Unit 2 Flashcard 1 Review: Parallel Lines, Transversal Angle 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

Define vertical angles.

Back

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

Front

What is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles that form a straight line. Their measures add up to 180 degrees.

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. They are equal when the lines are parallel.

Front

What are alternate exterior angles?

Back

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

Front

How do you solve for x in the equation 12X - 19 + 4X + 1 = 180?

Back

Combine like terms: 16X - 18 = 180. Then, add 18 to both sides: 16X = 198. Finally, divide by 16: X = 12.375.

Front

If m∠1 = (17x + 1)° and m∠2 = (20x - 14)°, how do you find m∠2?

Back

Set m∠1 equal to m∠2 since they are vertical angles: 17x + 1 = 20x - 14. Solve for x, then substitute back to find m∠2.

Front

What does it mean for lines to be skew?

Back

Skew lines are lines that do not intersect and are not parallel. They exist in different planes.

Front

What is the sum of the angles in a linear pair?

Back

The sum of the angles in a linear pair is always 180 degrees.

Front

How do you identify vertical angles in a diagram?

Back

Vertical angles are formed by two intersecting lines and are located opposite each other.