Question

Given : angle 1 is congruent to angle 2 . prove : p || q

Answer 1

Answer:

eudora is wrong ^

Step-by-step explanation:

Statements: Reasons:

1). ∠1 = ∠2. 1). given

2). ∠1 and ∠3 are vertical ∠s. 2). def. of vertical ∠s

3). ∠1 = ∠3. 3). vertical angles theorem

4). ∠2 = ∠3. 4). transitive property

5). p ll q. 5). converse of corresponding angles theorem

Answer 2

Answer:

Step-by-step explanation:

Given : ∠1 ≅ ∠2

To prove : p║q

Solution :

In the figure attached,

                Statements                 Reasons

1). m∠1 ≅ m∠2                      1). Given

2) m∠1 ≅ m∠3                      2). Vertical angles

3) m∠2 ≅ m∠3                     3). Transitive property of congruence of the                                                     angles

4). Line p║q                         4). Corresponding angles are equal                                                                                     (m∠2 ≅ m∠3)