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Murljashka [212]
2 years ago
7

Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options

Mathematics
2 answers:
Mashcka [7]2 years ago
8 0

Answer:

SAS , ASA, SSS

Step-by-step explanation:

SAS , side A= side A . Angle B= Angle C, side R= side R

ASA, Angle A= Angle A . Side B= side C, Angle R= Angle R

SSS

side A= side A . Side B= side c, side R= side R

Leokris [45]2 years ago
7 0

Answer:

<h2>They are congruent by SAS postulate.</h2>

Step-by-step explanation:

Choice for this question are

  • HL
  • SAS
  • SSS
  • ASA
  • AAS

In the image attached, you can observe the pairs of triangles we are talking about. Notice that they are right triangles, which means the congruence postulates we could use are Hypothenuse-Leg, Leg-Leg, Leg-Angle and Hypothenuse Angle, however, this choices are not useful.

We know by given that

AC \cong AB and RC \cong RB

We also know that \angle B \cong \angle C

So, we have two corresponding sides congruent, and the pair of corresponding angle formed by those sides are also congruent.

Therefore, by Side-Angle-Side

\triangle ABR \cong \triangle ACR

So, the right answer is SAS.

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