Lines, Transversals, and Angles (SY 24-25)

Front

What are lines, transversals, and angles?

Back

Lines are straight one-dimensional figures that extend infinitely in both directions. A transversal is a line that intersects two or more lines at distinct points. Angles are formed when two lines meet at a point.

Front

Define corresponding angles.

Back

Corresponding angles are pairs of angles that are in the same position at each intersection where a transversal crosses two lines. If the lines are parallel, corresponding angles are equal.

Front

What is the Alternate Interior Angles Theorem?

Back

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

What are alternate exterior angles?

Back

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

Front

Define same-side interior angles (consecutive 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. If the lines are parallel, these angles are supplementary.

Front

What is the Linear Pair of Angles?

Back

A linear pair of angles consists of two adjacent angles formed when two lines intersect. The angles in a linear pair are supplementary, meaning they add up to 180 degrees.

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 in measure.

Front

How do you find the supplement of an angle?

Back

The supplement of an angle is found by subtracting the angle from 180 degrees. For example, the supplement of a 58-degree angle is 180 - 58 = 122 degrees.

Front

What is the relationship between angles formed by a transversal and parallel lines?

Back

When a transversal intersects parallel lines, several angle relationships are established, including corresponding angles, alternate interior angles, and same-side interior angles, which have specific properties regarding their measures.

Front

What is the Corresponding Angles Postulate?

Back

The Corresponding Angles Postulate states that if two parallel lines are cut by a transversal, then each pair of corresponding angles is equal.