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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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In the accompanying diagram, line BD bisects acute angle ABC and line AD is parallel to line BC. What kind of triangle must tria
galina1969 [7]

Answer:

  isosceles

Step-by-step explanation:

With AD║BC, ∠ADB ≅∠DBC. The angle bisection also ensures that ∠ABD≅∠DBC. Hence the two angles ABD and ADB must be congruent to each other.

A triangle with two congruent internal angles is an isosceles triangle.

6 0
3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
Anni [7]

Answer: The rocket will reach its max after 4 seconds

Step-by-step explanation:

Hi, to find the maximum height, we have to set the first derivative of the equation equal to zero.

y=-16x^2+128x+136

0 = (2)-16x +128  

0= -32x+128

Solving for x:

32x = 128

x = 128/32

x = 4 seconds

The rocket will reach its max after 4 seconds

Feel free to ask for more if needed or if you did not understand something.

7 0
3 years ago
76°<br> x<br> 135°<br> 810<br> X =<br> X=<br> y=
enot [183]

Answer:

x = 68º

Step-by-step explanation:

This trapezoid is a quadrilateral.  All degrees in a quadrilateral have to add up to 360º.  

76º + 135º + 81º + xº = 360º

292º + xº = 360º

xº = 360º - 292º

xº = 68º

5 0
2 years ago
Suppose x follows a continuous uniform distribution from 1 to 5. determine the conditional probability p(x &gt;2.5 | x ≤ 4).
Rainbow [258]
Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4,  x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.

The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375

Answer: 0.375

8 0
3 years ago
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