Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?

On a coordinate plane, a triangle has points X prime (negative 2, 2), Y prime (0, 6), Z prime (1, 1).

On a coordinate plane, a triangle has points X (2, negative 2), Y (6, 0), Z (1, 1).
On a coordinate plane, a triangle has points X (2, 2), Y (6, 0), and Z (1, negative 1).
On a coordinate plane, a triangle has points X (negative 2, negative 2), Y (6, 0), Z (negative 1, 1).
On a coordinate plane, a triangle has points X (negative 2, 2), Y (negative 6, 0), Z (negative 1, negative 1).

Answers

Answer 1

A rotation of 90° about the origin includes the interchange of the position of  x, and y in the ordered pair and a change of one of the signs of the pair.

The option that shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin is the option;

On a coordinate plane, a triangle has points X(2, 2), Y(6, 0), and Z(1, -1).

Reasons:

The given transformation the gives the X'Y'Z' = 90° rotation about the origin

The given coordinates of X'Y'Z' are;

X'(-2, 2), Y'(0, 6), and Z'(1, 1)

Required:

The figure that shows the preimage of X'Y'Z'

Solution:

Given that X'Y'Z' is obtained by the rotation of XYZ 90°, therefore, the

coordinates of XYZ are given by the rotation of X'Y'Z' in the reverse

direction either counterclockwise and clockwise.

(x, y) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] (-y, x)

(x, y) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] (y, -x)

Therefore, we have;

X'(-2, 2) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] X(-2, -2)

Y'(0, 6) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] Y(-6, 0)

Z'(1, 1) [tex]\underrightarrow {R_{90^{\circ}}}[/tex] Z(-1, 1)

Similarly, we get;

X'(-2, 2) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex]  X(2, 2)

Y'(0, 6) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex]  Y(6, 0)

Z'(1, 1) [tex]\underrightarrow {R_{-90^{\circ}}}[/tex] Z(1, -1)

The above coordinates of XYZ; X(2, 2), Y(6, 0), and Z(1, -1), corresponds to

the option;

On a coordinate plane, a triangle has points X(2, 2), Y(6, 0), and Z(1, -1).

Therefore, XYZ was rotated 90° clockwise to form X'Y'Z'

Learn more about rotation transformation here:

https://brainly.com/question/4738741

Answer 2

Answer: the first box is 90 degrees and the second box is 2 :D

Step-by-step explanation: ed 2020

hope you have a goody day / night ^^


Related Questions

Find the missing values (4,16) and (x,24)

Answers

Answer:

(6, 24)

Step-by-step explanation:

The amount Amanda earns babysitting in a month is represented by the equation a=9.5h. In the equation, a
represents the total amount Amanda earns. The number of hours she babysits is represented by h. What is the
constant of proportionality (unit rate) of a to h?

Answers

Answer:

9.5

Step-by-step explanation:

Well the constant proportionality is 9.5 because that is what makes p directly proportional to a, because when h increases, a increases, and when h decreases, a decreases.

PLS HELP NEED TO PASS TEST <3!!!!
find the surface area of the cylinder to the nearest whole number. the figure is not drawn to scale.

905 in^2
1,282 in^2
2,187 in^2
7,691 in^2

Answers

Answer:

[tex]A=2\pi rh+2\pi r^2=2*\pi *12*17+2*\pi *12^2= 2187in^2[/tex]

Step-by-step explanation:

Answer:

2,187 in^2

Step-by-step explanation:

A=2πrh+2πr^2

=2·π·12·17+2·π·12^2

≈2186.54849

PLEASE HELP!!!

I don't understand....
If possible, please explain!

Answers

I strongly believe it’s SAS

Answer:

A. HL

Step-by-step explanation:

It cant be B because you cant do SSA

Its not C. Because there is only 1 angle

and it cant be D because the angles dont line up.

So is A. HL

what is the probability of spinning different numbers when the spinner below is spun twice​

Answers

Answer:

25%

Step-by-step explanation:

how many lines of symmetry does the quadrilateral below have.
A. 0
B. 1
C. 2
Which of the following are magnitudes for rotational symmetry of the quadrilateral below about the marked point.
A.30
B.90
C.180
D.None of the above

Answers

Answer:

C; A

Step-by-step explanation:

(coming from an 8th grader :)

1. should be A, because on each side of the quadrilateral there are two lines being mirrored.

2. should be C, because the angles are acute and not right or straight. you may be thinking “but there is a straight line” yes, you are right there’s a straight line, but there’s multiple angles consisted in making one whole angle.

A line passes through the point (1,-3) and has a slope of -7. Find the equation of the line.

Answers

Answer:

y = -7x+4

Step-by-step explanation:

We can use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

We know the slope

y = -7x+b

We have a point to substitute in for x and y

-3 = -7(1) +b

-3 = -7+b

Add 7 to each side

-3+7 =b

4 =b

We can substitute this back into

y = -7x+b

y = -7x+4

Answer:

y+-7x+4

Step-by-step explanation:

y-y1=m(x-x1)

y+3=-7(x-1)

y+3=-7x+7

y=-7x+4

Find the measure of arc BGF

Answers

180°

Step-by-step explanation:

measure of half a circle arc is 180

From B to F is 180 degrees because BF is a diameter.  

Answer: 180 degrees

Which value is equivalent to 15 − 4 × 2? A) 2 B) 7 C) 9 D) 23

Answers

Answer

D because i had it before

Answer:

B

Step-by-step explanation:

You need to do 4*2 which is 8. Then you need to subtract 15-8 to get 7.

Hope this helps.

just some math :> and meh needs halp



Answers

Answer:16

Step-by-step explanation:

5 times 2 is 10. 10 times 0 is 0. 1 times 6 is six

need help
ASAP will give 20 points!

Answers

Answer:

141

Step-by-step explanation:

24 (triangle) + 117 (trapezoid)

Answer:

141

Step-by-step explanation:

Trapezium + triangle

[½ × (16+10) × 9] + [½ × 6 × 8]

117 + 24

141 in²


Which statements about functions g(x) = x2 − 4x + 3 and f(x) = x2 − 4x are true? Select all that apply

A)The vertex of the graph of function g is above the vertex of the graph of function f.
B)The graphs have the same axis of symmetry.
C)Function f has a maximum value and function g has a minimum value.

Answers

Answer:

It is C i just had that question

Step-by-step explanation:

Answer:

just c i had that question too

Step-by-step explanation:

which statement best describes the possible value of the median time of students riding the bus to school?

Answers

Answer:

Step-by-step explanation:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Answer:

its a on edge 2021

Step-by-step explanation:

What are the rules of simplifying exponents?

Answers

Answer:

To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.

Step-by-step explanation:

Pls help 100 points


Consider this dilation.

(a)
Is the image of the dilation a reduction or an enlargement of the original figure? Explain.

(b)
What is the scale factor? Explain.

Answers

The letters M,S,V are the original image.

The letters M’, S’, V’ are the displayed image.

You can see that M’, S’,V’ is a smaller image, so it was a reduction.

The length of line MS is 9 units.

The length of M’S’ is 6 units.

The dialation is 6/9 = 2/3

Answer:

(a) reduction

(b) 2/3

Step-by-step explanation:

(a) The original figure is called ΔMSV, while the dilation is called ΔM'S'V'. Because we can see that M'S'V' is clearly much smaller than MSV, we know that the image is a reduction of the original.

(b) We simply need to find the ratio of one side of M'S'V' to one side of MSV. Look at M'S': the length is just 4 - (-2) = 6 (this is because it's a completely horizontal line). The length of MS is 6 - (-3) = 9.

So, the scale factor is: 6 / 9 = 2/3.

Please help with this

Answers

Answer:

B

Step-by-step explanation:

I used the quadratic formula

Answer:

B

Step-by-step explanation:

Given

(x + 5)² = 48 ( take the square root of both sides )

x + 5 = ± [tex]\sqrt{48}[/tex] = ± [tex]\sqrt{16(3)}[/tex] = ± 4[tex]\sqrt{3}[/tex] ( subtract 5 from both sides )

x = - 5 ± 4[tex]\sqrt{3}[/tex] → B

Solve for y: 12x + 4y = 24
Plz help
A) y=4
B) y=-3x+6
C) y=-1/2x+4
D) y=2x+4

Answers

Answer: b

Step-by-step explanation:

Question 1
(01.01 LC)

Which of the following is a rational number? (1 point)

square root of 48, square root of 49, square root of 50, square root of 51
Group of answer choices

square root of 48

square root of 49

square root of 50

square root of 51

Answers

Answer:

49

Step-by-step explanation:

7 is rational and it's the square root of 49.

Answer:

[p

Step-by-step explanation:

Question 10(Multiple Choice Worth 5 points)

(01.01 LC)

Which of the following is a rational number?

square root of 15, square root of 16 square root of 17, square root of 18

square root of 15

square root of 16

square root of 17

square root of 18

Help! I don't know how to do this! I will mark Brainliest!

Answers

Answer:

- 3y² - 7y + 6

Step-by-step explanation:

Given

(- 3y + 2)(y + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

- 3y (y + 3) + 2(y + 3) ← distribute both parenthesis

= - 3y² - 9y + 2y + 6 ← collect like terms

= - 3y² - 7y + 6

Answer:

is it A?

Step-by-step explanation:

i choose that because its the only one with -3y² which is correct

What is the simplest form of this expression y2 (3y + 4) + 5y3

Answers

Answer:

y2 (3y + 4) + 5y3 :))

Step-by-step explanation:

please give me a good rating lol

Answer:

y2(3y+4)=5y3

Step-by-step explanation:

Four less than 3 times a number is the same as the number plus 10 - in an equation

Answers

Answer:

4-3x=x+10

Step-by-step explanation:

4- (four less)

3x (3 times a number)

= (is the same as)

x (the number)

+10 (plus ten)

Please rate, thanks, mark brainliest if this helps!


Can someone help me and show how to write the perimeter equation to find x.
50 points. Answer part b. for full 70 points

Answers

Answer:

a) 10x + 8 = 21

b) x = 1.3

Step-by-step explanation:

The line of symmetry is a vertical line that passes through point C.

That makes sides BC and CD congruent, and sides AB and ED congruent.

perimeter = AB + BC + CD + DE + EA

perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8

perimeter = 21

a) Equation:

10x + 8 = 21

b)

10x + 8 = 21

10x = 13

x = 1.3

Math question down below

Answers

Answer:

answer is E

Step-by-step explanation:

Answer:

Another way to show [tex]\frac{9}{2}[/tex] is (E. 9 ÷ 2)

Step-by-step explanation:

A. 2 x [tex]\frac{1}{9}[/tex] =  [tex]\frac{2}{9}[/tex] (incorrect)

B. 2 x [tex]\frac{9}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 (incorrect)

C. 2 ÷ 9 = 0.22 (incorrect)

D. 9 ÷ [tex]\frac{1}{2}[/tex] = 18 (incorrect)

E. 9 ÷ 2 = 4.5 (correct)

what is the distance between the pair of points.

(3, 3) and (3, −5)

Answers

Answer: 8

Step-by-step explanation:

So the right answer is 8units

Look at the attached picture

hope it will help you...

Good luck on your assignment

you can choose more than 1

Answers

Answer:

A

Step-by-step explanation:

If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.

Hope this helped!

Answer:

A

Step-by-step explanation:

If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.

anyone ? please help out

Answers

Answer:

1:>

2:>

3:>

Step-by-step explanation:

Answer:

-5    >    -12 -5 is greater than -12 because -5 is closer to positive numbers (0) then -12 is.

-6  >   -8     -6 is greater than -8 because -6 is closer to positive numbers (0) then -8 is.

6  >  -11   6 is greater than -11 because 6 is a positive number and -11 is a negative number.

Dont forget to mark brainliest please!

What represents the product of x AND y + 4?

xy+4x
xy+4
x+y+4
x+4y

Answers

Answer: A. xy + 4x

Step-by-step explanation:

(x)(y + 4)

distribute the x to both terms

xy + 4x

hope this helps! :)

Answer:

A. xy + 4x

Step-by-step explanation:

(x)(y + 4)

distribute the x to both terms

xy + 4x

What is the area of the shaded region to the nearest tenth of a foot?

Answers

It would be 294 because you are multiplying them together

On a coordinate plane, triangle A B C has points (negative 3, negative 1), (negative 2, negative 3), (1, negative 1) and is reflected across y = 1. Reflect the figure over the line y = 1. Which is point A’ after the reflection? A’(–3, 1) A’(–3, 3) A’(–3, 2) A’(1, 1)

Answers

Answer:

A' = (-3, 3)

Step-by-step explanation:

If the points are as follows:

A = (-3, -1)

B = (-2, -3)

C = (1, -1)

When reflecting across a y axis the x values remain the same.

When reflecting across y = 1 the y values will remain equal distant from y = 1.

A' = (-3, 3) y value = |-1 - 1| = 2 + 1 = 3

B' = (-2, 5) y value = |-3 - 1| = 4 + 1 = 5

C' = (1, 3) y value = |-1 - 1| = 2 + 1 = 3

Answer:

A' = (-3, 3)

Step-by-step explanation:

HELP QUICK!! 25 POINTS AND BRAINLIEST!!
What is the area of the shaded sector of the circle?
a. 20
b. 25
c. 100
d. 72

Answers

Answer:

i think its 25 because like if 72 is the shaded part then it can't be the answer 100 wouldn't be the answer because it is too high and 20 wouldn't be the answer because it is too low so 25 is my reasonable answer.

Step-by-step explanation:

Since the area to me is 25 then we would do 360 x 25 = 9000

the you do 9000 / 36 i got 36 by doing 360 / 10

After that you you do 9000 / 36 which gives you 2.5

Last i did 2.5 x 10 which gave me 25

Hope this helpsBrainliest plzhope you get this right

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