math practice test

angle pairs

What are complementary angles?

Two angles whose measures add up to 90 degrees.

What are supplementary angles?

Two angles whose measures add up to 180 degrees.

What defines adjacent angles?

Two angles that share a common side and a common vertex but do not overlap.

What are vertical angles?

The opposite (non-adjacent) angles formed when two lines intersect, which are always congruent.

What is a linear pair?

A pair of adjacent angles whose non-common sides form a straight line, making them supplementary.

How are corresponding angles defined?

Angles in the same relative position at each intersection when two parallel lines are cut by a transversal; these angles are congruent.

What are alternate interior angles?

Angles on opposite sides of the transversal and inside the parallel lines, which are congruent.

What characterizes alternate exterior angles?

Angles on opposite sides of the transversal and outside the parallel lines, which are also congruent.

What are consecutive interior angles?

Angles on the same side of the transversal and inside the parallel lines, which are supplementary.

What distinguishes exterior angles in a polygon?

Angles formed outside a polygon when one side is extended; in triangles, an exterior angle equals the sum of the two non-adjacent interior angles.

How is the sum of interior angles in a triangle defined?

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

What does the Corresponding Angles Postulate state?

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

What does the Alternate Interior Angles Theorem state?

If two parallel lines are cut by a transversal, each pair of alternate interior angles is congruent.

What does the Consecutive Interior Angles Theorem state?

If two parallel lines are cut by a transversal, each pair of consecutive interior angles is supplementary.

What is a transversal?

A line that intersects two or more lines at distinct points.

What are perpendicular lines?

Two lines that intersect to form right angles (90 degrees).

What are oblique lines?

Lines that intersect but do not form right angles.

What is the key property of the angles that form a linear pair?

They are always supplementary.

What is the angle sum property for polygons?

For a polygon, the sum of the interior angles can be calculated using the formula: (n - 2) × 180 degrees, where n is the number of sides.