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I am Lyosha [343]
2 years ago
14

Which best explains why the rotation represents an

Mathematics
1 answer:
Alinara [238K]2 years ago
4 0

The best explanation for why the rotation is isometric is "<u>The rectangle did not change shape or size</u>". Hence the <u>second option</u> is the right choice.

There are four main categories of transformations:

  1. Translation (figure slides in any direction)
  2. Reflection (figure flips over a line)
  3. Rotation (figure turns about a fixed point)
  4. Dilation (the figure is enlarged or reduced)

A stiff transformation known as an isometry maintains perimeter and area while also preserving length and angle measurements. In other words, there is congruence between the preimage and the image. Translations, reflections, and rotations are therefore isometric, but dilations are not since the image and preimage are comparable, rather than congruent figures.

The transformation in the question will be isometric when the preimage of the rectangle before 360° rotation, will be congruent to the image after the rotation.

The congruency is best described by the option "The rectangle did not change shape or size", as that is the basis of congruency.

Thus, the best explanation for why the rotation is isometric is "<u>The rectangle did not change shape or size</u>". Hence the <u>second option</u> is the right choice.

Learn more about isometric transformations at

brainly.com/question/24095450

#SPJ4

The provided question is incomplete. For the complete question, refer to the attachment.

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There are 10 marbles in a paper bag, 6 of which are red. The rest are blue. You play a game with your friend. If you draw a red
maria [59]
No, because you have 1 more marble than her. While you have 6 marbles in the bag, she has 4; there’s a 3/5 chance that you’ll win, and a 2/5 chance that she’ll win.
7 0
3 years ago
Usethe distributive property to express28+42
tankabanditka [31]

Answer:

To express the sum of two numbers using distributive property, we factor out the highest common factor (HCF) of the two numbers (i.e. the greatest number that can divide the two numbers without remainder)

28 = 2 x 2 x 7

42 = 2 x 3 x 7

The HCF of 28 and 42 is given by 2 x 7 = 14

Therefore, we express 28 + 42 using distributive property thus: 14(2 + 3)

4 0
3 years ago
Read 2 more answers
Solve 3x – ly= 11 and -2x – 4y=-26 by elimination
Ede4ka [16]

Answer:

(5, 4 )

Step-by-step explanation:

Given the 2 equations

3x - y = 11 → (1)

- 2x - 4y = - 26 → (2)

Multiplying (1) by - 4 and adding to (2) will eliminate the y- term

- 12x + 4y = - 44 → (3)

Add (2) and (3) term by term to eliminate y

- 14x + 0 = - 70

- 14x = - 70 ( divide both sides by - 14 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (1)

3(5) - y = 11

15 - y = 11 ( subtract 15 from both sides )

- y = - 4 ( multiply both sides by - 1 )

y = 4

solution is (5, 4 )

7 0
3 years ago
triangle ABC is isosceles, angle B is vertex angle , AB = 20x -2, AC =25x, and BC =12 x +20. Find x and the length of each side
lisov135 [29]

Length of AB = 18. 92

Length of AC = 26. 15

Length of BC = 32. 552

<h3>How to determine the sides of the triangle</h3>

Using the Pythagorean theorem, we have that

(20 x-2)^2 = (12x + 20)^2 + (25x)^2

Expand the bracket

400x^2- 4 = 144x^2 + 400 + 625x^2

Collect like terms

400x^2 - 144x^2 - 625x^2 = 400 + 4

-369x^2 = 404

Make x^2 subject

x^2 = \frac{404}{369}

x = \sqrt{1.0948}

x = 1. 046

Thus,

Length of AB = 20x -2 = 20(1. 046) - 2 = 18. 92

Length of AC = 25x = 25* 1.046 = 26. 15

Length of BC = 12x + 20 = 12(1. 046) + 20 = 32. 552

Learn more about isosceles triangles here:

brainly.com/question/1475130

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8 0
1 year ago
during a pickup basketball game the ratio of players on the red team to players on the blue team was 5:6. Write whether each sta
UNO [17]

Answer:

false

Step-by-step explanation:

thats not fair for the other team

7 0
3 years ago
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