Which sequence of transformations will map figure Q onto figure Q′?
Two congruent quadrilaterals are shown on a coordinate plane; quadrilateral Q with coordinates negative 9 comma 2, negative 6 comma 4, negative 4 comma 4, and negative 2 comma 2; quadrilateral Q prime with coordinates 2 comma 2, 4 comma 4, 6 comma 4, and 9 comma 2.
A) Translation of (x, y + 2), reflection over x = 1, and 180° rotation about the origin
B) Translation of (x, y − 2), reflection over x = 1, and 180° rotation about the origin
C) Translation of (x, y − 2), reflection over y = 1, and 180° rotation about the origin
D) Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin
Answers
Answer:
Which sequence of transformations will map figure Q onto figure Q′?
Its D.Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin
Step-by-step explanation:
The sequence of transformations that will map figure Q onto figure Q′ : 'Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin.'
The correct answer is option (D)
What is translation?"It is a geometric transformation in which the displacement of a figure from one place to another."
What is reflection?"It is a geometric transformation where all the points of an object are reflected on the line of reflection."
What is rotation?"It is a transformation in which the object is rotated about a fixed point."
For given question,
Quadrilateral Q with coordinates (-9, 2) ,(-6, 4) ,(- 4, 4) , and (-2, 2) Quadrilateral Q' with coordinates (2, 2), (4, 4), (6, 4), and (9, 2)
Consider a point (-4, 4) of quadrilateral Q. If we reflect Q over x = 1, then it would push the x coordinate of (-4, 4) to new x value 5 units to the right of x = 1, which is x = 6, and 180 rotation would make x = -6 But x = -6 is not in Q' . So it must be reflection over y = 1.Consider the transformations at option C, First translate to (x, y - 2) So, the translation of (-4,4) becomes (-4, 2), reflection over y = 1 gives (-4, 4), and 180° rotation about origin gives (4, -4) which is not the coordinate of Q'Now, consider the translation of (x, y + 2) So, the translation of (-4, 4) becomes (-4, 6), reflection over y = 1 gives (-4, -4), and 180° rotation about origin gives (4, 4) which is the coordinate of Q'Therefore, the sequence of transformations that will map figure Q onto figure Q′ : 'Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin'
The correct answer is option (D)
Learn more about geometric transformations here:
https://brainly.com/question/15577335
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Related Questions
please answer the following
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Answer:
it 10
Step-by-step explanation:
Use the point-slope equation to identify the slope and the coordinates of a point
on the line y - 4 = {(x - 1).
The slope of the line is
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Answer:
A point on the line is m=1/2
A point on the line is (1,4)
Step-by-step explanation:
a 95 inch board is cut into to pieces. one piece is four times the length of the other. Find the length of the shorter peice
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50
Step-by-step explanation:
which equations are linear functions? select all that apply
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Answer: 1, 3, and 5
Step-by-step explanation:
What is the solution to
2x + 8 < 3x - 4?
A) X < 12
B) X > 12/5
C) X > 12
D) X < 12/5
Answers
Answer:
A
Step-by-step explanation:
Answer:
The answer is choices C.
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x+8<3x−4
Step 1: Subtract 3x from both sides.
2x+8−3x<3x−4−3x
−x+8<−4
Step 2: Subtract 8 from both sides.
−x+8−8<−4−8
−x<−12
Step 3: Divide both sides by -1.
−x/-1<−12/-1
x>12
3. The human body is
made up of about
18.5% carbon. What
part of Dr. Brooks
weight is not carbon if
he weighs 210 pounds?
Answers
Answer:
Step-by-step explanation:
Dr Brooks weights 210 lbs
18.5 % is carbon
210*(18.5/100)=38.85
the part that is NOT carbon is
210-38.85=171.18 lbs
Name the following note!!
Answers
Answer:
Maybe this will help btw not math
Step-by-step explanation:
How would I solve this? I tried and I got a reallly crazy number... I think I messed up somewhere. The question is... Jack and Mark work together on a job, but not equal hours. Mark gets paid $11 per hour and Jack gets paid $10 per hour. Together they worked 58 hours and earn a total of $601. How many hours did each one work?
I made these equations.
m+j=58
11m+10j
The first one I rearranged to m=58-j.
Answers
21 x 11 = 231
Mark worked 21 Hours, Jack worked 37 Hours.
Answer:
Jack earns $37
Mark earns $21
Step-by-step explanation:
m + j = 58
11m + 10j = 601
j = 58 - m
11m + 10(58 - m) = 601
11m + 580 - 10m = 601
1m = 601 - 580
m = 21
j = 58 - m
j = 58 - 21
j = 37
A federal agency mailed a survey to 35% of the households in Chicago, New York, Los angeles, and Miami and found that 60% of the people surveyed had commute times over one hour. So, they concluded that 60% of all Americans have commute times over one hour.
Which of the following statements is correct?
A. This method of sampling can be considered both biased and unbiased
B. This method of sampling is neither biased nor unbiased
C. This method of sampling is biased
D. This method of sampling is unbiased
Answers
AQRS contains the points: Q (4,2) R (5.1) S (3.7). If the triangle is reflected across the y-axis, what will she?
Answers
Answer:
The answer is (-3, 7) hope this helps
Step-by-step explanation:
Answer:If it's reflected,then it should be (-3.7).
Step-by-step explanation:
2. What is the equation of the line that passes through the points (4,5) and
(8,3)?
Answers
Answer:
y = -1/2x + 7
Step-by-step explanation:
The slope is -1/2.
The y intercept is 7.
Plugging them into the format for the equation we have:
y = mx + b
(m = slope and b = y intercept)
y = -1/2x + 7
hhhhhhhhhhhhhhellllllllllllllllllloooooooooooooppppppppppppppppp
Answers
Answer:
The answer is C. -3/4x+4
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
y=(-3/4)x + 4
take any point on the line and go up 3 than left 4 and you will end up on the line again because slope is rise/run
the slope is negative because from left to right the line is downhill
A $760 item is marked down by 10% what is the new cost of the item
Answers
Answer:
Step-by-step explanation:
This means the cost of the item to you is $684. You will pay $684 for an item with an original price of $760 when discounted 10%. In this example, if you buy an item at $760 with a 10% discount, you will pay 760 - 76 = 684 dollars.
Answer:
the answer is $684
Step-by-step explanation:
760 x 10 /100= 76
760 - 76 = $684
Noah invested $2,500 in an account paying 4.5% simple interest. How much was his account worth after 5 years?
Answers
Answer:
$3,062.50 after 5 years.
Step-by-step explanation:
The answer is 3,062.50 because 4.5% of 2,500 is 112.5 and 112.5 multiplied by 5 is 562.5 and 2,500 plus 562.5 is 3,062.50.
P.S Can I have brainliest?
Right triangle PQR has sides of length 6 units, 8 units, and 10 units. The triangle is dilated by a scale factor of 4 about point Q. What is the area of triangle P’Q’R’?
Helpp plss
Answers
The area of the triangle P’Q’R’ is 384 square units
The formula for calculating the area of a triangle is expressed as:
A = 0.5bhb is the base of the triangleh is the height of the triangle.If the right triangle PQR has sides of length 6 units, 8 units, and 10 units is dilated by a scale factor of 4 units, hence:
base = 4(6) = 24 unitsheight = 4(8) = 32 unitsArea of the triangle P’Q’R’ = 0.5(24)(32)
Area of the triangle P’Q’R’ = 384 square units
Hence the area of the triangle P’Q’R’ is 384 square units
Learn more on area of triangles here: https://brainly.com/question/17335144
Factor the following expression 2x^2 - 11x+12
Answers
Answer:
(2x-3)(x-4)
Step-by-step explanation:
Please help I’ll give you brainliest uwu
Tom and Ana are both
botanists studying
flower pollination. In Tom's garden, the
ratio of roses to tulips is 3 : 1. In Ana's
garden, the ratio of roses to tulips is 5 : 2.
0 Part A: Tom's garden and Ana's garden
each have 30 tulips. H&w many more
roses are in Tom's garden than in Ana's
garden? Explain your reasoning.
Part B: Tom and Ana combined their
flowers into a single garden. What is the
ratio of roses to tulips in the combined
garden?
Answers
Answer:
A: tom has 15 more roses than ana does.
B: 11:4
Step-by-step explanation:
A: there is a 3:1 and 5:2 ratio of roses to tulips. that means that in tom's, there are 3 roses for every tulip and 5 roses for every 2 tulips in ana's.
we know that they each have 30 tulips so now for Tom.
3:1 so to find roses, we need to multiply the value of tulips to 3.
3×30=90 so we know he has a total of 90 roses.
for ana: she also has 30 tulips. BUT now her ratio is 5:2. so for every 2 tulips she has 5 roses. we need to divide the value of tulips by 2 so 30/2=15 and multiply it by 5, 15*5=75
THAT IS NOT THE ANSWER!! to find the rest of the answer, we have to subtract tom's amount by ana's amount: 90-75=15
B: to find this answer, we have to add all of the roses together and all of the tulips together. roses: 90+75=165. tulips: 30+30=60.
the ratio we get is 165:60. and now we need to simplify it.
what is the slope of the graph
Answers
60 to 0 is a slope of the graph
Answer:
Y=60,X=2,5
Step-by-step explanation:
HELPPPPPPPP ASAPPPP PLSSSS
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Answer: 1304.7
Step-by-step explanation: just took test
^. ^
260 11
1) Una fábrica necesita 10 horas de trabajo por persona para producir un ventilador (x) y 15 horas de trabajo por persona para producir un aparato de aire acondicionado (y). Si la fábrica produjo en conjunto 20 ventiladores y aparatos de aire acondicionado en el transcurso de 260 horas, ¿cuántos de estos productos fueron ventiladores? *
Answers
Answer:
20
Step-by-step explanation:
20x1
=20
10+10
=20
15+5
=20
Answer:
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ACADEMIA DE IDIOMAS busca profesor de inglés. Se requiere diploma y experiencia mínima de. Horas flexibles. Escribir a
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Step-by-step explanation:
simplify:4.6t + 7.1s + 12.8t - 1.6s
Answers
Answer:
17.4t+5.5s
Step-by-step explanation:
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Answer:
95
Step-by-step explanation:
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Answers
Answer:
should be 180
Step-by-step explanation:
All triangles add up to 180 degrees based on the triangle sum theorem
Transformations
1. The vertices of triangle STU are S(1, -2), T(5,-2) and U(1, -4). Find the coordinates of the
image of triangle STU after a translation using the rule (x, y) — (x - 1, y + 4) and a reflection
over the y-axis.
Answers
Answer:
a
0
=
44
XXX
a
1
=
?
XXX
a
2
=
?
XXX
a
3
=
?
XXX
a
4
=
92
Step-by-step explanation:
HELP ME PLS IF YOU DO I WILL GIVE YOU BRAIN EST :)
Answers
Answer:
2b( 12 - 17a)
Step-by-step explanation:
This is the answer because:
1) Fator 2b out of 24b - 34ab:
2b x 12 = 24b = 24b ÷ 2b = 12
2b x 17a = 34ab = 34ab ÷ 2b = 17a
Therefore, the answer is 2b( 12 - 17a).
Hope this helps! :D
Answer:
2b( 12 - 17a)
Step-by-step explanation:
good? same test i have and i fail the said this was the answer
An invested sum of $600000 to generate simple interest $3.9000 at 3 (whole number) 1/4% per annum if you don't know please don't answer
Answers
Answer:
20 years
Step-by-step explanation:
We can find the time it took to invest
Using the formula for calculating simple interest as shown
SI = PRT/100
Given
Principal P = $600,000
SI = $39,000
Rate R = 3 1/4%
Required
Time
Substitute
39,000 = 600,000*13/400 * T
39,000 * 400 = 600,000*13 * T
15,600,000 = 7,800,000T
T = 15,600,000/7,800,000
T = 20
Hence it took 20years for the sum invested to generate the interest
EASY MATH- MERRY X MAS :))))
Answers
Answer:
x-intercept means the advertising expense when the company's profit was zero dollars ⇒ D
Step-by-step explanation:
Let us solve the question
∵ P = -250x³ + 1,505x² - 300, for 0 < x < 6
∵ P is the profit in tens of thousands of dollars
∵ x is the advertising expense in tens of thousands of dollars
∴ x is the independent variable
∴ P is the dependent variable
→ x-intercept means value x when P is 0
∵ The x-intercept is the value x at P = 0
∴ x-intercept means the advertising expense when the company's
profit was zero dollars
Perhatikan pola bilangan berikut:2,-6,18,-54,162,...
Answers
Answer:
no comprehendo
Step-by-step explanation:
PLEASE HELP
I NEED BOTH PARTS!