Geometry Regents Parallelograms

• Choice (1)
• Choice (2)
• Choice (3)
• Choice (4)

• Choice (1)
• Choice (2)
• Choice (3)
• Choice (4)

A parallelogram must be a rectangle when its

• diagonals are perpendicular

• diagonals are congruent

• opposite sides are parallel

• opposite sides are congruent

Which quadrilateral has diagonals that always bisect its angles and also bisect each other?

• rhombus

• rectangle

• parallelogram

• isosceles trapezoid

Find the value of each variable in the parallelogram.

c=​ (a)  

d=​​ (b)  

• 6

• 10

• 4

• 11

• 14

• 25

• 9

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

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

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

d

f

b

g

c

h

C

F!

F

B

E

A

F.

D

Refer to parallelogram ABCD. LABEL what x and side AB should be.

a

b

4

17

65

100

260

25

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