help please!

Does mapping the triangle DEF onto triangle GHI prove the two triangles are congruent? Explain your reasoning.

Help Please! Does Mapping The Triangle DEF Onto Triangle GHI Prove The Two Triangles Are Congruent? Explain

Answers

Answer 1

Yes, and there are actually several methods to do so. One method to ensure congruency is to rotate and translate the triangle onto the other, which does not change the shape or size, only where it is. They perfectly match each other when rotated and translated, showing perfect congruency. Another way to ensure congruency is to find angle lengths/slope. Using the slope formula (rise/run), we can find both slopes (whch is the distance in this case) of each side length of both triangles. The angle lengths and slopes are equal to each other.

Answer 2

Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency.

What is congruence?

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides.

As per the given graph,

Triangle GHI and triangle DEF are plotted.

If we map triangle DEF onto GHI since the length is the same and orientation will become the same so both triangles will coincide with each other.

And it is known that if the length of all sides of a triangle is the same then they will be called a congruent triangle.

Hence"Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency".

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Related Questions

Can someone please help me with solving this maths question?

Answers

Answer:

CD = 7

Step-by-step explanation:

Given that the triangles are congruent, then corresponding sides are congruent, that is

CD = AB , substitute values

3y + 1 = 15 - 4y ( add 4y to both sides )

7y + 1 = 15 ( subtract 1 from both sides )

7y = 14 ( divide both sides by 7 )

y = 2

Thus

CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7

On a coordinate plane, how are the locations of the points (1 , -7) and (1 , 7) related?

A.
reflection across the y-axis
B.
reflection across both axes
C.
locations unrelated
D.
reflection across the x-axis
HELP PLS
BRAINLIST

Answers

Answer:

D. Reflection across x-axis

Step-by-step explanation:

When plotting the two points & then connecting the dots, it will not touch y-axis at all - it will be straight line and cross x axis

The equations shown represent two altitudes of a triangle. y = x+1 and y = −2x−1 What are the coordinates of the orthocenter of the triangle?

Answers

Answer:

The coordinates of the orthocenter of the triangle is;

(-2/3,1/3)

Step-by-step explanation:

To find the coordinates of the orthocenter, all we have to do is solve for x and y of the given altitudes

We can get this by solving both equations simultaneously

Simply equate the two y’s

x + 1 = -2x-1

x + 2x = -1-1

3x = -2

x = -2/3

To get y, simply substitute into any of the equation, the value of x

y = -2/3 + 1

y = 1/3

Bob’s monthly phone bill is made up of a $10 fee plus $0.05 per minute. Bob’s phone bill for July was $22. Write an equation to model the situation using m to represent the number of minutes. Solve the equation to determine the number of phone minutes Bob used in July.

Answers

Answer:

equation: 10 + 0.05x=22

Step-by-step explanation:

the next step after writing the equation would be to subtract 10 from both sides to get 0.05x=12. after this you would then have to divide 12 by 0.05 to get 240 minutes. you could check it by putting 240 in for x to get 10+0.05(240)=22. you would then multiply 0.05 by 240 to get 12 and then add 10 onto it to get 22 which was already given.

9514 1404 393

Answer:

  equation: 10 +0.05m = 22

  solution: Bob used 240 minutes in July

Step-by-step explanation:

Bob's bill is the total of the fixed fee and the charges based on minutes. The latter is 0.05m, where m is the number of minutes. Hence, Bob's July bill is ...

 10 + 0.05m = 22 . . . . . total of charges for July is $22

__

The equation is solved by subtracting the constant and dividing by the coefficient of m.

  0.05m = 12 . . . . . subtract 10

  m = 12/0.05 = 240

Bob used 240 minutes in July.

if x Multiplied by 7 = 21, what is x

Answers

Step-by-step explanation:

Given that x is multiplied by 7 = 21 Then

7 * x = 21

or x = 21/ 7

Therefore x = 3.

Answer:

Solution,

here,

x+7=21

x=21-7

Therefore,x=14

A light bulb consumes 1800 watt-hours per day. How long does it take to consume 6750 watt-hours?

Answers

Answer:

I LOST ALL MY POINTS NOOOOOO

Can someone help me with this

Answers

Answer:

x=125°

Step-by-step explanation:

180-(25+30)= 125°

hope it helps!

Can someone help me ??

Answers

Answer:

(-5,2)

Step-by-step explanation:

i think the picture isn't that good

Answer:

I believe it is [tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

Hope this helps!

What is an equation of the line that passes through the point (-3,1) and is parallel to the line 4x + 3y = 15?​

Answers

Answer:

y=-4/3x-3

Step-by-step explanation:

The equation of the line that passes through the given point will be equal to (-4/3)x - 3.

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given information in the question,

The given equation is,

4x + 3y = 15

And the point is (-3, 1)

3y = 15 - 4x

y = (-4/3)x + 15

The line has a slope, of -4/3.

Then, use the equation,

B = y - mx

B = 1 - (-4/3 × 3)

B = -3

So,

y = (-4/3)x - 3

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round 0.927 to the nearest hundreth

Answers

The answer should be 0.93 :))))))))) sorry if it’s not :(

I beg you to help me .

Answers

Answer:

16+3=y

y=19

Step-by-step explanation:

Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 6 meters. They already have 10 meters of fencing. How many more meters of fencing should they buy? Choose 1 answer:

Answers

Answer:

14 meters

Step-by-step explanation:

Each side of the square fence = 6 meters

Perimeter of the square fence = 4 × length

= 4 × 6

= 24 meters

They already have 10 meters of fencing

How many more meters of fencing should they buy?

= Total meters - available meters

= 24 meters - 10 meters

= 14 meters

PLS HELP ME PLS whats 2x6x8 (5/8)

Answers

Answer:

96 5/8?????

if its wrong i sorryyy

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

If you mean multiplying them all, then:

2x6x8=96

5/8=0.625

0.625x96=60

yay its 60

Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67

Answers

Answer: The point (5,7) is on the line 5x+6y = 67

=====================================================

Explanation:

(5,7) means x = 5 and y = 7 pair up

Plug in those values to get...

5x + 6y = 67

5*5 + 6*7 = 67

25 + 42 = 67

67 = 67

We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).

Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.

Each week, high school students can collect a maximum of 347 cans of food for the town food pantry. What is the maximum number of cans that the high school students can collect in 35 weeks?
10,410 cans
10,415 cans
12,145 cans
12,245 cans

Answers

Answer:

12,145

Step-by-step explanation:

If 347 cans is the max PER week, and they have 35 weeks, then all we need to do is multiply 347 times 35.

347*35 = 12,145

The max amount of cans they can collect in 35 weeks is 12,145 cans.

Answer: 12,145

Step-by-step explanation:

A business trip will be reimbursed $0.55 per mile. Mr. Jackson has a budget of $70 for the round trip. If he is traveling to a town 61 miles away, then will he be under or over? Prove your thinking.

Answers

Answer:

We know Mr. Jackson will have to pay 0.55 dollars per mile and that he's traveling 61 miles, so, if we want to know. how much will he pay, we can multiply the quantity of miles (61) per the cost of these:

0.55 * 61 = 33.55

So we know he will have to pay 33.55 dollars, and, as the travel is round, considering he will travell the same quantity of miles, he will pay twice

33.55 * 2 = $67.10

He has more budget than the needed for the travel

Answer:

Mr. Jackson will be under his budget.

Step-by-step explanation:

We know that Mr. Jackson has a budget of only $70 for the trip. We know that the trip will be reimbursed $0.55 per mile. Mr. Jackson is traveling 61 miles. Therefore, we need to multiply $0.55 by 61.

61 x 0.55 = $35.55

Since $35.55 is less than $70, he will be under his budget.

Hope this helps! :D

i need help!!! will mark brainlist

Alyssa, a grade eight student, was looking through the school newsletter when she saw an ad placed by a local farmer looking for students to pick strawberries. The farmer has offered to pay the students $15.00 for the day plus $3.00 for each quart basket of strawberries they pick. Alyssa decides she wants to earn some extra money and goes out to the farm for one day to pick some strawberries.


For every quart she picks, she adds $ _____

to her total earnings for the day.


How much does Alyssa earn if she picks 0 quarts of strawberries?

$ ____

Answers

Answer:

1. She gets $3 per quart she picks.

2. If she picks 0 quartz she will get $15 which is the amount the farmer pays for the day without the bonus money for picking strawberries.

I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form

Answers

Answer:

y=-4x+2

hope this helped

Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the 12-foot fence into the court. The height of the ball, h, and time t seconds is given by the equations h(t) = -16t^2 + 18t +5. Will she make it iver the fence?

Answers

Answer:

Natalie cannot make it over the fence.

Step-by-step explanation:

After reading the statement, we must demostrate if the following inequation is possible, that is:

[tex]-16\cdot t^{2}+18\cdot t+5 \ge 12[/tex]

After some algebraic handling we find this equivalent expression:

[tex]16\cdot t^{2}-18\cdot t +7\le 0[/tex] (1)

The polynomial is factorized by the Quadratic Formula:

[tex]\left(t-0.563-i\,0.348)\cdot (t-0.563+i\,0.348)\le 0[/tex]

Since all roots are complex, we conclude that Natalie cannot make it over the fence.

A man that is 6 feet tall and casts a 4 foot shadow is standing next to a flagpole. The
flagpole casts a shadow of 10 feet. How tall is the flagpole?
a15ft
b60ft
c24ft
d40ft

Answers

Answer:  

IM JUNNA HAFT TO SAY IS 60

Step-by-step explanation:

help help help!!!!!!!

Answers

Answer:

the 3 dot AC, BC, BA

Step-by-step explanation:

Answer:

Answer answer answer

Step-by-step explanation:

Cody's school is selling tickets to a play. On the first day of ticket sales the school sold 2 adult tickets and 5 child tickets for a total of $38. The school took in $34 on the second day by selling 2 adult tickets and 4 child tickets. What is the price each of one adult ticket and one child ticket?

Answers

Answer:

do you still need the answer or no?

t/2 = 9? i need help

Answers

Answer:

18/2 =9

Step-by-step explanation:

T=18, look at the attachment for work

What is the domain of a cube root function?
A. all integers
B. all positive numbers
C. all real numbers
D. all negative numbers​

Answers

Answer:

C. All real numbers

Step-by-step explanation:

through: (1, 2), slope = 2

Answers

Answer:

y=2x+2

Step-by-step explanation:

Answer: y = 2x

Step-by-step explanation:

y=mx+b

m is the slope. so if the slope is 2 we can fill in 2 for m.

y = 2x + b

now we are going to plug in the point they gave us (1, 2) to find b.

1 is the x coordinate of the point and 2 is the y coordinate. so we put 1 in for x and 2 in for y.

2 = 2(1) + b

2 = 2 + b

b = 0

so our equation is y = 2x + 0, or y = 2x

Please HELP
Which statement is true ??

Answers

D. angle A and B are the same angle

Answer:

the answer is d(<a=<b)

Step-by-step explanation:

because alternate interior angles are equal

Geometry...Please help as soon as possible please and Thank you!!!

Answers

Answer:

I answered the question according to "ASA" Angle, side, angle

.....

Step-by-step explanation:

Note : I'm not a teacher but I'm quite sure about my answer...

Anyway...

If I'm wrong just tell me...

.....

GOOD LUCK... ❤️

what are ratios that are equivalent to 16:12

Answers

Answer:

20:15, 24:18, 28:21, etc.

Step-by-step explanation:

Just divide 16 by 12 to get 4/3. Then whatever you multiply to 4, multiply to 3, and get more answers.

Answer:

4:3, 8:6, 12:9, 20:15, 24:18, 28:21, 32:24, 36:27, 40:30 and so on.

Step-by-step explanation:

The denominators are all multiples of 3 and the numerators are multiples of 4.

Alan wants 42 pieces of sweet potato pie for his thanksgiving family dinner. Each pie has 8 slices. How many pies does he need to buy?

Answers

Step-by-step explanation:

6 pies. Your buy 5 pies and have 40 slices. So then you buy 1 more pie

✨✨Hope it helps✨✨

✨Brainliest?✨

2p + 3w = 7.25 whats p

Answers

Answer 3.625-3/2

Explanation
2p+3w=7.25
2p=7.25-3w
(Divide both sides of the equation by 2)
P=3.625-3/2w
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