Rectangle Rhombus Theorems

The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E. What additional information is sufficient to prove that parallelogram ABCD is also a rhombus?

• AB is parallel to CD

• AC is congruent to BD

• BD bisects AC

• AC is perpendicular to BD

Tags

CCSS.HSG.CO.C.11

The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E. What additional information is sufficient to prove that parallelogram ABCD is also a rectangle?

• AC is perpendicular to BD

• AC bisects BD

• AC is congruent to BD

• AC and BD bisect their respective angles

Tags

CCSS.HSG.CO.C.11

A parallelogram is a rectangle if

• Adjacent sides are perpendicular

• Diagonals are perpendicular

• Opposite sides are congruent

• Opposite angles are congruent

Tags

CCSS.HSG.CO.C.11

Which of the following group of quadrilaterals have diagonals that are perpendicular to each other?

I. Parallelogram

II. Rectangle

III. Rhombus

IV. Square

• All of the above

• II, III and IV

• II and IV, only

• III and IV, only

Tags

CCSS.5.G.B.4

A parallelogram is a rhombus if

• Adjacent sides are congruent

• Diagonals bisect each other

• Opposite sides are congruent

• Adjacent sides are perpendicular

Tags

CCSS.HSG.CO.C.11

Figure A is a...

• Rectangle

• Square

• Rhombus

Tags

CCSS.HSG.CO.C.11

In a rhombus, opposite angles are __________.

• congruent

• supplementary

• corresponding

• parallel

Which of the following are NOT true about diagonals of a rhombus?

• they are perpendicular

• they bisect each other

• they are congruent

Tags

CCSS.HSG.CO.C.11

The figure is a rhombus.  
Solve for x.  

• 1

• 11

• 7

• 6

Tags

CCSS.HSG.CO.C.11

Name the following shape: 

• Rhombus

• Rectangle

• Square

Tags

CCSS.3.G.A.1