Unit 4Special

Parallelograms

WORD Rhombus

DEFINITION A parallelogram with 4 congruent sides

DIAGRAM

NOTATION

EXAMPLE / EXPLANATION

Rhombus Properties Activity1. Give each student a rhombus (or have students

draw their own using a straightedge)2. Trace rhombus with labels and diagonals on a

quarter piece of patty paper.3. Place brad through the diagonal intersection.4. Rotate Rhombus ABCD 180° so it maps onto

itself.

What do we notice??

Rhombus vs. ParallelogramWhat do we notice about the properties of a rhombus and of a parallelogram when it is rotated onto itself?

They have the same properties!PARALLELOGRAMS

RHOMBUS

What other properties do Rhombi have?

Using another rhombus, measure and .Then, measure and

The diagonals of a rhombus the angles.

Measure the angles created by the intersection of the diagonals.

The diagonals of a rhombus are to each other.

BISECT

PERPENDICULAR

WORD Rectangle

DEFINITION A parallelogram with 4 right angles

DIAGRAM

NOTATION

EXAMPLE / EXPLANATION

Rectangle Properties Activity1. Give each student a rectangle2. Trace rectangle with labels and diagonals

on a quarter piece of patty paper.3. Place brad through the diagonal

intersection.4. Rotate Rectangle ABCD 180° so it maps

onto itself.

What do we notice??

Rectangle vs. Parallelogram vs. RhombusWhat do we notice about the properties of a rectangle and of a parallelogram when it is rotated onto itself?

They have the same properties!

Do rectangles have the same properties as

rhombi?

No, because rhombi have to have 4 congruent

sides.

PARALLELOGRAMS

RHOMBUS RECTANGLE

What other properties do Rectangles have?Using another rectangle, measure the lengths

of the diagonals.

The diagonals of a rectangle are CONGRUENT

WORD Square

DEFINITION A parallelogram with 4 congruent sides and 4 right angles

DIAGRAM

NOTATION

EXAMPLE / EXPLANATION

Square Properties Activity1. Give each student a square2. Trace square with labels and diagonals on a

quarter piece of patty paper.3. Place brad through the diagonal

intersection.4. Rotate Square ABCD 180° so it maps onto

itself.

What do we notice??

Square vs. Parallelogram, Rhombus, and RectangleWhat do we notice about the properties of a square and of a parallelogram when it is rotated onto itself?

They have the same properties!

Using another square, measure and and measure and What do

we notice?

Measure the angles created by the intersection of the diagonals.

What do we notice?

Do squares have the same properties as rhombi?

Measure the lengths of the diagonals.

Do squares have the same properties as rectangles?

YES

YES

PARALLELOGRAMS

RHOMBUS RECTANGLESQUARE