Which of the following statements is true of a reflection? Select all that apply. It is an isometry. It slides a plane. The transformation is done over a line of reflection. It flips a plane about a fixed line. It changes the size of the figure being reflected.

Answers

Answer 1
Answer:

Answer: It is an isometry.

The transformation is done over a line of reflection.


Step-by-step explanation:

A reflection is a transformation that flips a figure on the coordinate plane across a given line without changing the shape or size of the figure.

From the definition of reflection, the figure and its image are congruent ,thus it is an isometry.

It does not slides a plane or flips a plane and does not changes the size of the figure.

Answer 2
Answer:

It is an isometry and the transformation is done over a line of reflection. Option (a) and option (c) is correct.

Further explanation:

Given:

The statements about reflection are as follows,

(a). It is an isometry.

(b). It slides a plane.

(c). The transformation is done over a line of reflection.

(d). It flips a plane about a fixed line.

(e). It changes the size of the figure being reflected.

Explanation:

Isometryis a mapping of space to another space so that the length between the points is same as the length in the original space. Translation and the rotation are the isometries of plane.

Reflection is a transformation. The preimage is just flipped along a line of reflection to get a new image.

It is an isometry and the transformation is done over a line of reflection.

Option (a) is correct.

Option (b) is not correct.

Option (c) is correct.

Option (d) is not correct.

Option (e) is not correct.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Number System

Keywords: statements, true, reflection, isometry, slides, plane, transformation, done, over, line of reflection, flips, plane, fixed line, changes, the size, reflected, translation.


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Find the width of a rectangle with a perimeter of 90 and a length of 15.A.90
B.15
C.45
D.30
I really need help.

Answers

A rectangle has 2 sets of equal parallel lines. And we know one of the sides is 15.
So we know two of the sides have to be 15. Right?

So that means 15 x 2 = 30

So we know that two of the sides add up to equal 30.

The entire perimeter is 90. Well we've used 30 so lets see how much we have left to use.

90(the entire perimeter) - 30(the amount we know) = 60(what we have left)

So the last two sides of the rectangle equal 60, since there are two sides, let's divide the remaining perimeter by 2

60(both of the sides) / 2(the last 2 sides that we haven't found the length for yet) = 30

So now we know all of the sides.

Let's read the question again now.

"Find the 'WIDTH' of a rectangle with a perimeter of 90 and a 'LENGTH' of 15"

So it's 15 long(length), and 30 wide(width)

If this doesn't help, I can draw a picture and it mights make some more sense :)

Final answer:

The width of the rectangle is 30 units.

Explanation:

To find the width of a rectangle, we need to use the formula for the perimeter of a rectangle, which is 2(length + width). In this case, we are given the perimeter as 90 and the length as 15. Plugging these values into the formula, we get: 90 = 2(15 + width).

Now we can solve for the width. First, simplify the equation: 90 = 30 + 2(width).

Then, subtract 30 from both sides: 60 = 2(width). Divide both sides by 2 to isolate the width: width = 30.

Therefore, the width of the rectangle is 30 units.

Learn more about Width of a rectangle here:

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Skate Land charges a $75 facility usage fee for a birthday party rental and $7 per person. The cake for the party has already been ordered and costs $47. The Smith family wants to spend less than $250 for the entire birthday party. Using the inequality 7p+75+47< 250, what would be the largest amount of people they could have at the party? Let p = the number of people invited.

Answers

Answer: The maximum number of people they could have at the party is 18.

Step-by-step explanation:

$250 - $75 = $175

$175 - $47 = $128

$128 / $7 = 18.28

Hope this helps:)

toan is building tables for the park department.He needs 20 bolts for each table.if he has 60 bolts at his workplace and he gets 300 more bolts from the supply room,how many tables can he build?

Answers

60+300=360
360/20=18
he can build 18 tables
360
_
20 + 18 your welcome enjoy your answer :D

Estimate the sum by rounding each mixed number to the nearest half or whole number.8 1/5+ 1 7/16

Answers

You round the 1st number to the nearest whole number which is 8. The second number is rounded to the nearest half.
So it would be 8 + 1 8/16 = 9 1/2.      

What is the range of possible sizes for side x? it is a triangle with one side having 4.0, and the other having 5.6. picture attached below, thanks in advance :)

Answers

Given:

Given that the two sides of the triangle are x, 4.0 and 5.6

We need to determine the range of possible sizes for the side x.

Range of x:

The range of x can be determined using the triangle inequality theorem.

The triangle inequality theorem states that, "if any side of a triangle must be shorter than the other two sides added together".

Thus, applying the theorem, we have;

x=4.0+5.6

x=9.6

Also, the the triangle inequality theorem states that, "the third side must be also larger than the difference between the other two sides".

Thus, we have;

x=5.6-4.0

x=1.6

Thus, the range of possible values for x are 1.6<x<9.6

Final answer:

In accordance with the triangle inequality theorem, the range for the length of the third side (x) in a triangle with sides of 4.0 and 5.6 is greater than 1.6 but less than 9.6.

Explanation:

In the field of Mathematics, specifically geometry, to find the range of possible lengths of a side of a triangle, you need to understand the triangle inequality theorem. The triangle inequality theorem states that the length of a side of a triangle must be less than the sum of the lengths of the other two sides, but more than the absolute difference.

Given you have two sides, 4.0 and 5.6, the possible length for side x should be less than (4.0 + 5.6 = 9.6) and greater than the absolute difference (5.6 - 4.0 = 1.6). So, the range for side x should be 1.6 < x < 9.6.

Learn more about Triangle Inequality Theorem

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Two cell phone companies have different rate plans. Runfast has monthly charges $25 plus $10 per gig of data. B A &D’s monthly charge is $18 plus 15 per gig of data. Your task is to determine under what circumstances each company has the better pricing. You will derive and solve a set of equations, graph those equations, and evaluate the meanings for these events. Don’t worry; I have a series of questions to guide you through the process. Good luck!Determine the equation for the monthly charges for Runfast and BA&D.

Runfast= $35 per month

BA&D= $33 per month

Answers

Given:
Runfast = 25 + 10g
BA&D = 18 + 15g

Runfast = 35 per month
35 = 25 + 10g
35 - 25 = 10g
10 = 10g
10/10 = g
1 = g

BA&D = 33 per month
33 = 18 + 15g
33 - 18 = 15g
15 = 15g
15/15 = g
1 = g

If g = 2;
Runfast = 25 + 10(2) = 25 + 20 = 45
BA&D = 18 + 15(2) = 18 + 30 = 48

Based on my computation, if the gig of data is only equivalent to 1g then BA&D is cheaper. However, if 2gig or above is used, then Runfast is cheaper.