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Ipatiy [6.2K]
3 years ago
7

Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P′Q′R′S′. Which rule describes thi

s transformation?
Mathematics
1 answer:
mylen [45]3 years ago
5 0

Answer:

The rule '' A rule for a translation right and up (x + __, y + __) '' describes this transformation.

Step-by-step explanation:

To Determine:

Which rule describes this transformation?

Fetching Information and Solution Steps:

As Quadrilateral PQRS was

  • translated 5 units to the right and
  • 3 units up

to create quadrilateral P′Q′R′S′.

In order to determine the rule of this transformation, we need to understand some knowledge about the translation.

  • In geometry, translation is a term that is used to describe a function that moves any figure a certain distance.
  • In translation, every point of the figure or object must be moved for the same distance and in the same direction.

There are some rules when translation is made on the Coordinate Plane. These rules are as follows:

  • If the object is moved left and down, the rule would be (x - __, y - __). Here the blanks are the distances moved along each axis.
  • A rule for a translation right and up (x + __, y + __)
  • A rule for a translation right and down (x + __, y - __)
  • A rule for a translation left and up: (x - __, y + __)

As Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P′Q′R′S′.

Therefore, we can conclude that the rule '' A rule for a translation right and up (x + __, y + __) '' describes this transformation.

Keywords: transformation  rule, translation

Learn more about transformation from brainly.com/question/8431820

#learnwithBrainly

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Step-by-step explanation:

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In this question , it is given that we have a cylinder with with a radius of 9 and a surface area of approximately 791.68 units square.

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A= 2 \pi r^2 + 2 \pi r h

Substituting the values of A and r, we will get

791.68 = 2* \pi * 9^2  + 2 * \pi * 9*h
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791.68 = 162 \pi + 18 \pi h
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791.68 -162 \pi = 18 \pi h
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h = \frac{791.68 -162 \pi}{18 \pi}
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3 years ago
Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis. Which congruency statement is true?
lesya [120]

The congruency statement which is true among the answer choices is;

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<h3>Which congruency statement is true?</h3>

According to the task content, the initial transformation is; Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis.

On this note, the congruency which are true regarding the transformation are;

  • On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
  • Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.

This follows from the fact that the transformation.does not involved dilation by means of a scale factor and hence, size remains equal and all angle measures remain the same.

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Katyanochek1 [597]

Answer:

At 5% significance level, it is statistically evident that    there is nodifference in the proportion of college students who consider themselves overweight between the two poll                                  

Step-by-step explanation:

Given that a poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ago.

Let five years ago be group I X and as of now be group II Y

H_0: p_x =p_y\\H_a: p_x \neq p_y

(Two tailed test at 5% level of significance)

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n                  270                 300                         570

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