Lesson 3.2.1 and 3.2.2

Lesson 3.2.1

Ratios in Right Triangles

Multiple Choice

What is the slope formula?

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Multiple Choice

What is the slope of the line?

• 7/-3

• 7/3

• 3/7

• -3/7

Multiple Choice

Find the slope

• -5/3

• -3/5

• 5/3

• 3/5

How can we find the height of the Tower of Pisa?

• Pythagorean theorem?

• Smilar triangles?

• We don't know how yet?

Poll

What way do you think will work to find the height the Tower of Pisa is leaning?

• Pythagorean Theorem

• Similar Triangles

• We don't have a way yet...

Slope Triangles

Take some notes on the following video in your daily work.

Multiple Choice

What is the slope of the hypotenuse for a right triangle with an

 $11\degree$  angle measure?

• 1/5

• 2/5

• 2/3

• 1/10

Multiple Choice

What if I draw a slope triangle on the same line with

 $\Delta y=6?\$  What would be  $\Delta x?$  

• 24

• 30

• 11

• none of the above

Multiple Choice

What if I draw a slope triangle on the same line with

 $\Delta y=10?\$  What would be  $\Delta x?$  

• 50

• 2

• 60

• none of the above

Multiple Choice

What if I draw a slope triangle on the same line with

 $\Delta x=35?\$  What would be  $\Delta y?$  

• 15

• 7

• 1

• none of the above

Multiple Choice

What if I draw a slope triangle on the same line with

 $\Delta x=25?\$  What would be  $\Delta y?$  

• 5

• 30

• 15

• none of the above

What if the line changes?

Watch the video. What is the slope of the hypotenuse of these triangles?

Multiple Choice

Using the slope of the hypotenuse of right triangles with  $45\degree$  angles, if  $\Delta x=3$  , what is  $\Delta y?$  

• 1

• 9

• 3

Multiple Choice

Using the slope of the hypotenuse of right triangles with  $45\degree$  angles, if  $\Delta x=11$  , what is  $\Delta y?$  

• 11

• 5

• 3

Multiple Choice

Using the slope of the hypotenuse of right triangles with  $45\degree$  angles, if  $\Delta y=7$  , what is  $\Delta x?$  

• 2

• 7

• 3

Finding sides or angles

Use what you know about the two right triangles we looked at today to find the missing measures on the next questions.

Multiple Choice

What is the missing value?

• 500

• 20

• 200

• 50

Multiple Choice

What is the missing value  $\theta$ ? (Theta,  $\theta$ , often used as variables for angle measures)

• 11

• 45

• 22

• 90

Multiple Choice

What is the missing value  $\theta$ ? (Theta,  $\theta$ , often used as variables for angle measures)

• 11

• 45

• 22

• 90

Multiple Choice

What is the missing value?

• 65

• 2.6

• 26

• 13