Algebra Angle Relationships Flashcards

Questions and Answers

What are vertical angles?

Opposite angles formed by intersecting lines and are congruent.

What do complementary angles sum to?

90 degrees

What do supplementary angles sum to?

180 degrees

What is a linear pair?

A pair of adjacent, supplementary angles whose sum equals 180 degrees. Signup and view all the answers

What does the term congruent refer to in angles?

Angles that have the same measurement. Signup and view all the answers

What is a transversal?

A line that intersects two or more parallel lines. Signup and view all the answers

What defines parallel lines?

Lines that never intersect or cross. Signup and view all the answers

What are corresponding angles?

Angles that have the same position on 2 different parallel lines cut by a transversal and are congruent. Signup and view all the answers

What are alternate exterior angles?

Angles that lie on opposite sides of the transversal outside the parallel lines and are congruent. Signup and view all the answers

What are alternate interior angles?

Angles that lie on opposite sides of the transversal inside the parallel lines and are congruent. Signup and view all the answers

What are same side interior angles?

Two interior angles that lie on the same side of the transversal inside the parallel lines, supplementary and equal 180 degrees. Signup and view all the answers

What is the triangle sum property?

All three interior angles add up to 180 degrees. Signup and view all the answers

What are same side exterior angles?

Two exterior angles that lie on the same side of the transversal outside the parallel lines, supplementary and equal to 180 degrees. Signup and view all the answers

What is the sum of the angles of a quadrilateral?

360 degrees. Signup and view all the answers

Study Notes

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.

Description

This quiz covers essential definitions related to angle relationships in algebra. Explore concepts like vertical, complementary, and supplementary angles to strengthen your understanding. Perfect for students seeking to solidify their knowledge of geometry basics.