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Sergeu [11.5K]
3 years ago
13

1. which of the following transformations are rigid motions?

Mathematics
2 answers:
777dan777 [17]3 years ago
8 0

Answer: A) reflection   C) rotation    D) translation


Step-by-step explanation:

A rigid transformation happens when a point or object is moved, but the size and shape remain the same. There are four kinds of rigid transformation.

1) translation 2) reflection 3) rotation 4) glide reflection.

They all create congruent images.

But a dilation is a non rigid motion.

A dilation is a transformation that creates an image that is the exactly same shape as the original, but have a different size.


azamat3 years ago
4 0

<u>Reflection</u>, <u>rotation</u> and <u>translation</u> are rigid motions. Option A, option C and option D are correct.

Further Explanation:

Given:

The options are as follows,

(A). Reflection

(B). Dilation

(C). Rotation

(D). Translation

Explanation:

Rotation is defined as a movement around its own axis. A circular movement is a rotation. Rotation is a rigid motion.

The reflection symmetry is defined as a line that divides the Figure into two equal parts.

Reflection is a rigid motion.

Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.

Translation is rigid motion.

Dilation is not a rigid motion.

<u>Reflection</u>, <u>rotation</u> and<u> translation</u> are rigid motions. Option A, option C and option D are correct.

Learn more:

  1. If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard brainly.com/question/2479097.
  2. Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? brainly.com/question/1446243.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Geometry

Keywords: Transformation, reflection, dilation, rotation, translation, rigid, motion, rigid motions,

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Complete the statements. f(4) is<br> f(x) = 4 when x is<br>​
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Answer:

x = 8

Step-by-step explanation:

Given f(x) = 4

The required value of x is from the domain.

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From the diagram

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mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes ( red, blue, black, and whit
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The probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have:

Mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes (red, blue, black, and white).

P(black blouse) = 1/3

P(black pants) = 1/2

P(black shoes) = 1/4

Probability that Mary's outfit will be black blouse, black pants, black shoes:

= (1/3)(1/2)(1/4)

= 1/24

Thus, the probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.

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2 years ago
Graph the image of square CDEF after a dilation with a scale factor of 2, centered at the
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Answer:

Image attached

Step-by-step explanation:

Origin looks to be (0, -1), so move each point out by 2

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2 years ago
Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re
fiasKO [112]

Answer: R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts 38^{\circ} angle to each other

The resultant of the two forces is given by

\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}

Insert the values

\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb

Resultant makes an angle of

\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}

So, the resultant makes an angle of 22.57^{\circ} with 9 lb force

Angle made with 13 lb force is 38^{\circ}-22.57^{\circ}=15.43^{\circ}

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