Question

Given: C is the midpoint of AE and BD. Prove: ?ABC ? ?EDC A D C E B STATEMENTS 1. C is the midpoint of AE and BD. 2. ?ACB ? ?ECD 3. AC ? EC, BC ? DC 4. ?ABC ? ?EDC Word Bank: Corresponding Angles Theorem Definition of Midpoint Transitive Property of Congruence SSS Congruence Theorem Reflexive Property of Congruence ASA Congruence Theorem Vertical Angles Congruence Theorem SAS Congruence Theorem Alternate Interior Angles Theorem Blank 1: Blank 2: Blank 3:

          Given: C is the midpoint of AE and BD.
Prove: ?ABC ? ?EDC
A D C E B
STATEMENTS
1. C is the midpoint of AE and BD.
2. ?ACB ? ?ECD
3. AC ? EC, BC ? DC
4. ?ABC ? ?EDC
Word Bank:
Corresponding Angles Theorem Definition of Midpoint
Transitive Property of Congruence SSS Congruence Theorem
Reflexive Property of Congruence ASA Congruence Theorem
Vertical Angles Congruence Theorem SAS Congruence Theorem
Alternate Interior Angles Theorem
Blank 1:
Blank 2:
Blank 3:

Given: C is the midpoint of AE and BD.
Prove: ?ABC ? ?EDC
A D C E B
STATEMENTS
1. C is the midpoint of AE and BD.
2. ?ACB ? ?ECD
3. AC ? EC, BC ? DC
4. ?ABC ? ?EDC
Word Bank:
Corresponding Angles Theorem Definition of Midpoint
Transitive Property of Congruence SSS Congruence Theorem
Reflexive Property of Congruence ASA Congruence Theorem
Vertical Angles Congruence Theorem SAS Congruence Theorem
Alternate Interior Angles Theorem
Blank 1:
Blank 2:
Blank 3:

Added by Gonzalo C.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Allison Knapp

03/15/2023

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Given: C is the midpoint of AE and BD. Prove: ∆ABC ≅ ∆EDC STATEMENTS 1. C is the midpoint of AE and BD. 2. ∠ACB ≅ ∠ECD 3. AC ≅ EC, BC ≅ DC 4. ∆ABC ≅ ∆EDC