Geometry
Guided Notes
Proving Quadrilaterals are Parallelograms Proofs
Name: _____________________________
Date: ___________________ Period: ____
X
Given:
Y
∆XYW ≅ ∆ZWY
Prove: XYZW is a parallelogram.
W
Z
___________Statements______________|_____Justifications____________________________
1. ∆XYW ≅ ∆ZWY
1. Given
2. ̅̅̅̅ ≅ ̅̅̅̅̅
2. ___________________________________
3. ̅̅̅̅̅ ≅ ̅̅̅̅
3. __________________________________
4. XYZW is a parallelogram
4. ___________________________________
X
Given:
Y
∆XYW ≅ ∆ZWY
Prove: XYZW is a parallelogram.
W
Z
___________Statements______________|_____Justifications____________________________
1. ∆XYW ≅ ∆ZWY
1. Given
2. ∡XYW ≅ ∡YWZ
2. ___________________________________
3. ̅̅̅̅
3. ___________________________________
̅̅̅̅̅
4. ̅̅̅̅ ≅ ̅̅̅̅̅
4. ___________________________________
5. XYZW is a parallelogram
5. ___________________________________
Geometry
Guided Notes
Proving Quadrilaterals are Parallelograms Proofs
Given:
Name: _____________________________
Date: ___________________ Period: ____
B
∆ABE ≅ ∆CDE
C
E
Prove: ABCD is a parallelogram.
A
D
___________Statements______________|_____Justifications____________________________
1. ∆ABE ≅ ∆CDE
1. Given
2. ̅̅̅̅ ≅ ̅̅̅̅
2. ___________________________________
3. ̅̅̅̅ ≅ ̅̅̅̅
3. ___________________________________
4. ABCD is a parallelogram
4. ___________________________________