Extra Credit: Geometry 2-2_Proving Lines Parallel

Front

What is the Corresponding Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of corresponding angles is equal.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are in the same plane and do not intersect, no matter how far they are extended.

Front

If ∠1 and ∠2 are corresponding angles, what can be said about their measures if lines ℓ and m are parallel?

Back

∠1 ≅ ∠2 (they are equal in measure).

Front

What is the relationship between alternate interior angles when two lines are parallel?

Back

Alternate interior angles are equal when two lines are parallel.

Front

If two angles are supplementary, what is the sum of their measures?

Back

The sum of their measures is 180°.

Front

How can you determine if two lines are parallel using angle measures?

Back

If the corresponding angles or alternate interior angles are equal, the lines are parallel.

Front

Solve for x: If ∠A = 3x + 10° and ∠B = 2x + 30°, and ∠A and ∠B are corresponding angles, what is x?

Back

x = 4.

Front

Find the unknown angle: If ∠C = 2x + 20° and ∠D = 3x - 10°, and lines are parallel, what is ∠C?

Back

∠C = 56°.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180°.

Front

If two lines are cut by a transversal and the alternate exterior angles are equal, what can be concluded about the lines?

Back

The lines are parallel.