143k views
3 votes
AB is parallel to DE

.
.
CO
Alicia noticed that:
ZwLx
Ly La
.
B
.
A
w
I
F
E
D
Note: Alicia used the following theorems:
When a transversal crosses parallel lines, alternate interior angles are congruent.
Vertical angles are congruent
Choose 1 answer
A.Angles that form a linear pair are complementary
B. when a transversal crosses parallel lines same side interior angles are congruent
C. when a transversal crosses parallel lines alternate exterior angles are supplementary
D. when a transversal crosses parallel lines corresponding angles are congruent to.

AB is parallel to DE . . CO Alicia noticed that: ZwLx Ly La . B . A w I F E D Note-example-1
User Edx
by
6.7k points

1 Answer

5 votes

Answer:

D. When a transversal crosses parallel lines, the corresponding angles are congruent.

Explanation:

This is quite self-explanatory. It is pretty well-explained in the textbook if you're looking for guidance, practice, or more help.

You need to remember these four theorems:

- Corresponding Angles Theorem

- If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

- Alternate Interior Angles Theorem

- If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

- Alternate Exterior Angles Theorem

- If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.

- Consecutive Interior Angles Theorem

- If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

User ArtBIT
by
6.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.