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
DiKsa [7]
3 years ago
5

Which theorem(s) can you use to prove that the two triangles are congruent?

Mathematics
1 answer:
kolezko [41]3 years ago
4 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:

<u>SAS (Side-Angle-Side):</u> 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.

<u>ASA (Angle-Side-Angle):</u> This postulate states that if two triangles have two corresponding angles congruent and one corresponding side congruent, then those triangles are congruent.

<u>SSS (Side-Side-Side): </u>This postulate states that if two triangles have all three corresponding sides congruent, then triangles are congruent.

<u>AAS (Angle-Angle-Side):</u> If two pairs of corresponding angles are congruent and one pair of corresponding sides is congruent, then both triangle are congruent each other.

<u>HL (Hypothenuse-Leg):</u> 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
PLEASE HELP!<br><br> Reduce to simplest form.<br> 5/8 - (- 7/2)
Daniel [21]

Answer:

\huge\boxed{\sf 4\frac{1}{8} }

Step-by-step explanation:

\sf =\frac{5}{8} - (-\frac{7}{2} )\\\\Rule : ( - *- = +)\\\\\=\frac{5}{8} +\frac{7}{2} \\\\LCM = 8\\\\\=\frac{5+28}{8} \\\\\=\frac{33}{8} \\\\=4\frac{1}{8}

\sf =\frac{5}{8}+ \frac{7}{2}  \\\\=\frac{5+28}{8}

\sf =\frac{33}{8} \\\\=4\frac{1}{8}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
7 0
3 years ago
What is the inequality that would represent: The sum of two numbers is<br> less than 4?*
MArishka [77]

Answer:

x+y<4

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which shape has a line of symmetry that can be drawn through the figure?
zimovet [89]

Answer: Option D.

Step-by-step explanation:

A figure has a line of symmetry if we can draw a line through the figure, in such way that the line cuts the figure in exactly two equal halves.

Then any figure that can be cutin exactly two halves, is a correct answer to this question.

Then:

For a circle, the line of symmetry is the diameter of the circle.

For the square, the line of symmetry can be obtained by cutting the square with a line that is perpendicular to one of the sides, and cuts that side exactly on the midpoint.

For an equilateral triangle, the line of symmetry is the line that cuts any base in the midpoint and also passes through the opposite vertex.

Then all the figures are correct options, then the correct option is D

7 0
3 years ago
Line m passes through points (-20, 5) and (-4,7). Line n passes through points (-5,5) and (7,4). Are lines m and n perpendicular
LuckyWell [14K]

Answer:b

Step-by-step explanation: it’s right because it is

5 0
3 years ago
42 gal is how many Liters
Yuki888 [10]

Answer:158.99

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the LCM of the set of numbers 5 10 15 DUE TODAY
    9·2 answers
  • What is the equation of the polynomial function?
    12·1 answer
  • Can someone help me please
    11·1 answer
  • Please Help Me I'll Mark Brainliest and give extra points!!!!!
    6·1 answer
  • What are the factors of 5
    14·2 answers
  • Solve the following equation:<br> 2/3 - 1/x = 13/15
    7·2 answers
  • Given the a^b=x, evaluate the following. <br><br> a^b+2
    6·1 answer
  • The trams operate using an overhead cable which supplies a high-voltage electric current to the tram. Explain how the electric e
    6·1 answer
  • Please Help Me!!!!!!!!!!!!!!!​
    15·2 answers
  • Can someone answer this
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!