Algebra Angle Relationships Flashcards

Angle Relationships in Algebra

• Vertical Angles: Formed by intersecting lines, these angles are opposite each other and are congruent.

• Complementary Angles: Two angles whose measures sum to 90 degrees; they complement each other.

• Supplementary Angles: Two angles whose measures sum to 180 degrees; they supplement each other.

• Linear Pair: Adjacent angles that together form a straight line, making them supplementary and their sum equals 180 degrees.

• Congruent Angles: Angles that have equal measures, indicating that they preserve size and shape.

• Transversal: A line that crosses two or more parallel lines, creating various angle relationships.

• Parallel Lines: Lines that never meet or intersect, maintaining consistent distance apart.

• Corresponding Angles: Pairs of angles in the same position across two parallel lines cut by a transversal; these angles are congruent.

• Alternate Exterior Angles: Angles that are on opposite sides of the transversal and located outside the parallel lines; these angles are congruent.

• Alternate Interior Angles: Angles on opposite sides of the transversal and inside the parallel lines; these angles are congruent.

• Same Side Interior Angles: Two angles located on the same side of the transversal within the parallel lines; they are supplementary and their measures equal 180 degrees.

• Triangle Sum Property: The sum of the interior angles in a triangle is always 180 degrees.

• Same Side Exterior Angles: Two angles on the same side of the transversal but located outside of the parallel lines; these angles are supplementary and their measures equal 180 degrees.

• Quadrilateral: A four-sided figure where the sum of all interior angles equals 360 degrees.