Question

Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options. Triangles A B R and A C R share side A R. Angles A B R and A C R are right angles. Sides A B and A C are congruent. Sides B R and C R are congruent. HL SAS SSS ASA AAS

Answer 1

Answer:

A. HL

B. SAS

C. SSS

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Answer 2

The triangles can be proved congruent by HL, SSS, and SAS congruence, the correct option is A, B, and C.

What is a Right Angled Triangle?

A right triangle is a triangle in which the measure of one of the angles is 90 degrees.

The triangle given is are triangles ABR and ACR

They share a common side AR

∠ABR = ∠ACR = 90 degree.

AB ≅ AC

BR ≅ CR

The triangles can be proved congruent by,

HL- Height Length congruence for a right-angle triangle

SSS -  All the sides are equal and,

SAS - The two sides and the included angle is equal.

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