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

In mathematics, reasoning involves drawing logical conclusions based on evidence or stated assumptions. Sense making may be considered as developing understanding of a situation, context, or concept by connecting it with existing knowledge or previous experience.

According to questions, we have the statements and reasons:

Statements are as follows:

1. ABCD is a kite

2. AB ≅ BC

3. BP ≅ BP

4. △ABP ≅ △CBP

5. AP ≅ CP

6. BD bisects AC at point P

Reasons are as follows:

1. given

2. definition of kite

3. reflexive property

4. HL theorem

5. ?

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

Now, we have to find reason number 5.

AP ≅ CP denotes that corresponding parts of congruent triangles are congruent.

Hence, we can conclude that Missing reason in step 5 is Corresponding parts of congruent triangles are congruent.

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