Can you use SSA to prove 2 triangle congruent?

Given two sides and non-included angle (SSA) is not enough to prove congruence. You may be tempted to think that given two sides and a non-included angle is enough to prove congruence. But there are two triangles possible that have the same values, so SSA is not sufficient to prove congruence.

Is SSA a reason for congruence?

(Video) Why SSA Does Not Prove Congruence Therefore, SSA (Side-Side-Angle) is NOT a congruence rule.

What is the thing to consider to show that the two triangles are congruent?

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.

What reason can be used to prove that the triangles are congruent?

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Is SAA a congruence theorem?

Angle-Angle-Side (AAS or SAA) Congruence Theorem: If two angles and a non-included side in one triangle are congruent to two corresponding angles and a non-included side in another triangle, then the triangles are congruent.

Why can’t SSA prove triangles congruent?

Knowing only side-side-angle (SSA) does not work because the unknown side could be located in two different places. Knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles.

What is known about two triangles if you have SSA two pairs of sides are congruent and one pair of non included angles is congruent )?

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. This is an extension of ASA.

Which method can be used to show that the two triangles at the right are similar?

Correct answer: By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.

What are the three things we have to apply when proving the congruence of two triangles?

Two triangles are said to be congruent if and only if we can make one of them superpose on the other to cover it exactly. These four criteria used to test triangle congruence include: Side – Side – Side (SSS), Side – Angle – Side (SAS), Angle – Side – Angle (ASA), and Angle – Angle – Side (AAS).

Which congruence theorem can be used to prove triangle ABC is congruent to triangle DEC?

If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. Use the ASA and AAS Congruence Theorems. are congruent. By the ASA Congruence Theorem, △ABC ≅ △DEF.

Which congruence theorem can be used to prove ABC is congruent to DEC?

Vertical Angles Congruence Theorem
You can use the Vertical Angles Congruence Theorem to prove that ABC ≅ DEC. b. ∠CAB ≅ ∠CDE because corresponding parts of congruent triangles are congruent.