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A kite is a quadrilateral with two pairs of adjacent, congruent sides. The vertex angles are those angles in between the pairs of congruent sides. Prove the diagonal connecting these vertex angles is perpendicular to the diagonal connecting the non-vertex angles. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.

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Answer:

Given that an image attached with this prove.


1. AD = AB, CD=CB 1. Given

2. OD = OB 2. By definition, the diagonal connecting vertec angles bisects the other diagonal

3. OA = OA 3. By reflexive property

4. triangle AOB = triangle AOD 4. By SSS congruence

5. angle AOB = angle AOD 5. By CPCTC

6. angle AOB = angle AOD = 90 6. both angles addup to 180

7. AC ⊥ DB 7. definition of right angles



Step-by-step explanation: