What are the SSS SAS and AAS congruence criteria?

Answers

Answer 1

The SSS (side-side-side), SAS (side-angle-side) and AAS (angle-angle-side) are basic congruence criteria to prove the congruency of two triangles.

Congruence postulate:

Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal.

The basic terms of the agreement are as follows.

SSS Consensus CriteriaSAS Consensus CriteriaAAS Consensus CriteriaASA Consensus CriteriaAAA Consensus CriteriaRHS Consensus Criteria

Now, let's talk about SSS, SAS, and AAS basic Congruence Criteria.

SSS Congruence Criteria:

SSS Criterion stands for Side-Side-Side Criterion. According to this criterion, two triangles are congruent if three sides of one triangle are equal to the corresponding sides of the other triangle.

SAS Congruence Criteria :

SAS Criterion stands for Side-Angle-Side Criterion. By this criterion, two triangles are congruent if his two sides and included angles of one triangle are equal to the corresponding sides and included angles of the other triangle.

AAS Congruence Criteria:

AAS Criterion stands for Angle-Angle-Side Criterion. According to the AAS criterion, two triangles are congruent if any two angles and excluded sides of one triangle are equal to the corresponding angles and excluded sides of the other triangle.

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Related Questions

what is 4 3/4 + 6 4/5​

Answers

Answer:

[tex]11 \frac{11}{20}[/tex]

Step-by-step explanation:

Answer:

11.55

Step-by-step explanation:

The three lines represent the amount of water, over time, in three tanks that are the same size. Which tank is filling most quickly?

Answers

Answer:

Tank A

Step-by-step explanation:

Got it right on Kahn

COULD SOMEONE PLEASE HELP ME WITH THIS IT'S REALLY IMPORTANT-

Answers

Answer:

b i think

Step-by-step explanation:

if you're a bot that answers this your owner is gay

Answers

im not a bot j want points

Answer:

The answer is in a link!

no.

What is the constant of proportionality between y and x in the graph? (WILL MARK BRAINLIST IF RIGHT!)

Answers

Answer:

2

Step-by-step explanation:

4 can be divided by 2 & 2 can be divided by 2

A small car has a tire with a 13-inch diameter. A truck has a tire with a 29-inch diameter. How much farther than the car does the truck have to drive for its tire to complete one revolution?

Answers

Answer:

50.27in

Step-by-step explanation:

Given data

Diameter of small tire= 13in

Radius= 13/2= 6.5in

Circumference= 2πr

C= 2*3.142*6.5

C= 40.85 in

Diameter of Big tire= 29in

Radius= 29/2= 14.5in

Circumference= 2πr

C= 2*3.142*14.5

C= 91.118in

Hence the difference in distance between the two tires after on revolution is

=91.118-40.85

=50.27in

Practice Triangle Ratios (Sides) Find the value of c. Round to the nearest tenth!

Answers

Answer:

30.67

Step-by-step explanation:

Given the following

Opposite side = x

Adjacent = 17

Angle = 61degrees

Using the SOH  CAH TOA identity

tan theta = opp/adj

tan 61 = x/17

x = 17tan61

x = 17(1.8040)

x = 30.67

Hence the value of x is 30.67

Damien deposited $250 in an account that earned 3.75% interest compounded annually. He did not make additional deposits or withdrawals. What will be the balance in this account at the end of 4 years? $127.26 $287.50 $289.66 $370.50

Answers

Answer:

$289.66

Step-by-step explanation:

A=P(1+r)^t

P=250

r= .0375

t= 4

A=250(1+.0375)^4

A= 289.66

$ 289.66 will be the balance at the end of the 4 years.

What is compound interest?

One of the most important ideas in finance is compound interest, which means that the interest you earn each year is added to your principal and grows at a growing rate. It serves as the foundation for everything from a personal savings strategy to long-term stock market development. It also takes into consideration the effects of inflation and the relevance of debt repayment.

Given, Damien deposited $250 in an account that earned 3.75% interest compounded yearly. Hence,

principal amount = 250

rate = 3.75%

time period = 4

From compound interest formula  (A) = [tex]P(1 + \frac{r}{n})^{nt}[/tex]

Final amount (A) =  250 ( 1 + 3.75/ 1)^4 = 289.66

Therefore Damien will have 283.66$ at the end of the four years.

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Using the graph, determine the coordinates of the vertex of the parabola

Answers

The answer is (2,-1)

please someone help me!!! I don’t really understand what the question is asking! Plz no links, we all know they don’t help. If someone answers clearly, then i’ll give the crown to that person!

Answers

Answer:

D=360  M=288 V=648

Step-by-step explanation:

okay so i’m not the best at this kind of stuff but i need to help someone to get answers

Shen invested in a savings bond for 4 years and was paid simple interest at an annual rate of 6%. The total interest that he earned was $2160. How much did he invest?

Answers

Please check the image I sent the answer is $9000

8. Evaluate the expression (ab)^2 for a = 4 and b = 3.

Answers

I believe the answer is 144. Because the exponent of 2 is on the outside of the parentheses, we multiply a and b first. 3 times 4 is 12 and 12^2 is 144

when evaluating (6.28x10^12)/(3.14x10^4)

Answers

Answer:

2×[tex]10^{8}[/tex]

or

200000000

Step-by-step explanation:

[tex]\frac{6.28*10^{12} }{3.14*10^4}[/tex]

2×[tex]10^{8}[/tex]

or

200000000

The retangular prism shows is made from cubs.Each cube is 1 cubic unit. What is the volume in cubic units

Answers

Answer:

72 square units

Step-by-step explanation:

To get these, we will use the attached diagram as a case study

Since each cube is 1cubic unit, hence the length of the side of a cube is 1unit

From the diagram

Length  = 6units

Width = 3 units

Height = 4units

Volume of the prism = Length * Width * Height

Volume of the prism = 6 * 3 * 4

Volume of the prism = 18 * 4

Volume of the prism = 72 sq.units

Hence the volume of the prism is 72 square units

The circumference of a circle is 20.724 yards. What is the circle's diameter?

Answers

Answer:

approximately 6.6 yards :)  

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

take pi as 3.14

formula for circumfurence is 2*pi*r

so 2r=20.724/pi

2r=6.6

since diameter is 2 radius, the diameter is 6.6

find the equation to the line below acellus y= HELPPP

Answers

Answer:

(5,3) and (0,-1)

Gradient,m =3-(-1)/5-0

m=4/5

y=mx+C

y-3=4/5 (x-5)

y=4x/5-4+3

y=4x/5 -1

2. Is she right or wrong? Explain. If she is wrong, tell how much carpet she needs. (
Michele is buying carpet for a room with the dimensions shown. 10 ft 8 ft 12 ft 4 ft 15 ft Michele calculates that the area she will cover with carpet is 180 square feet.​

Answers

Answer:

She is wrong. She needs 140 square feet.

Explanation:

(8×10)+(4×15) = 140

match the equations to the solutions

Answers

Answer:

A3

B4

C6

D5

E2

F7

G1

Step-by-step explanation:

I matched the letter to number :)

what percent of 19.7 is 24

Answers

Answer:

82.083333333333%

Step-by-step explanation:

You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 5 and flipping heads? Write your answer as a fraction in simplest form. The probability is .

Answers

Flipping less than 5 is a 4 out of 6 chance. Flipping heads is a 1 out of 2 chance

Hi can somebody help me, also explain what a alter interior angle is please

Answers

Answer:

a interior angle is a the angle between adjacent sides of a rectilinear figure.

it is 6

--heart if it helped you!--

Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

The money keeps on decreasing as the days go. As you can see, the dots on the scatter plot keep on getting lower and lower.

Can I get brainliest plzz?

Does anyone know what is the measure for these need help on this

Answers

4. 66
5. 48
6. 60
7. 108
8. 60

The Johnson family is taking a road trip that is 575 miles long. On the first day,
they drove 2/5 of the miles. How many miles did they travel?
Please help this is due tommorw

Answers

It would be 3.4 because it is easy and I got a good grade

When given the picture using what you know find the answer. What is m

Answers

Answer:

40 degrees

Step-by-step explanation:

Answer:

Angle E = 25 deg because of reflective

Angle C = 115 degree because 180 - 65

Since triangle = 180 deg

Angle D = 180 - 115  - 25

= 40 deg

Step-by-step explanation:

Describe the relationship between complex and real numbers. Include a
comparison between algebraic and complex arithmetic operations (addition,
subtraction, multiplication, and division).

Answers

Answer:

Complex numbers often use the letter i (that is, they often have imaginary elements) while real numbers don't have any imaginary elements. Below are some examples:

Step-by-step explanation:

1+2i is an example of a complex number.

3a - 4b is an example of a real number.

help help help help

Answers

Answer:

15π cubic units

Step-by-step explanation:

the formula for the volume of a cone is:

V = (base area x height) / 3

In this case we have

(5π x 9)/3 = 15π cubic units

Answer:

235.5 Cubic Units

Step-by-step explanation:

V=1/3B*H

=1/3(π5^2)9

=1/3(3.14*25)9

=3(3.14*25)

=75*3.14=235.5 Cubic Units

If the student is a domain/inout and the hair color is the range/output how is these two set of relation not a function?

Answers

Answer:

A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.

Such that each input can be mapped into only one output.

So for example, if we have a relation that maps the input 2 into two different values:

f(2) = 4

f(2) = 8

Then this is not a function.

In the case of the problem, we have a student as the input, and the hair color as the output.

So we will have something like:

f(student) = blond

And if this student decides to change his/her hair color to red?

Then the function becomes:

f(student) = red

So for the same input, we had two different outputs, which means that this is not a function.

We also could have the case where a given student has two colors (Californian for example)

Where again, we would see two different outputs for one single input.

Do anyone know this? Please no link <3

Answers

Answer:

40 cm

Step-by-step explanation:

Perimeter = the sum of all sides

1. Write the balanced chemical equation for the reaction you are performing.

Answers

Don’t open that link it takes lll your information

ANSWER

Mg+O---->MgO

This is the balanced chemical equation

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