#1
STATEMENTS
1. AB ≅ CD, AD ≅ CB
2. BD ≅ BD
3. △ABD ≅ △CDB
REASONS
1. Given
2. Reflexive Property of Congruence
3. SSS (Side-Side-Side) Congruence Postulate
#2
STATEMENTS
1. AB ≅ CD, AD ≅ CB
2. BD ≅ BD
3. △ABD ≅ △CDB
REASONS
1. Given
2. Reflexive Property of Congruence
3. SSS (Side-Side-Side) Congruence Postulate
#3
STATEMENTS
1. AB ≅ CD, AD ≅ CB
2. ∠A ≅ ∠C
3. △ABD ≅ △CDB
REASONS
1. Given
2. Given
3. SAS (Side-Angle-Side) Congruence Postulate
#4
STATEMENTS
1. AB ≅ CD, AD ≅ CB
2. ∠ADB ≅ ∠CBD
3. △ABD ≅ △CDB
REASONS
1. Given
2. Given
3. SAS (Side-Angle-Side) Congruence Postulate
#5
STATEMENTS
1. AC ⊥ BD
2. ∠AMB ≅ ∠CMD
3. AM ≅ CM
4. △AMB ≅ △CMD
REASONS
1. Given
2. Vertical Angles Theorem
3. Given
4. SAS (Side-Angle-Side) Congruence Postulate
#6
STATEMENTS
1. AB ≅ CD, AD ≅ CB
2. ∠A ≅ ∠C
3. △ABD ≅ △CDB
REASONS
1. Given
2. Given
3. SAS (Side-Angle-Side) Congruence Postulate
Parent Tip: Review the logic above to help your child master the concept of geometric proofs worksheet with answers.