slope and similar right triangles

Multiple Choice

Which right triangle has a side opposite the right angle with a slope that would lie on the dashed line shown in the graph?

(Hint: what does it mean to be on the same line?)

Multiple Select

Which proportions DO NOT show the equality of the slopes of AC and AN? Select ALL that apply

• $$\frac{-5-\left(-3\right)}{-7-\left(-8\right)}=\frac{-7-\left(-8\right)}{-1-7}$$  

• $$\frac{-3-\left(-8\right)}{-5-\left(-7\right)}=\frac{-8-7}{-7-\left(-1\right)}$$  

• $$\frac{-5-3}{-7-8}=\frac{-7-8}{-1-\left(-7\right)}$$  

• $$\frac{-5-\left(-7\right)}{-3-\left(-8\right)}=\frac{-7-\left(-1\right)}{-8-7}$$  

Match

Match the following

positive slope

negative slope

undefined slope

zero slope

• positive slope

• negative slope

• undefined slope

• zero slope

Multiple Select

Choose all TRUE statements about the given image.

• The line LO has positive slope

• Triangles MNP and LOQ have the same slope

• $$m=\frac{6-\left(-3\right)}{6-0}$$  

• $$m=\frac{4-2}{3-0}$$  

• $$\frac{NP}{PM}=\frac{OQ}{LQ}$$  

Multiple Choice

Triangle ABC and triangle EBD are similar right triangles. The coordinates of all vertices are integers. Which statement is true about the slope of BC and the slope of CD?

• The slope cannot be determined

• The slope of BC is greater than the slope of CD

• The slope of BC is less than the slope of CD

• The slope of BC is the same as the slope of CD

Multiple Select

The two right triangles shown below are similar. Which configuration DOES represent how triangles A and B can be placed on a coordinate plane so that the line containing the side opposite the right angle of each triangle represents the same slope?

Multiple Choice

Which proportion can be used to describe the slope of line AC?

• $$\frac{BD}{AD}=\frac{BC}{BE}$$  

• $$\frac{AB}{BC}=\frac{CE}{BE}$$  

• $$\frac{BD}{AD}=\frac{CE}{BE}$$  

• $$\frac{AD}{BD}=\frac{BE}{CE}$$  

Multiple Choice

What is the solution to this equation?

$$2x+3=x-4$$  

• x=7

• x=-7

• x=4

• x=-1

Explanation Slide...

The exponent tells you how many times to move the decimal. Not how many zeros there will be. Did you take the time to work it out?

Reorder

Reorder the following in Ascending order

• $$-2.25$$   

• $$87.5\%$$

• 0.625

• $$-\frac{1}{4}$$

• $$\frac{24}{8}$$

  ​

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Explanation Slide...

to ascend means to go up

Multiple Choice

The density of oxygen is 0.001429 grams per cubic centimeter. How is this number written in scientific notation?

• $$1.429\ x\ 10^3$$  

• $$1.\ 429\ x\ 10^2$$  

• $$1.\ 429\ x\ 10^{-3}$$  

• $$1.429\ x\ 10^{-2}$$  

Fill in the Blanks

Fill in the Blanks

Multiple Choice

What is the correct setup to find the slope between $$\left(-2,\ -1\right)\ and\ \left(3,\ 5\right)$$  

• $$\frac{-2-\left(-1\right)}{3-5}$$  

• $$\frac{5-1}{3-2}$$  

• $$\frac{3-5}{-2-\left(-1\right)}$$  

• $$\frac{5-\left(-1\right)}{3-\left(-2\right)}$$