Question

unit 2 formal proofs > lesson 14 more quadrilateral proofs back to intro page 1. ab ≅ cb, ∠abd ≅ ∠cbd quadrilateral abcd 1. given 2. bd ≅ bd 2. reflexive property of congruence 3. δadb ≅ δcdb 3. ____________ 4. ad ≅ cd 4. cpctc 5. abcd is a kite. 5. definition of a kite (a quadrilateral with two pairs of adjacent congruent sides) which reason best completes the proof in step 3? (1 point) definition congruent triangles side - side - side triangle congruence theorem side - angle - side triangle congruence theorem angle - angle - side triangle congruence theorem

Explanation:

We know that $AB\cong CB$ (side), $\angle ABD\cong\angle CBD$ (angle) and $BD\cong BD$ (side). The Side - Angle - Side (SAS) Triangle Congruence Theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. Here, for $\triangle ADB$ and $\triangle CDB$, we have two sides and the included angle congruent.

Answer:

Side - Angle - Side Triangle Congruence Theorem