Chapter 2 Review

Proving Theorems about Angles

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 mEHC = mDHB = mAHB = 90°.

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

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. 1.

2. QVP and QVW are a linear pair. 2.

3. QVP and QVW are supplementary. 3.

4. QVP ≅ RWV 4.

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

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

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

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

1. m1 = m4 1.

2. m2 = m3 2.

3. m1 + m2 = m3 + m4 3.

4. m1 + m2 = mAMC 4.

5. m3 + m4 =mGNE 5.

6. mAMC = mGNE 6.

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

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

1. OB bisects AOC. 1.

2. 1 ≅ 2 2.

3. m1 = m2 3.

4. m2 + m3 = mBOD 4.

5. m1 + m3 = mBOD 5.

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

Given: AOB ≅ CODProve: AOC ≅ BOD

1. AOB ≅ COD 1.

2. BOC BOC 2.

3. AOC BOD 3.

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

Given: BQP ≅ AQTProve: BQA ≅ PQT