If a line ⎯⎯⎯⎯⎯⎯⎯⎯ is translated in a plane to form →′′, what is true about → and →′′?

AA’ = BB’

AA = BB

AB = BB

A’A’ = B’B’

Answers

Answer 1

Answer:

AA’ = BB’

Step-by-step explanation:

Suppose that we have a point (x, y), and we apply a transformation that translates this point in a given direction, let's suppose that we translate n units in the horizontal axis, and m units in the vertical axis.

Then the new coordinates of the point will be (x+ n, x + m)

Notice that for any point (x, y) the distance between the original point and the translated point (x + n, x + m) is always the same.

D = √( (x - (x + n))^2 + (y - (y + m))^2)

D = √ ( n^2 + m^2)

Here you can see that there is no dependence with the original coordinates of the point.

So if we have a line and we translate it with a translation like the one defined above, the distance between all the points in the original line and the corresponding point in the translated line is always the same.

Then if we have the point A, and after the translation, it becomes A', the length of the segment AA' is equal as the distance between A and A'.

And exactly the same happens for B and B'.

Then if the distance between A and A', is the same as the distance between B and B', then:

AA' = BB'

Answer 2

Answer:

AA’ = BB’

Step-by-step explanation:

A transformation produces a mapping of points whose distances are congruent.


Related Questions

Find the measure of the missing angle
60°
90°
65°
25°

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Where is the picture?? We can’t help if there is no other part

Help pls shejsbsjsjshsjsvshzhabjs

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I think it’s 1. If wrong sorry

Answer:

The answer is for the first one it is 372, for the second one it is 3280

Step-by-step explanation:

Multiply the numbers not using calculator, but by hand and figure out where the number goes.

How many TRIANGLES can you find?

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I found 12 triangles

Find the slope and y-intercept from the following graph of a linear equation

Answers

Answer:

y=4x+3

Step-by-step explanation:

y=mx+b

m-slope

b-y-intercept

slope is 4/1  rise 4 ,run 1

m=4/1=4

y-intercept is 3

Answer:

Slope = 4

y-intercept = 3

Step-by-step explanation:

1. Find the slope

The slope of the line is the change in the line, it is also known as the [tex]\frac{rise}{run}[/tex]. It can be found by using the formula; [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. On the graph, one can see that points ( -1, -1 ) and ( -2, -5 ). Substitute these into the formula and solve for the slope;

[tex]=\frac{y_2 - y_1}{x_2 - x_1}\\\\=\frac{(-5) - (-1)}{(-2) - (-1)}\\\\=\frac{-5 + 1}{-2 + 1}\\\\=\frac{-4}{-1}\\\\= 4[/tex]

The slope of the given line is 4

2. Find the y-intercept

The y-intercept is where the graph of the line intersects the y-axis. In this case, this point is visible, the point at which the graph intersects the y-axis is (0, 3). The y-intercept is the y-coordinate of this point, in other words (3).

50 to 75 percent increase?how do i solve this?

Answers

A change from 50 to 75 represents a positive change (increase) of 50%

75 - 50
|50|
× 100% =
25
50
× 100 = 50% (increase)

jesse has 3 more than twice the number of video games than his brother has. which expression could be used to represent this amount?

Answers

3 plus 2x. you add three to the amount of brother man times 2

Oliver is working with square tiles that are 3/4 inch on each side. What is the area of each tile?

Answers

Answer:

the area should be 3/4

Step-by-step explanation:

Li is comparing 43.94 and 43.52. Which place value should she use to compare the two numbers?
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hundredths
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ones

Answers

Li should use the tenths place as this is the most specific value supplied that still offers a difference in values.

The diagram represents a dilation with a center at P. If the scale factor of e dilation is K, which statement about the diagram is true?

Answers

Answer:

C is correct. If the scale factor is greater than 1, the image is an enlargement. The segment UT could be an enlargement of the segment ST.

Step-by-step explanation:

A. If > 1, then the image of could be .  

B. If 0 < < 1, then the image of could be . ( If the scale factor is between 0 and 1, the image is a reduction )

C. If > 1, then the image of could be .

D.If = 2, then the image of is itself.

A is not correct.  If the scale factor is between 0 and 1, the image is a reduction.

B is not correct.  If the scale factor is between 0 and 1, the image is a reduction.

C is correct.  If the scale factor is greater than 1, the image is an enlargement.

D is not correct.  If the scale factor is 1, the figure and the image are congruent.

The dilation factor for triangle PST (K₁) is less than that of triangle PUV (K₂).

What is scale factor? How it is used in Dilating sides?Scale factor tells us by how much one quantity is greater than the other. It is denoted by K. Mathematically → K = a/b.Rewriting, we get → a = Kb.If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka].

Given is a diagram that represents a dilation with a center at {P}. The scale factor of the dilation is {K}.

The dilation factor for triangle PST (K₁) is less than that of triangle PUV (K₂).

Therefore, the dilation factor for triangle PST (K₁) is less than that of triangle PUV (K₂).

To solve more questions on dilation, visit the link below-

brainly.com/question/13439872

#SPJ5

Corresponding Angles are congruent.
Which angle corresponds with <3?
41 A2
43 44
ܝܝ 2
«[?]
428
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Answers

Answer:

Angle 5

Step-by-step explanation:

angle 5 corresponds with angle 3 i believe

Colton has $2400 in his savings account. It earns 3.5% interest each month. How much money does Colton have in his bank account after one month?​

Answers

Answer:

$2407

Step-by-step explanation:

Solve using substitution
y = 5x– 1
y = 3 + 5

Answers

Answer:

(9/5, 8)

Step-by-step explanation:

y = 3 + 5

y=8

y = 5x– 1

8=5x– 1

9=5x

x=9/5

(9/5, 8)

x=9/5 y=8

Explanation in photo:

Tammy Ray purchases 20 file cabinets for $986.99. What is
the price per cabinet?

Answers

Answer:

49.34

Step-by-step explanation:

986.99/20=49.3485

Divide 986.99 by 20 which gets you 49.3485 then just around up the 10.

Hope this helps! Have a great day. Remember your amazing and you got this! Alycia <3

49.35 that is what I got

Write the equation of a line given its slope, m = 6 and its y-intercept, b = -5

Answers

y = 6x - 5. 6x or 6/1x is the slope. -5 is the y intercept

Avery paid a $5.00 entrance fee to the carnival
and $3.00 for 6 tickets. How many total tickets
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let’s start off by subtracting 5 from 10 leaving 5 dollars

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Answers

Answer:

$2.20 per kg

Step-by-step explanation:

divide 6.60 by 3 to get the answer

Answer:

$2.20

Step-by-step explanation:

Take the price and divide it by the amount.

6.60/3 = 2.2

Therefore, the unit price is $2.20 per kilogram.

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Answer correctly pls. I will give brainliest.

Answers

Answer:

Step-by-step explanation:

Answer:

Vertex is 3,1

Domain is 0<x<6

Range is : -9<x<1

Step-by-step explanation:

HELP PLEASE
In AQRS, the measure of ZS=90°, the measure of ZQ=31°, and RS = 27 feet. Find the
length of SQ to the nearest tenth of a foot.

Answers

the answer would be 80 even tho that’s no the answer

Bob found 3 dimes and 17 pennies when he was cleaning his room. Which equations are equivalent to how much money Bob found?

Answers

he has 47 cents

Step-by-step explanation:

so if bob had 3 dimes so off the bat thats 30 cents then 17 pennies you add that up and you get 47 cents mark me as brainlist pls:)

It this right PLZ HELP!!

Answers

Answer:

Yes it is true!

Step-by-step explanation:

1/5 x < 2
please help!

Answers

Answer:  X < 10

Step-by-step explanation:

Multiply by 5 to get the X by itself.

What is the circumference of a circle whose diameter is 5.7 ft? Use 3.14 for pi . Round your answer to the nearest tenth and enter it in
the box

Answers

Answer:

C≈17.91

Step-by-step explanation:

Answer:

17.91

Step-by-step explanation:

Can someone please help me. I’m not quite understanding this problem

Answers

Answer:

A=3

B=8

C=2

D=5

Step-by-step explanation:

hope this helps

Answer:

okay, so to get A you'll have to add 2 and 1 and get three. So, A equals 3. then to get B you will add 3 and 5 because A equals 3 and that will give you 8. so, B equals 8. To get D you will add 2 and 3. that will make D equals 5. to get C you will get 2. because 3 plus two equals five and because 1 plus 2 equals 3

if n is a prime factor of both 15 and 50, what is the value of n?

Answers

Answer:

5

Step-by-step explanation:

Take a look at all the prime factors of 15:

3, and 5 are all the prime numbers by which 15 is divisible.

Next, do the same for 50.

2, and 5 are all the prime numbers by which 50 is divisible.

The only common prime factor is 5.

What is the y-intercept Of the function Represented by the table of values belowX -2 1 2 4 7 y 15 6 3 -3 -12

Answers

Given:

The table of values.

To find:

The y-intercept of the given function.

Solution:

The table of values represents a linear function because the rate of change is constant.

Consider any two points from the given table. Let the two points are (-2,15) and (1,6). Then the equation of the linear function is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-15=\dfrac{6-15}{1-(-2)}(x-(-2))[/tex]

[tex]y-15=\dfrac{-9}{1+2}(x+2)[/tex]

[tex]y-15=\dfrac{-9}{3}(x+2)[/tex]

[tex]y-15=-3(x+2)[/tex]

Adding 15 on both sides, we get

[tex]y=-3x-6+15[/tex]

[tex]y=-3x+9[/tex]

Putting x=0, we get

[tex]y=-3(0)+9[/tex]

[tex]y=0+9[/tex]

[tex]y=9[/tex]

The y-intercept is 9. Therefore, the correct option is C.

Answer: this is correct

Step-by-step explanation:

From turning this assignment in this is correct

Please no one is helping me I truly need help pls

Answers

Answer:

104 cm^3

Step-by-step explanation:

2(1/2(6*4))+2(1/2(4*10)+(4*10)

2(1/2(24)+(2(1/2(40)+(40)

2(12)+2(20)+40

24+40+40

104 CM^3

HURRY TIMED!!! 30 POINTS!!! PICTURE EXPLAINS IT ALL!!

Answers

Answer:

Step-by-step explanation:

it is 5x2 which is 10

The following table shows ordered pairs for a linear function x. Which one of the following equations was used to generate this table?

Answers

Answer:

b

5x+3

Step-by-step explanation:

5×3=15+4=18

5×4=20+3=23

5×8=40+3=43

5×10=50+3=53

hope this helps

10a3 what is the vocabulary for 10

Answers

Answer:

Coefficient

Step-by-step explanation:

If it is 10a^3 (10 times the variable "a" cubed), then 10 is the coefficient.

There are 320 lights in the tree. 25% are red. How many are red?

Answers

Answer:

80 red lights.

Step-by-step explanation:

25% of 320 is 80. Hope this helps!

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