IP--Transversals and Angles Pairs

Front

What is a transversal in geometry?

Back

A transversal is a line that intersects two or more other lines at distinct points.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two parallel lines cut by a transversal.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two lines and on opposite sides of a transversal.

Front

What are vertical angles?

Back

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

Front

If two parallel lines are cut by a transversal, what can be said about the alternate exterior angles?

Back

Alternate exterior angles are equal when two parallel lines are cut by a transversal.

Front

How do you find the measure of an angle if you know its relationship with another angle?

Back

Use the properties of angle relationships (e.g., corresponding, alternate interior) to set up an equation and solve for the unknown angle.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

If angle 1 and angle 2 are vertical angles, what can be said about their measures?

Back

Angle 1 and angle 2 are equal in measure.

Front

What is the relationship between the angles formed when a transversal crosses parallel lines?

Back

The angles formed have specific relationships: corresponding angles are equal, alternate interior angles are equal, and same-side interior angles are supplementary.

Front

If m∠A = 3x + 10 and m∠B = 2x + 30, and they are corresponding angles, how do you find x?

Back

Set the equations equal: 3x + 10 = 2x + 30, then solve for x.