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.

A parallelogram is a rhombus if and only if its diagonals are perpendicular.

The diagonals of a parallelogram are perpendicular if and only if the parallelogram is a rhombus.

Which of the following would NOT be enough to prove a quadrilateral is a square?

show one pair of opposite sides are congruent 2) show it contains a right angle 3) show it has 4 congruent sides

show both pairs of opposite sides are congruent 2) show it contains a right angle 3) show it has 4 congruent sides

show both pairs of opposite sides are parallel 2) show it has congruent diagonals 3) show it has 4 congruent sides

Proving Rectangle, Rhombus, and Square

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.CO.C.11, HSG.C.A.3, HSG.CO.B.7

+2

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

rectangle

rhombus

square

none of the above

Tags

CCSS.HSG.CO.C.11

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

rectangle

square

rhombus

Tags

CCSS.HSG.CO.C.11

3.

FILL IN THE BLANK QUESTION

1 min • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

rectangle

rhombus

square

none of the above

Tags

CCSS.HSG.CO.C.11

5.

LABELLING QUESTION

1 min • 1 pt

Match the missing statements & reasons in the proof.

f

b

d

e

a

c

g

CPCTC

ABCD Rhombus

ABCD is Parallelogram

Opp sides Parallel in Parallelogram

Reflexive

Rhombus 4 = sides

Tags

CCSS.HSG.CO.C.11

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSG.CO.C.11

7.

FILL IN THE BLANK QUESTION

1 min • 1 pt

x =

Tags

CCSS.HSG.CO.C.11

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Proving Rectangle, Rhombus, and Square

20 questions

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

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

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

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

Match the missing statements & reasons in the proof.

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

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

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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.