Math Models and Geometry

Math Models and Geometry

Presenter Dr. Luis Bello

Textbook: Prealgebra 2e

https://openstax.org/details/books/prealgebra-2e

Learning Objectives

By the end of this section, you will be able to:

Use the properties of angles

Use the properties of triangles

Use the Pythagorean Theorem

Multiple Choice

complementary, supplementary, or neither?

• Complementary
• Supplementary
• Neither

Multiple Choice

Find <S

• A

• B

• C

• D

Multiple Choice

Find the measure of the missing angle.

• 90^o
• 10⁰
• 130^o
• 50^o

Multiple Choice

What type of angle is this? 

• acute
• obtuse
• right

Multiple Choice

• x = 118
• x = 108
• x = 28
• x = 58

Multiple Choice

Find the missing angle.

• 60°
• 70°
• 50°
• 140

Multiple Choice

Find the area of this rectangle.

• 
  

  $15\ cm^2$
  

• $30\ cm^2$

• $50\ cm^2$

• $100\ cm^2$

Multiple Choice

Find the perimeter of this rectangle.

$Perimeter=\left(2\times length\right)+\left(2\times width\right)$

• $14\ m$

• $26\ m$
  

• $28\ m$
  

• $48\ m$

Multiple Choice

Find the area of this rectangle.

$Area\ =length\times width$

• $14\ m^2$

• $28\ m^2$

• $48\ m^2$

• $96\ m^2$

Multiple Choice

The __________ is the space occupied by a shape.

• area

• perimeter

Multiple Choice

The distance around a shape is its _____________.

• area

• perimeter

Multiple Choice

Find the perimeter of the rectangle.

• 40 mm 
• 82 mm 
• 420 mm 
• 41 mm 

Multiple Select

This is . . . (chose two)

• an acute triangle

• an obtuse triangle

• a equilateral triangle

• an isosceles triangle

Multiple Choice

this is . . .

• an acute triangle

• an obtuse triangle

• a right triangle

• an isosceles triangle

Multiple Choice

This is . . .

• a scalene triangle

• an acute triangle

• an isosceles triangle

• an obtuse triangle

Multiple Choice

This is . . .

• an acute triangle

• an obtuse triangle

• a right triangle

• an equilateral triangle

Pythagorean Theorem

A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides. It is mathematically stated as

c² = a² + b²,

where c is the length of the hypotenuse and a and b the lengths of the other two sides.

Multiple Choice

What is the distance from the base of the house to the base of the ladder?

• 25 m
• 5 m 
• 313 m 
• 17.7 m

Multiple Choice

Find the length of the missing side. 

• 20 in.
• 68 in.
• 16 in.
• 80 in.

Multiple Choice

What is the formula used to solve for the hypotenuse?

• a²⁺b²=c²
• a+b=c
• a-b=c
• c-a=c