What Are The Rigid Transformations That Will Map ABC To Def? - Fixanswer

Reflections, translations, rotations, and combinations

of these three transformations are “rigid transformations”. While the pre-image and the image under a rigid transformation will be congruent, they may not be facing in the same direction.

Is there a rigid transformation that maps triangle ABC to triangle ABC if so which transformation?

triangle abc is reflected over line l to result in the image, triangle a’b’c’. which statements are true about the transformation that maps triangle abc to triangle a’b’c? select all that apply. the transformation is a

rigid transformation

.

What are the 4 rigid transformations?

There are four types of rigid motions that we will consider:

translation , rotation, reflection, and glide reflection

.

Which type of rigid transformation would map ABC to EDC?

Step-by-step explanation: In order to map the figure ABC which act as a pre-image to the image EDC the transformation that will take place is:

A rotation about point C

.

What are the rigid transformations that will map ABC to DEF quizlet?

What are the rigid transformations that will map△ABC to △DEF?

Translate vertex A to vertex D, and then reflect△ABC across the line containing AC. Translate vertex B to vertex D, and then rotate△ABC around point B to align the sides and angles

.

What is the rule for the reflection?

The rule for reflecting over the X axis is

to negate the value of the y-coordinate of each point, but leave the x-value the same

. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4).

What are the three types of rigid transformation?

There are three basic rigid transformations:

reflections, rotations, and translations

. There is a fourth common transformation called dilation.

What is the unique about a rigid transformation?

Rigid just means

that the whole shape goes through the same transformation

, so with rotations, reflections, and translations, the shape should not change at all, just in a different place or orientation.

What are not a rigid transformation?

A common type of non-rigid transformation is a

dilation

. A dilation is a similarity transformation that changes the size but not the shape of a figure. Dilations are not rigid transformations because, while they preserve angles, they do not preserve lengths.

Which transformations could be performed to show that △ ABC is similar to △ A B C?

Answer: Option D. Step-by-step explanation: If two triangles ΔABC and ΔA’B’C’ are similar then we take point C of ΔABC to find the transformation performed form C to C’.

Which transformation maps trapezoid PQRS onto?

Reflection , rotation and translation are rigid motions that produces congruent images and do not change the size of the shapes. But

dilation

is not a rigid motion because it changes the size of the shape by using a scale factor. Hence, the transformation maps trapezoid PQRS onto trapezoid P’Q’R’S’ is “Dilation”.

Which transformation Cannot be used to prove that ABC is congruent?

The transformation that cannot be used to prove the congruence of and is

dilation

.

What are the two other names for rigid transformations?

In mathematics, a rigid transformation (also called Euclidean transformation or Euclidean isometry) is a geometric transformation of a Euclidean space that preserves the Euclidean distance between every pair of points. The rigid transformations include

rotations, translations, reflections, or their combination

.

How many basic transformations are there?

There are

four main

types of transformations: translation, rotation, reflection and dilation.

What is an isometric transformation?

An isometric transformation (or isometry) is

a shape-preserving transformation (movement) in the plane or in space

. The isometric transformations are reflection, rotation and translation and combinations of them such as the glide, which is the combination of a translation and a reflection.