Properties of Parallelograms and Rectangles and Kites

The diagonals of a parallelogram

• are always congruent

• bisect each other

• are never congruent

• parallel

Tags

CCSS.HSG.CO.C.11

Name that shape. 

• square

• square
  rhombus

• quadrilateral
  parallelogram
  rhombus

• quadrilateral
  parallelogram
  square

Tags

CCSS.3.G.A.1

Which of the following properties is true about rectangles?

• Four congruent sides.

• Four right angles.

• Diagonals bisect opposite angles.

Tags

CCSS.HSG.CO.C.11

ABCD is a parallelogram. Solve for x and y

(a)  

Tags

CCSS.HSG.CO.C.11

ABCD is a rectangle. Solve for x

(a)  

Tags

CCSS.HSG.CO.C.11

ABCD is a kite. Solve for x and y

x = _____, y = _____

(a)  

ABCD is a rectangle. Find CD and AC

CD = _____, AC = _____

(a)  

Tags

CCSS.HSG.CO.C.11

ABCD is a rhombus. Solve for x and y.

x = _____, y = _____

(a)  

Tags

CCSS.HSG.CO.C.11

ABCD is a kite. Solve for x and y

x = _____, y = _____

(a)  

Which of the following is not a property of kites?

• Diagonals are perpendicular

• Diagonals bisect each other

• 2 pairs of consecutive sides are congruent

• Non-vertex angles are congruent