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
The attachment is above
Alenkasestr [34]

Answer:21

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The rectangular screen of a high-definition television set is 71 cm wide and 40 cm high. What is it’s area
ExtremeBDS [4]

A=lw=71\times 40=2840 \: {cm}^{2}

5 0
2 years ago
Read 2 more answers
Write each fraction or mixed number as a number as a decimal 2 3/8
weeeeeb [17]

Answer:

\tt2.375

Step-by-step explanation:

\tt = 2 \frac{3}{8}

\tt =  \frac{8 \times 2 + 3}{8}

\tt =  \frac{19}{8}

\tt = 19 \div 8

\tt = 2.375

3 0
2 years ago
Marta is making two different charms for necklace one charm has a 1 cm diameter and a 3.14 centimeter circumference A similar ch
dlinn [17]
Both charms are "similar".

And notice one diameter is 1, the other is 4, the diameters are on a ratio of 1:4 then, and so both figures are on a ratio of 1:4.

so, if another unit, like the circumference is at 3.14 on the small one, then the large one will have a circumference 4 times that much, because the circumferences are also on a 1:4 ratio.
4 0
3 years ago
In the circle below, suppose m WXU<br> 216° and m XWV= 137º. Find the following.
sladkih [1.3K]

Answer:

incompleted question

Step-by-step explanation:

......?

8 0
2 years ago
Other questions:
  • Three friends each have some ribbon carol has 90 inches of ribbon Toni has 10.5 feet of ribbon and Baxter has 2.5 yards of ribbo
    5·1 answer
  • Write an equation of the line in point slope form: A line that passes through (4,-5) with a slope of -6 (Show Work)
    15·1 answer
  • Find x and find the measure of the missing angle
    13·1 answer
  • If n is a positive integer, which of following statement is individually sufficient to prove whether 289 is a factor of n?a. The
    13·1 answer
  • The given series has six terms. what is the sum of the terms of the series? 10 + 25 + 40 + . . . + 85
    8·2 answers
  • The Galapagos islands are 650 miles west of Ecuador. If there are 1.60934 kilometers in a mile, how many kilometers in a mile, h
    9·1 answer
  • If one line has a slope of -2/5 what would be the slope<br> of a line perpendicular to that line?
    12·1 answer
  • Mario spent $5.86 for a drink and a sandwich. His drink cost $1.34. How much did Mario spend on the sandwich. Create and solve a
    5·2 answers
  • I need the x and y value<br><br><br> I did it and I got 26 got both, but I’m not sure.
    15·2 answers
  • What is f(x) in the expression?​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!