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
Stells [14]
3 years ago
7

What theorem can be used to prove that the two triangles are congruent?

Mathematics
2 answers:
maw [93]3 years ago
7 0

AAS(angle-angle-side), SSS(side-side-side), SAS(side-angle-side), ASA(angle-side-angle), and HL(hypotenuse-length)

stellarik [79]3 years ago
3 0

Answer:

To prove the congruence between two triangles there are several postulates, that can be applied depending on the congruent parts of the triangles.

The postulates are:

  • SAS (Side-Angle-Side): This postulate states that if two triangles have two corresponding sides congruent and one corresponding angle congruent, we can conclude that those triangles are completely congruent.
  • ASA (Angle-Side-Angle): This postulate states that if two triangles have two corresponding angles congruent and one corresponding side congruent, then those triangles are congruent.
  • SSS (Side-Side-Side): This postulate states that if two triangles have all three corresponding sides congruent, then triangles are congruent.
  • AAS (Angle-Angle-Side): If two pairs of corresponding angles are congruent and one pair of corresponding sides is congruent, then both triangle are congruent each other.
  • HL (Hypothenuse-Leg): this postulate is applied when we have right angles. It states that two right triangles are congruent if they have one pair of corresponding leg congruent, and the hypothenuses are also congruent. We could conclude that those right triangles are congruent.

From these postulate, we can demonstrate the congruence between two triangles. Then, from that congruence, we deduct the congruence between each corresponding parts of those triangles. For example, if we demonstrate the congruence by AAS, we deduct that the third angle is also congruent, and the other two sides are also congruent.

You might be interested in
The sum of two consecutive numbers is 37. What are they?
sashaice [31]
 go to WWW. HelpTeacher.com. Type in the type of math you are doing, and it should pull up some examples to help you with that. Hopefully it will.
5 0
3 years ago
19-13p=-17p-5<br> check solution
Vedmedyk [2.9K]
19-13p=-17p-5\ \ \ \ |add\ 13p\ to\ each \ side\\\\&#10;19=-17p+13p-5\\\\&#10;19=-4p-5\ \ \ \ |add\ 5\\\\&#10;24=-4p\ \ \ \ |divide\ by\ -4\\\\p=-6\\\\Solution\ is\ p=-6.
5 0
3 years ago
Number 2 says<br> Write the given equation in exponential form.<br><br><br> Log8 1/512=-3
MA_775_DIABLO [31]

In exponential form it is given as, 8⁻³ = $\frac{1}{512}

<u>Step-by-step explanation:</u>

We have to write the given equation in the exponential form, that is in the form of base to the power value.

Given:

log₈ ($\frac{1}{512} ) = -3

Here the base is 8.

In the exponential form, it is written as,

base to the power 3 = 512

Here the reciprocal of 512 is given, so,

base to the power -3 =   $\frac{1}{512}

So the exponential form is given as, 8⁻³ = $\frac{1}{512}

7 0
3 years ago
What is the solution to this system of equations?
mixas84 [53]

Answer:

(-2,4)

Step-by-step explanation:

The solution is the point at which the two lines intersect, (-2,4).  That point is the only one that satisfies (works) in both equations:

y = x + 6

4 = -2 + 6

and

y = -0.5x + 3

4 = -0.5(-2) + 3

4 = 1 + 3

====

You can also solve it algebraically:

y = x + 6

y = -0.5x + 3

-0.5x + 3 = x + 6   [Use the value of y from the second equation in the first equation]

-1.5x = 3

x = -2

Use this is y = -2 + 6:

y = 4

(-2,4)

5 0
2 years ago
Multiple choice question! Very important! Algebra!
Murljashka [212]
I think the answer is A. Or the answer is A.
Try downloading the app Socratic it like Brainly but I think it’s more helpful
5 0
2 years ago
Other questions:
  • Solve: –3x – 24 ≤ –36 what is x equal to?
    15·2 answers
  • g The tensile 0.2 percent offset yield strength of AISI 1137 cold-drawn steel bars up to 1 inch in diameter from 2 mills and 25
    8·1 answer
  • Calculate δe, if q= 0.769 kj and w= -860 j .
    13·1 answer
  • If the input is -8, what is the output?<br> the equation is : f(x) = -6x – 3
    8·2 answers
  • What is the geometric mean of 3 and 18
    5·2 answers
  • Dhjfhehrheheejrhhehehhhehrheehe
    13·1 answer
  • The graph of an exponential function is shown on the grid.
    9·1 answer
  • The soccer league has 28 teams each team has 9 players how many players are there in all
    7·2 answers
  • How do I find the value of X?? The answer choices are:
    15·1 answer
  • Pythagorean Theorem
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!