What additional information do you need to prove ∆ ABC ≅ ∆ def by the ASA postulate?

Answers

Answer 1

There are some postulates, such as Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, and Angle-Angle-Side, that can be applied to demonstrate the congruence of triangles.

The Angle-Side-Angle (ASA) postulate asserts that two triangles are congruent if two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.

The basic components, primarily the three angles as well as the three sides of a triangle, must be equal to the corresponding angles and sides of the other triangle for two triangles to be congruent.

To demonstrate that the triangle ABC is congruent, we must show that two of its angles and one of its sides are congruent.

If the lengths of the matching sides and angles of two triangles match, the triangles are said to be congruent. In maths, congruence relates to the similarity of two figures in terms of their size and shape. The mirror image of one shape is the same as the other if two shapes are congruent.

To know more about congruent triangle click on below link:

https://brainly.com/question/12413243#

#SPJ4


Related Questions

Help me so I can go be lazy.

Answers

Answer:

1. D. Wiley has to defeat the Hairy Man three times to make him go away.

2. A. Wiley gets out of the tree without being hurt by the Hairy Man.

3. The antagonist in the story "Wiley, His Mother, and the Hairy Man" is:

“Mama is the antagonist because she finally wins the fight against the Hairy Man”.

4. The antagonist in the story "Wiley, His Mother, and the Hairy Man" is:

“Mama is the antagonist because she finally wins the fight against the Hairy Man”.

5. The most important lesson Wiley learns in "Wiley, His Mother, and the Hairy Man" is, 'It is better to be a clever person than a strong one.' Option C.

6. They confront the that their partner/friend giles corey died becasue he was phused over to confessed to witchcraft.

Step-by-step explanation:

1. "Wiley, His Mother, and the Hairy Man" is a musical play that has it depends on an oral established story of the South of the United States.

Wiley is the hero of the play as he is the character that endures the principle struggle, against his adversary the Hairy Man, and furthermore on the grounds that the play is centered around his contention as well as on Wiley's association with his mother.

3. An antagonist is a person who goes against the main force and changes it over a course of time.

In the mentioned story, it is Wiley’s Mama who keeps telling him how to keep changing the hairy man into various forms and then finally wins at her own game.

4. An antagonist is a person who goes against the main force and changes it over a course of time.

In the mentioned story, it is Wiley’s Mama who keeps telling him how to keep changing the hairy man into various forms and then finally wins at her own game.

5. "Wiley, His Mother, and the Hairy Man" is a short story for children with a beautiful message. The story depicts how Wiley deals with a Hairy man who was quite dangerous to be handled alone and who used to steal baby. One day it so happens that, when Hairy man was about to steal a baby, Wiley changed that baby for a pig, thus defeating the Hairy man.

This way Wiley learned a lesson that its always better to be a clever person than a strong one. Wiley's smartness helped him to save the life of a baby.

6. I just learned that last week

Is 4y+4 equivalent to 2y+2

Answers

Answer:

no

Step-by-step explanation:

[tex]4y + 4 = 4 (y + 1)[/tex]

[tex]2y+2 = 2 (y + 1 )[/tex]

PLEASE HELPPP ASAP NO LINKS AND IF YOU DON'T KNOW< DONT ANSWER
IGNORE MY OTHER QUESTION, I PUT IN THE WRONG NUMBERS

1. A rectangular inflatable swimming pool is 2 4/5 yards long, 2 yards wide, and 3/5 yard tall. What is the volume of the pool? Round to the nearest tenth.

A. 3.4 yd3
C. 17.0 yd3
B. 5.4 yd3
D. 22.0 yd3

Answers

Answer:

Here is the the real answer

3.4 yd3

Writing the Standard Form of a Line
Try it
Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point
slope form is y + 1 = 2/3 (x – 8).
____x + ____y = ____

Answers

Answer:

[tex]2x-3y = 19[/tex]

Step-by-step explanation:

In standard form, represented by the formula [tex]Ax+By=C[/tex], all the constants and coefficients of the terms are integers, the terms have no common factors (besides 1), and the number in place of A is positive. Knowing this, convert the equation to standard form like so:

[tex]y+1=\frac{2}{3} (x-8)\\y+1 = \frac{2}{3} x-\frac{16}{3} \\-\frac{2}{3} x+y+1 = -\frac{16}{3} \\-\frac{2}{3}x+y = -\frac{16}{3} -1\\-\frac{2}{3} x+y = -\frac{16}{3} -\frac{3}{3} \\-\frac{2}{3} x+y = -\frac{19}{3} \\2x-3y = 19[/tex]

28% of the fish in a pond are sunfish. If there are 150 fish in the pond, how many are sunfish

Answers

Answer:

The answer would be 42 .

Step-by-step explanation:

Good luck ^.^

find the value of y.

Answers

76! its because its a vertical to the other 76

(7a-1)^2 please help me quickly

Answers

Answer:

14a-2

Step-by-step explanation:

How many times bigger is 3,136 than 972 in percentage form

Answers

Answer:

30.99

Step-by-step explanation:

HELP ASAPPPP!!! Question in pic. Find the value of x

Answers

Answer:

x = 14

Step-by-step explanation:

30 = 3x - 12 (vertically opp)

30 + 12 = 3x

42 = 3x

42÷3 = x

14 = x

Help me I’ll mark brainliest!!!!!!!

Answers

Answer:

1 first you would find the volume of the pryimid which is-

27in²

2 then you'd find the volume of the rectangular prism which is-

108in²

3 then you add the two together-

27in² + 108in² = 135in²

brainliest ;)

HELP DUE IN 15 MINS!
Solve for x in the parallelogram below:

X=??

Answers

Answer:

x = 4

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180°, so

14x + 6 + 118 = 180

14x + 124 = 180 ( subtract 124 from both sides )

14x = 56 ( divide both sides by 14 )

x = 4

Answer:

x = 4

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary

14x + 6 + 118 = 18014x + 124 = 18014x = 180 - 12414x = 56x = 56/4x = 4

Please help me on the questions attached

Answers

Answer:

There are no questions attached.

Step-by-step explanation:

Classify each triangle by its side lengths and angle measurements. Choose the two correct names

Answers

Answer:

isosceles

Step-by-step explanation:

An Isosceles triangle that has two sides of equal length.

Answer:

It is equilateral and acute

Equilateral because it has all sides equal

And

Acute because it has all angle inside 90 degree

Find the output, kkk, when the input, xxx, is -5−5minus, 5.
k = 6x + 100k=6x+100k, equals, 6, x, plus, 100
k=

Answers

Answer:

70

Step-by-step explanation:

Answer:

k=70

Step-by-step explanation:

x=-5

k=6x+100

6X-5=-30

k=-30+100

100-30=100+-30=70

k=70

Also I did it on Khan :)

Need ASAP will give brainliest!

Answers

Answer:

x=4 and y=3

Step-by-step explanation:

Ah Algebra...

2x-3y=-1

y=x-1

Let's solve your system by substitution.

2x−3y=−1; y=x−1

Rewrite equations:

y=x−1;2x−3y=−1

Step: Solve

y= x−1

Step: Substitute x−1 for y in 2x−3y=−1:

2x−3y=−1

2x−3(x−1)=−1

−x+3=−1(Simplify both sides of the equation)

−x+3+−3=−1+−3(Add -3 to both sides)

−x=−4−x−1=−4−1

(Divide both sides by -1)

x=4

Step: Substitute4forxiny=x−1:

y=x−1

y=4−1

y=3(Simplify both sides of the equation)

Answer:

x=4 and y=3

Hope this helps :)

Stay Cold,

Brook

Answer:

(4,3)

Step-by-step explanation:

Being that the y variable is isolated in the second equation, the other side of that equation can be substituted for y in the first equation.

[tex]2x - 3(x - 1) = - 1[/tex]

Now simplify for x.

[tex]2x - 3x + 3 = - 1 \\ - x = - 4 \\ x = 4[/tex]

Now with that, insert the x value in for x in the second equation.

[tex]y = (4) - 1 \\ y = 3[/tex]

Now the correct answer is (4,3)

What is this transformation?
(x, y) ----> (-x, y)
Reflect over the x
axis
slide left 1
Slide down
Reflect over the y-
axis

Answers

Answer:

Reflection over the y-axis

Step-by-step explanation:

Natalie invests $5,632 in a retirement account with a fixed annual interest rate of 2% compounded 12 times per year. What will the account balance be after 16 years?

A) $8,398.46

C) $7,753.92

B) $8,610.85

D) $7,910.43

Answers

Answer:

C) $7,753.92

Step-by-step explanation:

Given data

Principal= $5,632

Rate=2%

n= 12

Time = 16 years

The expression for compound interest is

A=P(1+r/n)^nt

substitute

A= 5632(1+0.02/12)^12*16

A=5632(1+0.02/12)^12*16

A= 5632(1+0.00166)^12*16

A= 5632(1.00166)^12*16

A= 5632(1.00166)^192

A=5632*1.375

A=$7744

Hence the approximate amount is C) $7,753.92

If correct I’ll give brainlist

Answers

Answer:

4/-2 = -2/1 = -2

y = -2x - 16

HELP ASAP!!!!! 25 POINTS + BRAINLIEST!!!!!!!

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

HEY BESTIES WHATS POPPIN IM BACK AND READY FOR ACTION PLZ HELP

Answers

Answer:

A.

Step-by-step explanation:

The slope increases from left to right.

Answer: Positive Slope

Step-by-step explanation:

If it’s from left to right in an upwards direction, it’s positive, if it’s left to right in a downwards directio, it’s negative

HELP

I need to find the nearest tenths in these 6 questions and I don’t really know how, and can you also explain how you did or what you multiply.

Answers

Answer:

5. 50.3 m²

6. 113.1 cm²

7. 102.1 yards²

8.  50.3 yards²

9.  452.2 ft²

10.379.8 ft²

Step-by-step explanation:

Area of  a circle = nr²

The circumference of a circle = 2nr

n = pi = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = diameter / 2

5. (22/7) x 4² = 50.3 m²

6.  (22/7) x 6² =113.1 cm²

7. radius = 11.4/2 = 5.7 yards

(22/7) x 5.7² =102.1 yards²

8. radius = 8/2 = 4 yards

(22/7) x 4² = 50.3 yards²

9. 2nr = 75.4 yards

2 x (22/7) x r = 75.4

to find r, divide both sides of the equation by 2 and 7/22

r = 12 ft

Area =  (22/7) x 12² = 452.2 ft²

10. 2nr = 69.1 yards

2 x (22/7) x r = 69.1

to find r, divide both sides of the equation by 2 and 7/22

r = 10.99 ft²

Area = (22/7) x 10.99² = 379.8 ft²

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 28^\circ28 ∘ 28, degrees. What is the measure of \angle b∠bangle, b?

Answers

Answer:

62 degrees

Step-by-step explanation:

If two angles are complementary, it means that their sum is 90degrees

Hence if m<a and m<b are complementary, then;

m<a + m<b = 90

Given

m<a = 28degrees

Required

m<b

Substitute into the formula as shown;

28 + m<b = 90

m<b = 90 - 28

m<b = 62degrees

Hence the measure of angle b is 62 degrees

Answer:

Angle B: 62

Step-by-step explanation:

90 degrees minus angle a, (28 degrees) to get 62 degrees.

A trapezoid has a height of 6 inches, an area of 120 inches, and one base measuring 14 inches. Find the length of the other base

Answers

Answer:

26 inches

Step-by-step explanation:

Area of a trapezoid = [tex]\frac{1}{2}[/tex](a + b) x h

a and b = 2 parallel sides

h = height

120 = 0.5(14 + b) x 6

120 = 3 x (14 +b)

Divide both sides of the equation by 3

120/3 = 14 + b

40 = 14 + b

Collect like terms

b = 40 - 14 = 26inches

If you know the whole sheet that would be best!!!!!

Answers

Answer:

Step-by-step explanation:

Mskwosjdbeiecdbf

I’m not sure if this is right but I believe the first one is 307.72

8. Coffee Country City Council has decided to build a new road to connect Main Street
and Lincoln Lane (see the drawing). If construction costs $25,000 per mile, how much
will it cost?
Main Stream
3 mil
Lincoln Ln
1.5 miles-
NEW ROAD

Answers

Answer:

easy just pull put calculator and add 25,000 with  3 mil

Step-by-step explanation:

Answer:

Cost 64951.91

Step-by-step explanation:

We are to assume that the new road and Lincoln Lane meat at right angles. If that is true we can use the Pythagorean Theorem.

Givens

a = 1.5 miles

b = ?

c = 3 miles

Cost per mile = 25000

Solution

a^2 + b^2 = c^2

1.5^2 + b^2 = 3^2

2.25 + b^2 = 9

b^2 = 9 - 2.25

b^2 = 6.75

sqrt(b^2) = sqrt(6.75)

b = 2.5981

Cost

1 mile costs 25000

2.5981 costs x

1/2.5981 = 25000 / x                 Cross Multiply

x = 2.5981 * 25000

x = 64951.91

Solve the triangle round al answers to 1 decimal
b = 6, A = 20°; - I just need Help finding a and c

Answers

Step-by-step explanation:

tan 20 = a/6

a = 6 tan 20 = 2.18 = 2.2

c = √(36+4.84)

c = √ 40.84

c = 6.38 = 6.4

Canidate B recieved 5 times as many votes as Canidate A. The ratio of votes for Candidate B to votes for Canidate A is?

Answers

Answer:

The ratio of votes is 5:1

Step-by-step explanation:

Here, we want to find the ratio of votes

From the question, candidate B received 5 times of what candidate A received

so lest day candidate B received 25, candidate A will receive 5

So the ratio of votes for B to A will be ;

25 : 5

To the smallest term, this is 5:1

Please someone help me... I have my state test tomorrow and I don't know how to do this.

Answers

Answer: 3.8

Step-by-step explanation:

First, solve 9.30 x 10^7 to find the length of an astronomical unit.

10^7 = 10000000

9.30x10000000=93000000 miles

next, solve for the distances the sun is from Jupiter and Mars,

10^8 = 100000000

1.42x100000000=142000000 miles

4.84x100000000=484000000 miles

next, subtract the distances

484000000-142000000=342000000 miles

then, divide the sum by 93000000 to find the amount in astronomical units.

342000000/93000000=3.677419

finally, round to the nearest hundred

3.68

Please help!! Explanation and answer please (:

Answers

Answer:

You can draw a model for your teacher if your teacher approves

Step-by-step explanation:

Try drawing a model

en la huerta de Rosio,las tres cuartas partes estan sembradas de papas y un quinto esta sembrado de zanahorias.si el resto no esta sembrado,¿que fraccion de la huerta falta por sembrar?​

Answers

Answer:

you did this to me too lol

Step-by-step explanation:

jjdfksljdkfj JFKLJSDK djfa

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