Verticle Angles Theorem
- Author:
- Mariah
- Topic:
- Angles
Vertical Angles Theorem: Vertical angles are congruent.
Given: Angle CEB and angle AED are vertical angles.
Prove: Angle CEB and angle AED are congruent.
Statements:
1. Angle CEB and angle AED are vertical angles.
2. The measure of angle CEB + the measure of angle BED equals to 180 degrees. The measure of angle AED + the measure of angle BED equals to 180 degrees.
3. The measure of angle CEB + the measure of angle BED equals to the measure of angle AED + the measure of angle BED.
4. The measure of angle CEB equals to the measure of angle AED
5. The measure of angle CEB equals to the measure of angle AED
Reasons:
1. Given
2. Angle Addition Postulate
3. Substitution Property
4. Subtraction Property
5. Definition of Congruence