Question

Which plan to prove ∆ABD ≅ ∆CBD CANNOT be used based on the information in the diagram?

Answer 1

The plan that cannot be used to prove that the two triangles are congruent based in the given information is: b. ASA.

How to Prove Two Triangles are Congruent?

The following theorems can be used to prove that two triangles are congruent to each other:

• SSS: This theorem proves that two triangles are congruent when there's enough information showing that they have three pairs of sides that are congruent to each other.
• ASA: This theorem shows that of two corresponding angles of two triangles and a pair of included congruent sides are congruent to each other.
• SAS: This theorem shows that if two triangles have two pairs of sides and a pair of included angle that are congruent, then both triangles are congruent to each other.

The two triangles only have a pair of corresponding congruent angles, while all three corresponding sides are shown to be congruent to each other.

This means that ASA which requires two pairs of congruent angles, cannot be used to prove that both triangles are congruent.

The answer is: b. ASA.

Learn more about congruent triangles on:

brainly.com/question/1675117

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