Question

1. which of the following transformations are rigid motions?

Answer 1

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.

Answer 2

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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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Geometry

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