What are the missing reasons in the proof given abcd with diagonal bd

Asked by maham237 @ 27/12/2020 in Mathematics viewed by 309 People

"What are the missing reasons in the proof?
Given:▱ABCD with diagonal line segment BD
Prove: Triangle ABD is congruent to triangle CDB
Statements:

Line segment AB is parallel to line segment CD

Angle ABD is congruent to angle CDB

Triangle ABD is congruent to triangle CDB"

Answered by maham237 @ 27/12/2020

Answer:

AB is ║ to CD( property of parallelogram)

∠ABD is congruent to ∠CDB( Angles opposite of equal sides are congruent)

BD=BD( Reflexive property),

Step-by-step explanation:

Given: ABCD is a parallelogram with diagonal line segment BD.

Proof: In ΔABD and ΔCBD,we have:

AB is parallel to CD( Property of paralleogram),

∠ABD is congruent to ∠CDB( Angles opposite of equal sides are congruent)

BD=BD( Reflexive property),

Therefore, ΔABD≅ ΔCBD,

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