Chapter 2 Review Proving Theorems about Angles

Definitions/Postulates/Theorems Adjacent Angles Linear Pair Complementary Angles Supplementary Angles

Proving Theorems about Angles Definitions/Postulates/Theorems Angle Bisector

Proving Theorems about Angles Definitions/Postulates/Theorems Supplementary Angles Theorem Complementary Angles Theorem Linear Pair Postulate (with diagram) Overlapping Angles Theorem (with diagram) Vertical Angles Theorem (with diagram)

Proving Theorems about Angles Definitions/Postulates/Theorems Right Angle Congruence Theorem Angle Addition Postulate (with diagram)

Complete the statement given that m  EHC = m  DHB = m  AHB = 90°.

FIRST write the equation you would use to solve, and then solve for each variable.

Complementary & Supplementary Angles 1. Two angles are complementary. The measure of one angle is 30 degrees more than the measure of the other. Find the measure of each angle.

Complementary & Supplementary Angles 2. The measure of an angle is four times the measure of its complement. Find the measure of the angle.

Complementary & Supplementary Angles 3. The measure of an angle is three times one-half of its complement. Find the measures of the angles.

Complementary & Supplementary Angles 4. Two angles are supplementary. The measure of one angle is six degrees less than the measure of the other. Find the measure of each angle.

Complementary & Supplementary Angles 5. The measure of an angle is four less than the measure of its complement. Find the measure of the angle.

Proof One Copy all and fill in missing reasons. 1.  QVW and  RWV are supplementary  QVP and  QVW are a linear pair  QVP and  QVW are supplementary  QVP ≅  RWV 4.

Proof Two Copy Given, Prove, Diagram with labels and do the proof.

Proof Three Copy Given, Prove, Diagram with labels and do the proof.

Proof Four Copy Given, Prove, Diagram with labels and do the proof.

Proof Five Copy Given, Prove, Diagram with labels and do the proof. 1. m  1 = m  m  2 = m  m  1 + m  2 = m  3 + m  m  1 + m  2 = m  AMC4. 5.m  3 + m  4 =m  GNE5. 6.m  AMC = m  GNE6.

Proof Six Copy Given, Prove, Diagram with labels and do the proof.

Proof Seven Copy Given, Prove, Diagram with labels and do the proof. 1.OB bisects  AOC  1 ≅  m  1 = m  m  2 + m  3 = m  BOD4. 5.m  1 + m  3 = m  BOD5.

Proof Eight Copy Given, Prove, Diagram with labels and do the proof. Given:  AOB ≅  COD Prove:  AOC ≅  BOD 1.  AOB ≅  COD1. 2.  BOC   BOC2. 3.  AOC   BOD3.

Proof Nine Copy Given, Prove, Diagram with labels and do the proof. Given:  BQP ≅  AQT Prove:  BQA ≅  PQT