Proving Rectangle, Rhombus, and Square

Can you conclude the parallelogram is a rectangle, rhombus, or square?

• rectangle

• rhombus

• square

• none of the above

Suppose the diagonals of a parallelogram are perpendicular and congruent. What type of special quadrilateral is it?

• rectangle

• square

• rhombus

Solve for n and m. Type your answer as n=#, m=#

Can you conclude the parallelogram is a rectangle, rhombus, or square?

• rectangle

• rhombus

• square

• none of the above

Match the missing statements & reasons in the proof.

f

b

d

e

a

c

g

CPCTC

Reflexive

ABCD is Parallelogram

Rhombus 4 = sides

ABCD Rhombus

Opp sides Parallel in Parallelogram

Using the properties of the special parallelogram, solve for x and y.

• x = 2, y = 1

• x = 2, y = 0

• x = 1, y = 1

• x = 1, y = 0

x =

x =

Write the following 2 true conditionals as a 1 biconditional.

1. If a parallelogram is a rhombus, then its diagonals are perpendicular.

2. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

The diagonals of a rectangle are

• parallel

• congruent

• perpendicular

• not congruent