Quadrilaterals and Diagonals

Use the diagram which shows rhombus PQRS where the diagnols intersect at point T, m∠RPS = 30° and QT = 6. Find the m∠QPR.

• 60°

• 30°

• 90°

• 150°

Answer explanation

Property of a Rhombus: Diagonals Bisect the Angles.

Tags

CCSS.HSG.CO.C.11

Use the diagram which shows rhombus PQRS where the diagnols intersect at point T, m∠RPS = 30° and QT = 6. Find the m∠QTP.

• 120°

• 30°

• 60°

• 90°

Answer explanation

Property of a Rhombus: Diagonals are Perpendicular

Tags

CCSS.HSG.CO.C.11

Use the diagram which shows rhombus PQRS where the diagnols intersect at point T, m∠RPS = 30° and QT = 6. Find QS.

• 6

• 12

• 30

• 60

Answer explanation

Property of a Rhombus: diagonals bisect each other

Tags

CCSS.HSG.CO.C.11

Use the diagram which shows rhombus PQRS where the diagnols intersect at point T, m∠RPS = 30° and QT = 6. Find RT.

• 6

• 12

Tags

CCSS.HSG.CO.C.11

Which of the following group of quadrilaterals have congruent diagonals?

• All of the above

• II, III and IV

• II and IV, only

• III and IV, only

Which quadrilaterals have diagonals that bisect the opposite angles? Select all that apply.

• squares

• rectangles

• rhombuses

• isosceles trapezoids

• parallelogram

Select all that apply.

DIAGONALS BISECT EACH OTHER

• RECTANGLE

• RHOMBUS

• SQUARE

• PARALLELOGRAM

Tags

CCSS.HSG.CO.C.11

Which quadrilaterals have diagonals that bisect each other? Select all that apply.

• squares

• rectangles

• kites

• trapezoids

• parallelograms

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

• rhombus

• rectangle

• parallelogram

• isosceles trapezoid

Tags

CCSS.HSG.CO.C.11

"Diagonals bisect pairs of opposite angles" is a property of:

• Rectangles

• Parallelograms

• Rhombuses

• Squares

Tags

CCSS.HSG.CO.C.11