What single rigid motion can move the solid figure into the dashed figure?

What single rigid motion can move the solid figure into the dashed figure?

rotation

Is the image congruent to the Preimage?

Because the image of a figure under a translation, reflection, or rotation is congruent to its preimage, translations, reflections, and rotations are examples of congruence transformations. A congruence transformation is a transformation under which the image and preimage are congruent.

How do you describe a congruence transformation?

Congruence Transformations Another name for a rigid motion or a combination of rigid motions is a congruence transformation because the preimage and image are congruent.

What are the six congruence statements?

But we don’t have to know all three sides and all three angles …usually three out of the six is enough. There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.

Are a shape and its mirror image congruent?

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object.

Does SSS prove congruence?

Side-Side-Side (SSS) Rule Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Is aas a congruence theorem?

Whereas the Angle-Angle-Side Postulate (AAS) tells us that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Is AAS same as SAA?

The sum of the measures of angles in a triangle is 180∘ . Therefore, if two corresponding pairs of angles in two triangles are congruent, then the remaining pair of angles is also congruent. So the triangles are congruent. …

What is SSA congruence rule?

The acronym SSA (side-side-angle) refers to the criterion of congruence of two triangles: if two sides and an angle not include between them are respectively equal to two sides and an angle of the other then the two triangles are equal.

What is SSS SAS ASA and AAS congruence?

SSS (side-side-side) All three corresponding sides are congruent. SAS (side-angle-side) Two sides and the angle between them are congruent. ASA (angle-side-angle)

Is SAA a similarity theorem?

For the configurations known as angle-angle-side (AAS), angle-side-angle (ASA) or side-angle-angle (SAA), it doesn’t matter how big the sides are; the triangles will always be similar. These configurations reduce to the angle-angle AA theorem, which means all three angles are the same and the triangles are similar.

Is AAA test of similarity?

Triangle Similarity Test AAA. All corresponding angles equal Definition: Triangles are similar if the measure of all three interior angles in one triangle are the same as the corresponding angles in the other. This (AAA) is one of the three ways to test that two triangles are similar .

Is SSA a criterion for congruence of triangle?

What is HYL congruence theorem?

What is Hypotenuse Leg Theorem? The hypotenuse leg theorem is a criterion used to prove whether a given set of right triangles are congruent. The hypotenuse leg (HL) theorem states that; a given set of triangles are congruent if the corresponding lengths of their hypotenuse and one leg are equal.

How do you find HL?

1. The longest side of a right triangle is called its hypotenuse.
2. The HL Theorem states; If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.