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Given: Quadrilateral ABCD is a kite.
Prove: ΔAED ≅ ΔCED

It is given that quadrilateral ABCD is a kite. We know that line AD ≅ line CD by the definition of (1)_____. By the kite diagonal theorem, line AC is (2)_____ to line BD This means that angles AED and CED are right angles. We also see that line ED ≅ line ED by the (3)_____ property. Therefore, we have that ΔAED ≅ ΔCED by (4)_____.

1. a) kite
b) congruent
c) quadrilateral

2. a) congruent
b) parallel
c) perpendicular

3. a) congruency
b) reflexive
c) substitution

4. a) AAS
b) HL
c) SAS

Given Quadrilateral ABCD is a kite Prove ΔAED ΔCED It is given that quadrilateral ABCD is a kite We know that line AD line CD by the definition of 1 By the kite class=

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jcherry99

Answer:


Step-by-step explanation:

One

The definition of a kite.

Two

Perpendicular. The diagonals meet at right angles

Three

I don't know if the term is still used, but when I first learned this material (many years ago) we called it the reflexive property.

Four

You found out that <AED = <CED which established that both are right angles. The problem is, you do not have enough information to prove SAS.

AAS is never a dependable reason for proving anything conguent.

HL is really your only choice.

shristiparmar1221

In this question we have to prove the ΔAED ≅ ΔCED by filling up the appropriate option.

Given that :

Quadrilateral ABCD is a kite.

Prove :

ΔAED ≅ ΔCED

  • It is given that quadrilateral ABCD is a kite. We know that line AD ≅ line CD by the definition of (1)__kite___.

  • By the kite diagonal theorem, line AC is (2)_perpendicular_ to line BD This means that angles AED and CED are right angles.

          Reason:  The diagonals intersect at right angles.

  • We also see that line ED ≅ line ED by the (3)__reflexive___ property.  

         Reason: Reflexive property of equality means that anything is equal                                    to itself.    

  • Therefore, we have that ΔAED ≅ ΔCED by (4)__SAS__.

         Reason: SAS rule states that, if two sides and the one angle of one            triangle are equal to 2 sides and 1 angle of other triangle , then the triangles   are congruent.

For more details, prefer this link;

https://brainly.com/question/25875846

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