Parallelograms Geometry

Which is NOT a property of a parallelogram?

• Diagonals bisect each other

• Diagonals are congruent

• Both pairs of opposite sides are parallel

• Both pairs of opposite angles are congruent

The opposite angles of a parallelogram are ...

• complementary

• congruent

• supplementary

• perpendicular

In a parallelogram, consecutive angles are __________.

• congruent

• supplementary

• corresponding

• parallel

In a parallelogram, diagonals are __________.

• perpendicular

• bisected

• congruent

• parallel

Prove that if a quadrilateral is a parallelogram, then the opposite sides are congruent.

• parallel

• Alternate Interior Angles Theorem.

• Reflexive Property.

• ASA≅

• Corresponding Parts of Congruent Triangles are Con

State which theorem you can use to show that the quadrilateral is a parallelogram.​

• Parallelogram Opposite Angles Converse

• Parallelogram Opposite Sides Converse

• Opposite Sides Parallel and Congruent Theorem

• Definition of a Parallelogram

• Parallelogram Diagonals Converse

Determine if the following quadrilaterals are parallelograms by using one of the listed reasons.

d

f

b

g

c

h

F!

F.

B

D

E

F

A

C

Drag the options to complete the proof.

a

b

c

d

e

IJKH is parllgm

Diagonals bisect in a parallelogram

Given

Definition of a Midpoint

L midpt IK & HJ

Determine the property being used to solve the problem.

• Opposite SIDES are congruent

• Opposite ANGLES are congruent

• Consecutive angles are supplementary

• Diagonals bisect each other

Find the values of x and y that make

the quadrilateral a parallelogram.

​ ​ x=​ (a)  

y=​ (b)  

• 1

• 6

• 2

• 3

• 4

• 5

• 7

• 8

• 9

• 10