Which transformation maps triangle ABC to triangle A B C?

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 rigid transformations that will map?

Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations".

Is there a rigid transformation that would map triangle ABC to triangle DEC?

Yes, but only if BC ≅ DC. Which rigid transformation would map TriangleABC to TriangleEDC? Triangle DEF is congruent to TriangleD'EF' by the SSS theorem.

What are the 3 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 any sequence of these.

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.

Which statement explains why △ ABC is congruent to △ A B C?

Which statement explains why △ABC is congruent to △A′B′C′ ? You can map △ABC onto △A′B′C′ by reflecting it over line y = x and translating it 5 units right, which is a sequence of rigid motions.

How do you find rigid transformations?

0:224:56Finding measures using rigid transformations – YouTubeYouTube

What are examples of rigid transformations?

Rigid Transformation Examples

Reflection: This transformation highlights the changes in the object's position but its shape and size remain intact.
Translation: This transformation is a good example of a rigid transformation.

What transformation of triangle ABC produced triangle def?

Rotation Rotation. A rotation turns each point on the preimage a given angle measure around a fixed point or axis. Each point on triangle ABC is rotated 45° counterclockwise around point R, the center of rotation, to form triangle DEF.

How many rigid transformations are there?

three There are three basic rigid transformations: reflections, rotations, and translations. Reflections, like the name suggests, reflect the shape across a line which is given.

Which congruence theorem can be used to prove △ ABC ≅ △ def?

Then △ ABC ≅ △ XYZ by Side Angle Side (SAS) rule. Then △ ABC ≅ △ DEF by Side Side Side (SSS) rule. Then △ ABC ≅ △ LMN by Right-Angle Hypotenuse Side (RHS) rule. Thus, the congruence of the triangle can be proved by ASA, SAS, SSS, and RHS rules.

Which statement correctly describes the relationship between △ ABC and △ A B C?

Which statement correctly describes the relationship between △ABC and △A′B′C′? 1. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a reflection, which is a sequence of rigid motions.

Which statement explains why △ ABC and △ DEF are similar?

Start exploring! MathGeometryQ&A LibraryWhich statement explains why A ABC and A DEF are similar? Corresponding sides are congruent.

Which statement explains why △ ABC is congruent to △ A B C you can map △ ABC onto △ A B C by reflecting it across the Y axis and translating it 6 unit?

Which statement explains why △ABC is congruent to △A′B′C′ ? You can map △ABC onto △A′B′C′ by reflecting it over line y = x and translating it 5 units right, which is a sequence of rigid motions.

What is a rigid transformation in geometry?

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 the 4 rigid motions?

There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection. Translation: In a translation, everything is moved by the same amount and in the same direction.

What type of transformation is this?

Types of Transformations

Transformation	Function
Rotation	Rotates or turns the pre-image around an axis
Reflection	Flips the pre-image and produces the mirror-image
Translation	Slides or moves the pre-image
Dilation	Stretches or shrinks the pre-image

How do you find the transformation of a triangle?

2:013:58Transformations – Translating A Triangle On The Coordinate PlaneYouTube

How do you solve a rigid transformation?

0:003:56Example of rigid transformation and congruence | Khan AcademyYouTube

How do the areas of triangle ABC and DEF compare?

The correct answer is: B. The area of △ABC is equal to the area of △DEF. The areas of triangle ABC and DEF compare because △ABC is equal to the area of △DEF.

Which statement correctly describes the relationship between △ DEF and △ D E F?

Which statement correctly describes the relationship between △DEF and △D′E′F′? 1. △DEF is congruent to △D′E′F′ because the rules represent a translation followed by a rotation, which is a sequence of rigid motions.

Is triangle ABC similar to triangle DEF Why or why not?

If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF. Using words: If 3 sides in one triangle are congruent to 3 sides of a second triangle, then the triangles are congruent.

Which transformation is a rigid transformation def?

Rigid Transformations – A transformation that does not alter the size or shape of a figure; rotations, reflections, translations are all rigid transformations.

What are rigid motion transformations?

Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease.

What are the 4 shape transformations?

The following figures show the four types of transformations: Translation, Reflection, Rotation, and Enlargement.

What are rigid transformations in math?

Which congruence theorem can be used to prove ABC def?

In words, if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent. If in triangles ABC and DEF, angle A = angle D = right angle, AB = DE (leg), and BC = EF (hypotenuse), then triangle ABC is congruent to triangle DEF.

Is area of triangle ABC greater than area of triangle def?

The correct answer is: B. The area of △ABC is equal to the area of △DEF. The areas of triangle ABC and DEF compare because △ABC is equal to the area of △DEF.

Are △ ABC and △ def similar?

sides are equal. Similar Triangles Two triangles △ABC and △DEF are similar (written △ABC ∼ △DEF) if all three corresponding angles are equal.

How do you write a rigid motion?

In order for the movement to be rigid, the pre-image and image must be congruent. If you want to keep moving the same image, add more apostrophes to the letters naming the points after each movement. In this picture, you can see the pre-image of the triangle on the top left. The three points are named A, B, and C.