Quadrilateral Hierarchy

I CAN prove properties of quadrilaterals using triangle congruence theorems

Today's Objective:

Word Cloud

Best Super Power?

Multiple Choice

This quadrilateral is best called a:

• Parallelogram

• Kite

• Trapezoid

• Rhombus

• Rectangle

Multiple Choice

The definition of this unique quadrilateral is:

• Opposite sides are parallel

• All sides are congruent

• All angles are congruent

• Two pairs of adjacent sides are congruent

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 Select

This quadrilateral COULD be classified as a:

• Parallelogram

• Kite

• Trapezoid

• Rhombus

• Rectangle

Because a rhombus has four congruent sides, that means that it fits the definition of a kite: that it has two pairs of adjacent, congruent sides.
So: Any rhombus is also a kite and has kite properties!

Rhombi are Kites

However, not every kite fits the rhombus definition. So, although all rhombi are kites, they are still distinct types of quadrilaterals.

A Kite is not always a Rhombus

Multiple Choice

Justify each step.

• The Reflexive Property

• The Symmetric Property

• The Segment Congruence Theorem

• CPCF

Multiple Choice

Justify each step.

• The Properties of a Kite

• The Linear Pair Theorem

• The Vertical Angles Theorem

• The Triangle Sum Theorem

Multiple Choice

Justify each step.

• SSS

• SAS

• AAS

• HL

Multiple Choice

Justify each step.

• CPCF

• The Segment Congruence Theorem

• The Angle Congruence Theorem

• The Triangle Sum Theorem

Multiple Choice

Justify each step.

• CPCF

• The Segment Congruence Theorem

• The Angle Congruence Theorem

• The Triangle Sum Theorem

Multiple Choice

Therefore, ABCD is a parallelogram.

• Same-Side Interior Angles Theorem

• Alternate Interior Angles Theorem

• Same-Side Exterior Angles Theorem

• Alternate Exterior Angles Theorem

So, some shapes can inherit the properties of other shapes.

A kite is always a parallelogram, but a parallelogram is not always a kite!

Now a Quiz!

Multiple Choice

Which statement is true?

• A rhombus is never a square.
• A rhombus is always a square.
• A rhombus is never a rectangle.
• A rhombus is always a parallelogram.

Multiple Choice

Which statement is not true?

• Every parallelogram is a rectangle.
• Every square is a parallelogram.
• Every square has two pairs of parallel sides.
• Every rectangle has four right angles.

Multiple Choice

If a shape is a square, then it is also a rectangle and a rhombus.

• TRUE

• FALSE

Multiple Choice

A rectangle and a rhombus are also

• squares

• parallelograms

• triangles

• pentagons

Multiple Select

Name that shape. 

• quadrilateral

• parallelogram

• rhombus

• rectangle

• square

Multiple Select

Name that shape.

• parallelogram

• rectangle

• quadrilateral

• rhombus

• kite

Multiple Choice

Which hierarchy diagram is correct?

Multiple Choice

Which statement about shapes is true?

• All rectangles are squares.

• All rhombuses are squares.

• All rhombuses are rectangles.

• All squares are rectangles.