Properties of Special Quadrilaterals

​Discussion: Which doesn't belong?

Lesson 6-4 Properties of Special Parallelograms

Objective: Students will use properties of rhombuses, rectangles, and squares to solve problems.​

Theorem 6-16​

If a parallelogram is a rhombus, then its diagonals are perpendicular bisectors of each other.

​Theorem 6-17

​If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles.

​Theorem 6-18

If a parallelogram is a rectangle, then its diagonals are congruent.​

Multiple Choice

What shape is this?

• Square

• Rectangle

• Rhombus

• Parallelogram

Multiple Choice

Name that shape.

• square

• square

  rhombus

• quadrilateral

  parallelogram

  rhombus

• quadrilateral

  parallelogram

  square

Multiple Choice

Name that shape.

• quadrilateral, rectangle

• quadrilateral, rectangle, square

• quadrilateral, parallelogram, rectangle

• quadrilateral, parallelogram, rectangle, square

Multiple Choice

MNKL is a square. Find the measure of angle MKN.

• 180 degrees

• 90 degrees

• 60 degrees

• 45 degrees

Multiple Select

Which quadrilateral(s) have an interior angle sum of 360°? Select all that apply.

• Rectangle

• Trapezoid

• Parallelogram

• Rhombus

Multiple Choice

Solve for x

• 3

• 4

• 5

• 6

Multiple Choice

Rectangles and squares both have ______________.

• all congruent sides

• four right angles

• perpendicular diagonals

• feelings

Multiple Choice

If the figure is a rectangle, the value of x is...

• 2

• 12

• 13

• 28

Multiple Choice

The figure is a rhombus.

Solve for x.

• 1

• 11

• 7

• 6

Multiple Choice

Given Rhombus TUVW. Find m∠4.

• 62
• 28
• 90
• 78

Multiple Choice

Given Rhombus TUVW. Find m∠2.

• 62

• 28

• 90

• 78