Unit 2 Super Review

Geometry Guy

A POINT identifies a location in space.

Draw:

Write: Say:

A POINT identifies a location in space.

Draw:

H

Write: Say:

A POINT identifies a location in space.

Draw:

H

Write:

H

Say:

A POINT identifies a location in space.

Draw:

H

Write:

H

Say:

“point H”

A LINE extends forever in both directions.

Draw:

Write: Say:

A LINE extends forever in both directions.

Draw:

Write: Say:G

H

A LINE extends forever in both directions.

Draw:

Write:

GH

or

HG

Say:G

H

A LINE extends forever in both directions.

Draw:

Write:

GH

or

HG

Say:

“line GH”

or

“line HG”

G

H

A LINE extends forever in both directions.

Draw:

Write:

GH

or

HG

Say:

“line GH”

or

“line HG”

G

H

A LINE SEGMENT is a part of a line. It has a beginning and an end

(endpoints).

Draw:

Write: Say:

A LINE SEGMENT is a part of a line. It has a beginning and an end

(endpoints).

Draw:

Write: Say:P

Q

A LINE SEGMENT is a part of a line. It has a beginning and an end

(endpoints).

Draw:

Write:

PQor

QP

Say:P

Q

A LINE SEGMENT is a part of a line. It has a beginning and an end

(endpoints).

Draw:

Write:

PQor

QP

Say:“line segment

PQ”

or

“line segment QP”

P

Q

Line segments are used to make .

A is a closed, 2-dimensional figure. It has an INSIDE and an OUTSIDE.

… it isn’t closed.

• Two of these line segments intersect.

It has curved areas.

To be a polygon, the figure must have straight sides.

We can determine the perimeter of

What is perimeter?

The Perimeter Song(sung to the tune of “Jingle Bell

Rock”)Perimeter, perimeter – the distance aroundMeasure the sides, take what you’ve foundAdd them all up and the sum that you get –With a label, that’s PERIMETER!

Perimeter, perimeter – the distance aroundMeasure the sides, take what you’ve foundAdd them all up and the sum that you get –That’s PERIMETER!

What is the perimeter of this figure (which happens to be a

quadrilateral)?

The perimeter is1 cm + 4 cm + 2 cm + 5 cm = 12 cm

What is the perimeter of this rectangle?

One fact I know about rectangles is that opposite sides are equal in

length.

The perimeter is 3 inches + 3 inches + 5 inches + 5 inches =

16 inches

I hope you said “inches” and not “centimeters”!!!!!!!!

What is the perimeter of this square?

I know that a square has 4 equal sides.

The perimeter of this square is2cm + 2cm + 2cm + 2cm = 8cm

You could also write 4 X 2 cm = 8 cm

Parallel Lines

Versus

Perpendicular Lines

The Perpendicular Song(to the tune of “Yankee Doodle Dandy”)

Two lines are perpendicular if they form a right angle.

“Right angle” is another way that you can say “square corner”.

These lines are perpendicular: These lines aren’t:These lines are perpendicular: These lines aren’t!

Do you see the square corners?(also known as “right angles”)?

Important: When we say “right angles”, we don’t mean they “go to the right”, or that any other kind of angle is “wrong”!!!

Two lines are perpendicular if they form a right angle.

“Right angle” is another way that you can say “square corner”.

These lines are perpendicular:These lines aren’t:These lines are perpendicular:These lines aren’t!

Now, let’s sing The Parallel Song!

SORRY! There is no Parallel Song!

But it’s easy to remember what parallel means…just look at the word:

parallel

Parallel lines• are the same distance apart

everywhere

• will never intersect in either direction

I get it! But what’s a parallelogram?

A parallelogram is…

a four-sided figure…

whose opposite sides are…

parallel!

Do you see how the OPPOSITE SIDES of these QUADRILATERALS are parallel to each other? These figures are PARALLELOGRAMS!

Classifying

Quadrilaterals

Before we do that…let’s classify something else!

Chihuahua

Greyhound

Let’s say this oval represents all animals.

animals

The smaller oval is a type of animal – dogs.

animals

dogs

Next, we have an oval inside the “dogs” oval. It is for “hounds”. A hound is a type of dog.

animals

dogs

hounds

Finally, we have an oval for a specific kind of hound – a greyhound.

animals

dogs

hounds

greyhound

Where should I go in the diagram?

• I am an ANIMAL. • I am a special type of animal – a DOG.

…but I am NOT a hound.

I can be inside the ANIMAL oval, and I can also go inside the DOGS oval. But I must stay out of the HOUNDS oval,

because I am NOT a hound.

animals

dogs

hounds

greyhound

Where will I go in the diagram?

• I am an ANIMAL.

• I am a special type of animal – a DOG.

• I am a special type of dog – a HOUND.

• I am a special type of hound - a

GREYHOUND.

I can be inside all of these ovals because I am a greyhound, which is a type of hound, which is a type of

dog, which is an animal!

animals

dogs

hounds

greyhound

What about me?

…and me!

…and me!

…and me!

Let’s use this diagram!Quadrilaterals

Parallelograms

Rectangles

Squares

“We all have ____ sides!We are all ________!”

We’re all quadrilaterals (because we have 4 sides), but some of us can cross over into the PARALLELOGRAMS oval!

Quadrilaterals

Parallelograms

Rectangles

Squares

Not me! I don’t have two pairs ofparallel sides! My top and bottom are notparallel!

If we have 4 _______ _________, we can move into the RECTANGLES oval!

Quadrilaterals

Parallelograms

Rectangles

Squares

We both have four square corners, or you might say, we each have four right angles! So,

we are rectangles!

Not me. I don’t have

ANY right angles

(square corners).

One of us is a square. Do you know who is? Red or purple?

Quadrilaterals

Parallelograms

Rectangles

Squares

Yes, purple is a SQUARE because it has 4 ______ ______.

Quadrilaterals

Parallelograms

Rectangles

Squares

Yes, I am a quadrilateral, a parallelogram and a rectangle. But I am a SPECIAL rectangle! I have 4

equal sides! I am a SQUARE!

What

are

you?

Just

kidding!

Goodbye from Geometry Guy!

You’re

ALL

special!

WAIT! WAIT! What about ME?

The important thing about me is…

I have 4 equal sides.

But you’re not a SQUARE. You don’t have 4 right angles (square corners).

You’re right! But a square is in my family, too!

I know, you are a

RHOMBUS!

Let’s see how we would classify YOUR shape!

rhombus

square

A rhombus is a parallelogram with 4 equal sides.

A square is a special rhombus because it has 4 right angles.

And, like we said before,

A square is a special rectangle because it has 4 equal sides.

Now, the final goodbye from Geometry Guy!

You’re

ALL

special!

I told you I was special!