Concept Check 3.1/3.2 per 2

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What is the relationship between alternate exterior angles?

Back

Alternate exterior angles are pairs of angles that lie outside the two lines and on opposite sides of the transversal. They are equal when the lines are parallel.

Front

What are same side interior angles?

Back

Same side interior angles are pairs of angles that lie between the two lines and on the same side of the transversal. They are supplementary when the lines are parallel.

Front

What is the definition of alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between the two lines and on opposite sides of the transversal. They are equal when the lines are parallel.

Front

How can you identify vertical angles in a diagram?

Back

Vertical angles can be identified as the angles that are opposite each other at the intersection of two lines.

Front

What is the relationship between ∠2 and ∠7 if they are alternate exterior angles?

Back

If ∠2 and ∠7 are alternate exterior angles, they are equal when the lines are parallel.

Front

What is the sum of same side interior angles when the lines are parallel?

Back

The sum of same side interior angles is 180 degrees when the lines are parallel.

Front

What is the significance of identifying angle relationships in geometry?

Back

Identifying angle relationships helps in solving problems related to parallel lines, transversals, and determining unknown angle measures.

Front

What is the relationship between ∠1 and ∠8 if they are claimed to be alternate interior angles?

Back

If ∠1 and ∠8 are claimed to be alternate interior angles but are not equal, then the lines are not parallel.

Front

How do you determine if two lines are parallel using angle relationships?

Back

If alternate interior angles are equal or if same side interior angles are supplementary, then the two lines are parallel.