GEOMETRY : Two-Column Proofs Problems and Solutions

Problem 1 :

Given : AB ≅ BC and D is the midpoint of AC.

Prove : BD bisects ∠ABC.

Solution :

Problem 2 :

Given : AD ≅ AE and ∠B ≅ ∠C.

Prove : BE ≅ CD.

Solution :

Problem 3 :

Given ΔACE ≅ ΔBCE.

Prove : ΔACD ≅ ΔBCD.

Solution :

Problem 4 :

Given : BD bisects ∠ABC and BD bisects ∠ADC.

Prove : AD ≅ CD.

Solution :

Problem 5 :

Given : BA ≅ BC and AE ≅ CD.

Prove : BE ≅ BD.

Solution :

Problem 6 :

Given :

D is the midpoint of AC

BA ≅ BC

∠EDA ≅ ∠FDC

Prove : ΔAED ≅ ΔCFD.

Solution :

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