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3 years ago

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

Reflection, rotation and translation 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.

Reflection, rotation and translation are rigid motions. Option A, option C and option D are correct.

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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.
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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3 years ago

Evaluate the difference quotient for the given function. Simplify your answer.

nasty-shy [4]

I suppose you mean

$f(x) = \dfrac{x+5}{x+1}$

Then

$f(3) = \dfrac{3+5}{3+1} = \dfrac84 = 2$

and the difference quotient is

$\dfrac{f(x)-f(3)}{x-3} = \dfrac{\frac{x+5}{x+1}-2}{x-3} \\\\ \dfrac{f(x)-f(3)}{x-3} = \dfrac{\frac{x+5-2(x+1)}{x+1}}{x-3} \\\\ \dfrac{f(x)-f(3)}{x-3} = \dfrac{-x+3}{(x+1)(x-3)} \\\\ \dfrac{f(x)-f(3)}{x-3} = \boxed{-\dfrac{x-3}{(x+1)(x-3)}}$