Quadrilateral Hierarchy

Presentation

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.CO.C.11, 6.NS.B.3, 3.G.A.1

Standards-aligned

Karl Shively

Used 7+ times

FREE Resource

5 Slides • 18 Questions

I CAN prove properties of quadrilaterals using triangle congruence theorems

Today's Objective:

Word Cloud

Best Super Power?

Type response here

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

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.

I CAN prove properties of quadrilaterals using triangle congruence theorems

Today's Objective:

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