PROVING STATEMENTS ABOUT ANGLES WORKSHEET

Problem 1 :

Prove the Transitive Property of Congruence for angles.

Problem 2 :

In the diagram shown below, 

m∠3 = 40°, ∠1 ≅ ∠2, ∠2 ≅ ∠3

Prove m∠1 = 40°

Problem 3 :

In the diagram shown below, 

∠1 and ∠2 are right angles

Prove ∠1 ≅ ∠2

Problem 4 :

In the diagram shown below, 

∠1 and ∠2 are supplements,

∠3 and ∠4 are supplements,

∠1 ≅ ∠4

Prove ∠2 ≅ ∠3

Detailed Answer Key

Problem 1 :

Prove the Transitive Property of Congruence for angles.

Solution : 

To prove the Transitive Property of Congruence for angles, begin by drawing three congruent angles. 

Label the vertices as A, B and C.

Given : 

∠A ≅ ∠B

∠B ≅ ∠C

Prove : 

∠A ≅ ∠C

Problem 2 :

In the diagram shown below, 

m∠3 = 40°, ∠1 ≅ ∠2, ∠2 ≅ ∠3

Prove m∠1 = 40°

Solution : 

Problem 3 :

In the diagram shown below, 

∠1 and ∠2 are right angles

Prove ∠1 ≅ ∠2

Problem 4 :

In the diagram shown below, 

∠1 and ∠2 are supplements,

∠3 and ∠4 are supplements,

∠1 ≅ ∠4

Prove ∠2 ≅ ∠3

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