0
2 years ago
A vaccine to prevent severe rotavirus gastroenteritis (diarrhea) was given to African children within the first year of life as
USPshnik [31]

Answer:

Detailed solution is given below in the attached image

5 0
3 years ago
PLZ HELP I BEGG U! 100 points
rusak2 [61]

Answer:

Solution given;

l=4.5ft

b=2ft

h=2ft

now

volume=l*b*h=4.5*2*2=18ft³

is a required volume.

Now

total surface area =2(lb+lh+bh)

=2(4.5*2+4.5*2+2*2)=44ft²

is a total surface area.

5 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=100%20%5Ctimes%2068%20%5Cdiv%2015" id="TexFormula1" title="100 \times 68 \div 15" alt="100 \ti
goldfiish [28.3K]
The answer is 453 rounded
4 0
3 years ago
A recipe for a soup.calls for 1/3 cup of chopped onion and 2/6 cup of chopped
Anestetic [448]

Answer: 2/3

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Reflect triangle A in the line y = 1.
    8·1 answer
  • The polygons are similar. The area of one polygon is given. Find the area of the other polygon,
    12·1 answer
  • What is 0.6 equal to as a fraction
    15·2 answers
  • I cant figure out what is 4×(3x+5
    9·2 answers
  • Find the exact perimeter of triangle ABC.
    12·1 answer
  • If the discriminant is equal to 4, there are ..<br> real solutions.
    11·1 answer
  • Raina is putting 13 colored light bulbs into a string of lights. There are 5 white light bulbs, 6 orange light bulbs, and 2 blue
    8·1 answer
  • The ratio of a pair of corresponding sides in two similar triangles is 5:3. The area of the smaller triangle is 108 in2. What is
    11·1 answer
  • Simplify 2/3x-4/9y+x+y
    10·2 answers
  • If tan of theta =3/4 what is sec of theta​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!