Question

Given: Lines p and q are parallel and r is a transversal.

Answer 1

Answer:

The statement A is Angle 2 is congruent to angle 3

The statement is Angle 3 is congruent to angle 7

Step-by-step explanation:

The given information are;

The given parallel lines = p and q

The given transversal = r

The angles from the top left at the intersection of p and r = 1, 2, 4, 3

The angles from the top left at the intersection of q and r = 5, 6, 8, 7

The 2-column table is presented as follows;

Statement ${}$                                                          Reasons

p is parallel to q and r is a transversal ${}$             Given

A ${}$                                                                          Vertical angles are congruent

B ${}$                                                                          Correlated angle theorem

Angle 2 is congruent to angle 7 ${}$                        Transitive property

We have the orientation of the angles given as follows;

1, 2

3, 4

5, 6

7, 8

Therefore, we have;

A = Angle 2 is congruent to angle 3 ${}$   Vertical angles are congruent

B = Angle 3 is congruent to angle 7  ${}$   Correlated angle theorem

To give;

Statement ${}$                                                          Reasons

p is parallel to q and r is a transversal ${}$             Given

Angle 2 is congruent to angle 3 ${}$                       Vertical angles are congruent

Angle 3 is congruent to angle 7 ${}$                       Correlated angle theorem

Angle 2 is congruent to angle 7 ${}$                       Transitive property

Answer 2

Answer:

A: Angle 2 is congruent to angle 3

B: Angle 3 is congruent to angle 7

Step-by-step explanation: I just took the quiz :)))