Complete the Proof Quadrilaterals

Given this information, which quadrilateral is proven?

• Parallelogram

• Rectangle

• Rhombus

• Square

Given this information, which quadrilateral is proven?

• Parallelogram

• Rectangle

• Rhombus

• Square

Fill in the missing reasons for the proof.

• 5) Alternate Interior angles are congruent; 6) ASA

• 5) Alternate Interior angles are congruent; 6) AAS

• 5) Vertical Angles are congruent; 6) ASA

• 5) Vertical Angles are congruent; 6) AAS

In the given proof, what is the reason for step 2?

• Alternate Exterior Angle are Congruent

• Reflexive Property of Congruence

• Angles that form a linear pair are supplementary.

• Alternate Interior Angles are Congruent.

Which statement fully proves that this quadrilateral is a square?

• Opposite sides are congruent and all angles are 90 degrees

• All sides are congruent and all angles are 90 degrees

• All sides are congruent and adjacent angles are supplementary

• All angles are congruent and opposite sides are congruent

Parallelograms are

• Triangles

• Trapezoids

• Quadrilaterals

• Hexagons

Determine the correct reason for statement #4.

• opposite sides of a parallelogram are congruent theorem

• all sides are parallel

• sides are congruent

• sides are supplementary

Fill in the Reason

• Opposite sides of a parallelogram are congruent.

• definition of parallelogram

• Prove

• CPCTC

Is the quadrilateral a parallelogram? If yes, state how you know.

• Opposite sides equal

• Diagonals bisect each other

• Opposite angles equal

• Not enough info

What is reason #3? Make sure you write-in the reasons on your proofs.

• Definition of a parallelogram

• Definition of a quadrilateral

• Opposite sides are congruent property

• Opposite sides are supplementary