Properties of Quadrilaterals

Properties of Quadrilaterals

Quadrilaterals Defined

• A polygon with 4 sides

• All sides are straight

Types of quadrilaterals

• parallelogram

• rectangle

• square

• rhombus

• trapezoid

• isosceles trapezoid

• kite

Parallelogram properties

• opposite sides are parallel (2 pairs)

• diagonals bisect each other

• diagonals are not congruent

Parallelogram Properties

• opposite angles are congruent

• opposite sides are congruent

• Consecutive angles are supplementary

Multiple Choice

Which is NOT a property of a parallelogram?

• Diagonals bisect each other

• Diagonals are congruent

• Both pairs of opposite sides are parallel

• Both pairs of opposite angles are congruent

Fill in the Blank

Solve for x

Properties of Rectangles

• ALL angles are right angles

• opposite sides are congruent

Properties of Rectangles

• diagonals bisect each other

• diagonals are congruent

Multiple Select

Which of the following is true about the diagonals of a rectangle? Select all that are true.

• Diagonals bisect each other

• Diagonals are congruent

• Diagonal are perpendicular

• Diagonals bisect the angles

Fill in the Blank

Solve for x

Properties of Squares

• All 4 sides are congruent

• All 4 angles are right angles

• the diagonals bisect each other

• the diagonals are congruent

• The diagonals are perpendicular

• the diagonals bisect the angles of the square

Multiple Choice

The diagonals of a square are

• parallel

• congruent

• perpendicular

• congruent and perpendicular

Properties of a Rhombus

• ALL 4 sides are congruent

• opposite angles are congruent

• diagonals bisect each other and opposite angles too

• diagonals are perpendicular

• diagonals are NOT congruent

• consecutive angles are supplementary

• a rhombus is a parallelogram

Multiple Choice

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

• they are perpendicular

• they bisect each other

• they are congruent

Properties of a Trapezoid

• 1 pair of parallel sides

• parallel sides are called bases

• "non-parallel" sides are called legs

• diagonals have no particular distinction.

• ALL 4 angles have different angle measures.

Properties of an Isosceles Trapezoid

• same properties as a "trapezoid"....except:

• the legs are congruent

• 2 pairs of congruent base angles

• diagonals are congruent

Fill in the Blank

Solve for x

Multiple Choice

The diagonals of a trapezoid bisect each other.

• True

• False

Multiple Choice

The legs of an isosceles trapezoid are _____.

• parallel

• perpendicular

• congruent

• skew

Properties of a Kite

• 2 pairs of adjacent sides are congruent

• 1 pair of opposite angles are congruent

• 1 diagonal is bisected

• diagonals are NOT congruent

• diagonals are perpendicular

Multiple Choice

In the kite JKLM, segment KM is perpendicular to segment _____.

• JM

• KL

• JL

• LM

Fill in the Blank

Solve for x