Question

given: abcd is a kite. prove: bd bisects ac. what is the missing reason in step 5? statements reasons 1. abcd is a kite 1. given 2. ab ≅ bc, bp ⊥ ac 2. definition of kite 3. bp ≅ bp 3. reflexive property 4. △abp ≅ △cbp 4. hl theorem 5. ap ≅ cp 5.? 6. bd bisects ac at point p 6. definition of bisect corresponding parts of congruent triangles are congruent corresponding parts of similar triangles are congruent diagonals of a kite are congruent adjacent sides of a kite are congruent

Explanation:

Since $\triangle ABP\cong\triangle CBP$, the corresponding parts of these congruent triangles are congruent. So, the reason for $AP\cong CP$ is that corresponding parts of congruent triangles are congruent.

Answer:

corresponding parts of congruent triangles are congruent