Solving Quadrilaterals with Diagonals

The shown quadrilateral is a rectangle. If AB is 10 what is the length of DC

• 10

• 5

• 15

The diagonals of a parallelogram

• are always congruent

• bisect each other

• are never congruent

• parallel

How many degrees are in the missing angle?

• 60°

• 114°

• 70°

• 360°

Which of the following statements is not always true?

• The diagonals of a parallelogram bisect the angles of the parallelogram

• The diagonals of an isosceles trapezoid are congruent

• The diagonals of a kite divide it into 4 right triangles

• The diagonals of a rhombus divide it into 4 congruent triangles

• The diagonals of a square divide it into 4 congruent isosceles right triangles

Which of the following properties is true about parallelograms?

• Base angles are congruent.

• Diagonals are congruent.

• Opposite sides are parallel.

ABCD is a rhombus. What is the size of angle AED?

• 60 

• 45

• 90

• 180

What does it mean to have diagonals bisect each other?

• That go across each other

• The point where diagonals meet is the midpoint

• The angles are congruent

• The full diagonal line is congruent to the other diagonal line

Which quadrilateral(s) have perpendicular diagonals? Select all that apply.

• Square

• Trapezoid

• Parallelogram

• Rhombus

• Rectangle

The diagonals of a parallelogram always ... 

• are congruent

• are perpendicular

• bisect each other

• are parallel

Select all the quadrilaterals that opposite sides are parallel and the diagonals bisect each other

• square

• rhombus

• trapezoid

• parallelogram

• rectangle