Geometry Unit 2 Test Flashcards

Questions and Answers

What does the Congruent Complement Theorem state?

Two angles complementary to the same angle are congruent. (correct)

Two angles that sum up to 180 degrees are congruent.

Two angles that are supplementary to the same angle are congruent.

Two angles that sum up to 90 degrees are congruent.

What does the Congruent Supplements Theorem state?

Two angles that are complementary to the same angle are congruent.

Two angles opposite each other are supplementary.

Two angles that are supplementary to the same angle are congruent. (correct)

Two angles that are vertical are always equal.

What does the Segment Addition Postulate state?

If B is between A and C, then AB + BC = AC.

Provide the Definition of Midpoint.

If B is the midpoint of AC, then AB = BC. Signup and view all the answers

What is the Definition of Angle Bisector?

If a ray bisects an angle, then it divides the angle into two congruent angles. Signup and view all the answers

What does the Definition of Vertical Angles state?

Non-adjacent angles formed by two intersecting lines. Signup and view all the answers

What are Complementary Angles?

Two angles whose sum is 90 degrees. Signup and view all the answers

What are Supplementary Angles?

Two angles whose sum is 180 degrees. Signup and view all the answers

What does the Vertical Angles Theorem state?

If two angles are vertical angles, then they are congruent. Signup and view all the answers

What is the Definition of Perpendicular Lines?

Two lines that intersect to form a right angle. Signup and view all the answers

All right angles are congruent.

True Signup and view all the answers

The Congruent Complements Theorem states that if two angles are complementary to the same angle, they are congruent.

True Signup and view all the answers

The Linear Pair Postulate states that if two angles form a linear pair, they are never supplementary.

False Signup and view all the answers

Study Notes

Theorems and Postulates

Congruent Complement Theorem: States that if two angles each complement a third angle, those two angles are congruent.
Congruent Supplements Theorem: States that if two angles each supplement a third angle, those two angles are congruent.
Segment Addition Postulate: If point B lies between points A and C, then the lengths satisfy the relationship AB + BC = AC.
Angle Addition Postulate: Explains how the sum of the measures of two angles that share a common side must equal the measure of the whole angle formed.
Linear Pair Postulate: If two angles form a linear pair (sharing a vertex and a side), then their measures add up to 180 degrees.

Definitions

Midpoint: A point B is the midpoint of segment AC if the lengths AB and BC are equal.
Angle Bisector: A ray that divides an angle into two equal parts creates two congruent angles.
Vertical Angles: These are the angles opposite each other when two lines intersect, and they are always congruent.
Complementary Angles: Two angles that add up to 90 degrees are termed complementary.
Supplementary Angles: Two angles that add up to 180 degrees are referred to as supplementary.
Perpendicular Lines: Defined as two lines that intersect to create a right angle.
Right Angle Congruence Theorem: States that all right angles are congruent to one another.

Key Concepts

Vertical angles are always congruent, providing a basis for angle relationships in intersecting lines.
The properties of complementary and supplementary angles are crucial for solving numerous geometric problems.

Description

This quiz features flashcards that cover key concepts in Geometry Unit 2. Learn the important theorems and postulates such as the Congruent Complement Theorem and Segment Addition Postulate through interactive flashcards. Ideal for students preparing for their upcoming geometry test.