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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Sarah would like to hire a clown for her daughter’s birthday party. Clown A is offering his services for an initial fee of $100 in addition to $11 per hour. Clown B is offering her services for an initial $150 fee in addition to $8 per hour. When will the two clowns charge the same amount of money? Use a table to estimate the solution.
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Answer:
$88.00.
Step-by-step explanation:
here is how I got my answer,
first you multiply 11, 8 times then you will get a total of $88.00.
second you do the same thing, but you go like this, you multiply 8, 11 times and you will get a total of $88.00.
therefore your answer is $88.00.
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Step-by-step explanation:
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Step-by-step explanation:
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Step by step explanation:
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Answer:
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Step-by-step explanation:
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Answers
2=5n+17
Subtract 17 to both sides
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Divide 5 both sides
N=-3
Final Answer: [tex]n = -3[/tex]
Steps/Reasons/Explanation:
Question: How do you solve [tex]2 - 2n = 3n + 17[/tex]?
Step 1: Subtract [tex]2[/tex] from both sides.
[tex]-2n = 3n + 17 - 2[/tex]
Step 2: Simplify [tex]3n + 17 - 2[/tex] to [tex]3n + 15[/tex].
[tex]-2n = 3n + 15[/tex]
Step 3: Subtract [tex]3n[/tex] from both sides.
[tex]-2n - 3n = 15[/tex]
Step 4: Simplify [tex]-2n - 3n[/tex] to [tex]-5n[/tex].
[tex]-5n = 15[/tex]
Step 5: Divide both sides by [tex]-5[/tex].
[tex]n = -\frac{15}{5}[/tex]
Step 6: Simplify [tex]-\frac{15}{5}[/tex] to [tex]-3[/tex].
[tex]n = -3[/tex]
~I hope I helped you :)~
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Step-by-step explanation:
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Step-by-step explanation:
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24
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Answers
Answer:
3 boys for 6 girls.
Answer- 12 boys for 24 girls
Answer:
[tex]*[/tex] [tex]12[/tex] [tex]*[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]There[/tex] [tex]are[/tex] [tex]12[/tex] [tex]boys[/tex] [tex]because:[/tex]
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[tex]--------------------------------------------[/tex]
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Answer:
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Step-by-step explanation:
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Answer:ACP=(mAB/360)(2 pi r)
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Step-by-step explanation:
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Answers
Given:
The total admission price for a group of 4 adults and 10 children is $57.
The total admission price for a group of 3 adults and 7 children is $41.
To find:
The admission prices for an adult and for a children.
Solution:
Let the price of an adult be x and price of children be y.
According to the question,
[tex]4x+10y=57[/tex] ...(i)
[tex]3x+7y=41[/tex] ...(ii)
Multiply equation (i) by 3.
[tex]12x+30y=171[/tex] ...(iii)
Multiply equation (i) by 4.
[tex]12x+28y=164[/tex] ...(iv)
Subtract (iv) from (iii).
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Answers
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......................
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Step-by-step explanation:
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Answer:
4/6
Step-by-step explanation:
2:3 = 2/3
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