Question

In the figure, BC||DE Angles_____1.CAF and EFA2.GAC and DFE3.CAF and EFH4.GAB and EFAare congruent______1.By the linear pair Theorem.2. because they are corresponding angles of parallel lines cut by transversal.3. by the vertical angles theorem.4. by the transitive property of congruence.GAC - CAFE because they are corresponding angles of parallel lines cut by a transversal.LAFE - HFD by the Vertical Angles Theorem.GAC - HFD by the_____1. Addition 2. Subtraction3. Substitution4. TransitiveProperty of Congruence.

Answer 1

CAF and EFH are congruent because they are corresponding angles of parallel lines cut by transversal.

Step-by-step explanation:

BC is parallel to DE

Checking the options for angles that are congruent(the same):

1) CAF and EFA

Both angles are not corrsponding angles. They are not equal

2) GAC and DFE are not equal. DFE is a straight line.

3) CAF and EFH are corresponding angles. Hence the angles are congruent.

4) GAB and EFA are not equal. Hence, they are not congruent.

Hence, CAF and EFH are congruent because they are corresponding angles of parallel lines cut by transversal.