Question

Determine which postulate or theorem can be used to prove that triangle ABD is equal to triangle CBD.

Answer 1

Answer:

SAS Congruence Postulate

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Answer 2

SAS postulate theorem.

Congurency of triangles:

• Triangles that are identical in size and shape are said to be congruent triangles.
• Inferred from this is that the matching sides and angles are equal.
• Without checking each of the triangles' sides and angles, we can determine whether the two triangles are congruent.

Rules of congruency for triangles:

1. SSS Criterion - Side-Side-Side.
2. SAS Criterion - Side-Angle-Side.
3. ASA Criterion - Angle-Side- Angle.
4. AAS Criterion -  Angle-Angle-Side.
5. RHS Criterion - Right angle- Hypotenuse-Side.

Solution -

As we can see that Line AD=DC (Given).

∠ADB=∠CDB

Line DB=DB (Common line).

Therefore, we can say that the SAS postulate theorem can be used to prove the triangle ABD+CBD.

Know more about the SAS congruency of triangles here:

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