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(1) corresponding, (2) congruent

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Q: What- Complete the Angle-Angle-Side Congruence Theorem.If two angles and a non-included side of one triangle are congruent to two angles and a (1) _____ non-included side of another triangle, then the triangles are (2)?
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What are the 2 triangle congruence theorems?

The two triangle congruence theorems are the AAS(Angle-Angle-Side) and HL(Hypotenuse-Leg) congruence theorems. The AAS congruence theorem states that if two angles and a nonincluded side in one triangle are congruent to two angles and a nonincluded side in another triangle, the two triangles are congruent. In the HL congruence theorem, if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the two triangles are congruent.


What is the Symmetric Property of Congruence?

The Symmetric Property of Congruence: If angle A is congruent to angle B, then angle B is congruent to angle A. If X is congruent to Y then Y is congruent to X.


Transitive property of congruence if a congruence x and t Then?

If angle A is congruent to angle B, then angle B is congruent to angle A.If X is congruent to Y then Y is congruent to X.


What are the four congruence theorems for a right triangle?

The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.


If two figures are congruent then they are similar?

Yes. Congruence implies similarity. Though similarity is not enough for congruence.

Related questions

What are the 2 triangle congruence theorems?

The two triangle congruence theorems are the AAS(Angle-Angle-Side) and HL(Hypotenuse-Leg) congruence theorems. The AAS congruence theorem states that if two angles and a nonincluded side in one triangle are congruent to two angles and a nonincluded side in another triangle, the two triangles are congruent. In the HL congruence theorem, if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the two triangles are congruent.


What is the Symmetric Property of Congruence?

The Symmetric Property of Congruence: If angle A is congruent to angle B, then angle B is congruent to angle A. If X is congruent to Y then Y is congruent to X.


Transitive property of congruence if a congruence x and t Then?

If angle A is congruent to angle B, then angle B is congruent to angle A.If X is congruent to Y then Y is congruent to X.


What are the four congruence theorems for a right triangle?

The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.


If two figures are congruent then they are similar?

Yes. Congruence implies similarity. Though similarity is not enough for congruence.


Is a quadrilateral congruent?

A single object cannot be congruent. Congruence is a property of two or more objects.


What are the examples of sss congruence?

sss is when the 3 sides are congruent. all 3 angles are congruent


Equal angles are always congruent?

Yes, that is what congruence of angles means!


Why is a line segment congruent to itself?

Reflexive Property of Congruence


What is reflexives Property of Congruence?

The reflexive property states that A is congruent to A.


What is reflexive property congruence?

The reflexive property states that A is congruent to A.


How do you do proof of congruence?

Congruent shapes are identical in size and angles