Question: If two lines are parallel, what can be said about the alternate interior angles?
Options:
They are equal
They are supplementary
They are complementary
They are congruent
Correct Answer: They are equal
Solution:
When two parallel lines are cut by a transversal, the alternate interior angles are equal.
If two lines are parallel, what can be said about the alternate interior angles?
Practice Questions
Q1
If two lines are parallel, what can be said about the alternate interior angles?
They are equal
They are supplementary
They are complementary
They are congruent
Questions & Step-by-Step Solutions
If two lines are parallel, what can be said about the alternate interior angles?
Step 1: Understand what parallel lines are. Parallel lines are two lines that never meet and are always the same distance apart.
Step 2: Know what a transversal is. A transversal is a line that crosses two or more other lines.
Step 3: Identify the alternate interior angles. These are the angles that are on opposite sides of the transversal and inside the two parallel lines.
Step 4: Remember the rule: When two parallel lines are cut by a transversal, the alternate interior angles are equal.
Parallel Lines and Transversals – When two parallel lines are intersected by a transversal, certain angle relationships are established, including that alternate interior angles are equal.
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