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"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"

What are the missing reasons in the proof GivenABCD with diagonal line segment BD Prove Triangle ABD is congruent to triangle CDB Statements Line segment AB is class=

Respuesta :

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,

AB is ║ to CD( property of parallelogram)

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

BD=BD( Reflexive property),

Parallelogram:

  • AB is parallel to CD( Property of paralleogram),
  • ∠ABD is congruent to ∠CDB( Angles opposite of equal sides are congruent)
  • BD=BD( Reflexive property),
  • So, ΔABD≅ ΔCBD,

Find out more information about the parallelogram here: https://brainly.com/question/1563728?referrer=searchResults

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