1. Given: ∠7 ≅ ∠7
Prove: m∠7 = m∠7
Statements:
1. ∠7 ≅ ∠7
2. m∠7 = m∠7
Reasons:
1. Given
2. Definition of congruent angles
2. Given: ∠3 ≅ ∠7
Prove: m∠3 = m∠7
Statements:
1. ∠3 ≅ ∠7
2. m∠3 = m∠7
Reasons:
1. Given
2. Definition of congruent angles
3. Given: m∠4 = m∠7
Prove: ∠4 ≅ ∠7
Statements:
1. m∠4 = m∠7
2. ∠4 ≅ ∠7
Reasons:
1. Given
2. Definition of congruent angles
4. Given: ∠1 and ∠5 are vertical angles
Prove: ∠1 ≅ ∠5
Statements:
1. ∠1 and ∠5 are vertical angles
2. ∠1 ≅ ∠5
Reasons:
1. Given
2. Vertical Angles Congruence Theorem
5. Given: Lines a and b are parallel, transversal c intersects them
Prove: ∠2 ≅ ∠6
Statements:
1. Lines a and b are parallel
2. Transversal c intersects lines a and b
3. ∠2 and ∠6 are corresponding angles
4. ∠2 ≅ ∠6
Reasons:
1. Given
2. Given
3. Definition of corresponding angles
4. Corresponding Angles Postulate
6. Given: Lines a and b are parallel, transversal c intersects them
Prove: ∠3 ≅ ∠7
Statements:
1. Lines a and b are parallel
2. Transversal c intersects lines a and b
3. ∠3 and ∠7 are alternate interior angles
4. ∠3 ≅ ∠7
Reasons:
1. Given
2. Given
3. Definition of alternate interior angles
4. Alternate Interior Angles Theorem
Parent Tip: Review the logic above to help your child master the concept of geometry cpctc worksheet answers key.
