Applying Angle Theorems Using Expressions

Applying Angle Theorems Using Expressions

​Mr. LaCroix

7th Grade Math

Multiple Choice

The distance around an object is called...

• area

• perimeter

Multiple Choice

The space inside an object is called...

• area

• perimeter

Multiple Choice

If I wanted to put tile down in my kitchen, I would need to find the ...

• area

• perimeter

Multiple Choice

If I wanted to place a border around my pool, I would need to find the ...

• area

• perimeter

Multiple Choice

How do you find area of a square or rectangle?

• Length + Width

• Length x Width

Finding Area of a Square and Rectangle

Length x Width

Write this down in notebook!!!!!!

Multiple Choice

Find the AREA of this figure.

• $$160\ ft^2$$
  

• $$1600ft^2$$
  

• $$26ft^2$$

What if I want to find the Area of this rectangle?

What Should I DO?

Hopefully you still said Multiply

• But wait we have an expression as one of the dimensions

• Let's set it up: 10 ( 3x - 1 )

• Now, What method can we use to solve for area of this rectangle?

Multiple Choice

Use the Distributive Property to help solve 10( 3x - 1 )

• 30x - 1

• 30x - 10

• 20x

• 3x - 10

Multiple Choice

Find the area of this rectangle with given length (x + 3) and width ( 4 ):

• 4x+12
• 4x + 3

• 5x + 3

• 5x + 12

Multiple Choice

Find the area of this rectangle with given length (x - 5) and width (10):

• 10x-50
• 10x -5

• 11x - 50

• 10x+50

Finding Perimeter of a Triangle

Side 1 + Side 2 + Side 3

Let's Find the Perimeter of this Triangle

Write this down in notebook!!!!!!!!

• First, write your work out: Side 1 + Side 2 + Side 3

• x + x + 4 + x + 6

• What method can I use to simplify this expression?

Hopefully you said Combine Like Terms

• x + x + 4 + x + 6

• Combine your "x" terms and then Combine your constants

• 3x + 10

• Are we Done?

Multiple Choice

Is the perimeter of this triangle 3x + 10

• yes

• no

Multiple Choice

What is the perimeter of the rectangle in simplest form?

• 12x - 2

• 12x + 10

• 12x - 10

• 8x - 10

​Write this down in notebook!!!!

​Write this down in notebook!!!!

Multiple Choice

How are these angles related?

• Vertrical

• Complementary

• Adjacent

• Supplementary

Multiple Choice

Tell whether the angles are complementary or supplementary. Then find the value of x.

• Complementary; x=25
• Complementary; x=5
• Supplementary; x=25
• Supplementary; x=5

Multiple Choice

Which equation could you use to solve for the value of x?

• 3x + 10 − 2x = 180

• 3x + 10 = 180

• 3x + 10 + 2x = 180

• 3x + 10 = 2x

Multiple Choice

• 2x-6=7x+4
• 2x-6+7x+4=90
• 2x-6+7x+4=180
• 2x-6+7x+4=360

Multiple Select

What type of angles are these? (select 2)

• Adjacent Angles

• Linear Pair

• Complementary Angles

• Supplementary Angles

• Vertical Angles

Fill in the Blank

Supplementary angles always add up to

Fill in the Blank

Complementary angles always add up to

Multiple Choice

Are these Vertical Angles?

• yes

• no

Multiple Choice

What is the measure of angle y?

• 76

• 104

Multiple Choice

What is the value of x?

• 37

• 72

• 108

• 18

Multiple Choice

Which equation would help you find the value of x?

• 3x=180

• 3x=90

• 3x=20

Multiple Choice

What is the value of x?

• $$6.\overline{6}$$  

• 20

• 90

Multiple Choice

Which equation would help you find the measure of $$\angle k$$  ?

• 60+40+k=90

• 60+40+k=180

Multiple Choice

Solve for $$\angle k$$  

Hint: Use the fact that $$\angle k$$  & $$\angle M$$  are supplementary.

• 60+40+k=90

• 60+40+k=180