Prezi Producer

acute angle

**MATH!**

**it's all about**

Mr. Allen Jordan

Math Teacher

Fayfay Prasutchai

Project Producer

CONTENTS

I. Angles

II. Triangles

III. The Pythagorean Theorem

**ANGLE**

What is an ANGLE?

An angle is something that made up of

two rays with the same endpoint.

A ray

A ray

endpoint

Part of an ANGLE

An angle is made up of two rays that share a

same end, which is mentioned previously. The rays

are called "sides" and the endpoint is called "vertex"

Side

Vertex

Side

THE BASICS

Types of ANGLES

Right Angle

An angle that is exactly

90 degrees

Acute Angle

An angle that is less than

90 degrees

Obtuse Angle

THIS indicates a RIGHT ANGLE

TIP

An angle that is between

90 and 180 degrees

Straight Angle

An angle that is

exactly

180 degrees

GETTING DEEPER

90°

ANGLES in PAIRS

If angles are in pairs, they can be called "supplementary angles" or "complimentary angles".

a PAIR of angles

SUPPLEMENTARY vs, COMPLEMENTARY

this pair of angles is

COMPLEMENTARY

because two of them totally measures 90 degrees

A

B

but this pair of angles is

SUPPLEMENTARY

because two of them totally measures 180 degrees

WHAT IF....

the sum of two angles are neither 90 degrees nor 180 degrees?

It will neither be complementary nor supplementary. Simply write not complementary or supplementary.

**TRIANGLES**

What is a triangle?

A triangle is a 2-dimensional geometric figure that has three edges and sides.

side

edge

Types of triangles

By the third angle

ACUTE TRIANGLE

A triangle that every angles acute

RIGHT TRIANGLE

A triangle that has 1 right angle

right angle!!

Talking about ANGLES in PAIRS, there are two kinds of pairs. Here you will got to know these.

ANSWER!

TIME FOR QUIZ!

**QUIZZES**

Number 1!

What kind of angle is this?

Number 1's answer is:

OBTUSE ANGLE

Number 2!

What kind of angle is this?

Number 2's answer is:

ACUTE ANGLE

OBTUSE TRIANGLE

A triangle that has 1 obtuse angle

By the length of sides

EQUILATERAL TRIANGLE

a triangle that all sides are congruent

ISOSCELES TRIANGLE

a triangle that has two congruent sides

SCALENE TRIANGLE

a triangle that has no congruent sides

Integration: Angles

A triangle always has 180 degrees.

QUIZ TIME!

QUIZ!!!!

1)

By angle, what triangle

is this?

2)

By length of the sides,

what triangle is this?

this is an obtuse angle because the size of it apparently larger than a right angle.

because this angle is smaller than a right angle (90 degrees)

Number 3

What kind of angle is this?

Number 4

Eric drew an angle which measures 160 degrees.

Mr. Allen asked him what angle did he draw. Help him to answer.

Number 3's answer is:

STRAIGHT ANGLE

because this angle has a straight line.

Number 4's answer is:

OBTUSE ANGLE

Eric drew an obtuse angle because his angle measures more than 90 degrees.

120°

3)

By length of the sides,

what triangle is this?

4)

KK has a triangular carpet which all sides have the different length. KK wants to know that what triangle is the carpet.

Number 1's answer is:

OBTUSE TRIANGLE

this is an obtuse triangle because one of its angle is an obtuse angle

Number 2's answer is:

ISOSCELES TRIANGLE

this is an isosceles triangle because there are at least two congruent sides.

Number 3's answer is:

EQUILATERAL TRIANGLE

this is an equilateral triangle because all sides of the triangle is congruent.

Number 4's answer is:

SCALENE TRIANGLE

KK's carpet is a scalene-triangular shaped because no sides are congruent

**PYTHAGOREAN**

THEOREM

THEOREM

What is Pythagorean Theorem?

Pythagorean Theorem is a theorem introduced by a Greek mathematician Pythagoras related to right triangles which he stated that the longest side or the hypotenuse squared is the sum of two sides of the triangles squared.

EQUATION FOR THIS:

key:

a

and

b

are the legs

c

is the hypotenuse

Vocabularies

Pythagoras:

a Greek mathematician, born around 2,500 years ago. Founder of the Pythagorean Theorem

Hypotenuse

: the longest side in a right triangle; normally written as a

c

in equations

Pythagoras

Right Triangle

legs

hypotenuse

How this works

If a right triangle had these features

a

= 4 and

b

= 5 and I need to find its hypotenuse

PROOF

QUIZ!

TEST YOURSELF!

C

4 cm.

8 cm.

Find

C

The answer for this is approximately

8.9

This is how we supposed to work

NOTES

All answers supposed to be rounded up if the result came out with lots of decimal places.

Thank you for watching!

Have you get through with math!

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