Quiz about Slope and Similar Triangles

Question 1

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?)

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 2

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

Accepted Answer

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

Accepted Answer

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

Accepted Answer

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

Answer

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

Question 3

Choose all TRUE statements about the given image.

Accepted Answer

The line LO has positive slope

Accepted Answer

Triangles MNP and LOQ have the same slope

Accepted Answer

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

Accepted Answer

$$\frac{NP}{PM}=\frac{OQ}{LQ}$$

Answer

$$m=\frac{4-2}{3-0}$$

Question 4

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?

Accepted Answer

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

Answer

The slope cannot be determined

Answer

The slope of BC is greater than the slope of CD

Answer

The slope of BC is less than the slope of CD

Question 5

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?

Accepted Answer

Option A is correct

Accepted Answer

Option C is correct

Accepted Answer

Option D is correct

Answer

B.

Question 6

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

Accepted Answer

$$\frac{BD}{AD}=\frac{CE}{BE}$$

Answer

$$\frac{BD}{AD}=\frac{BC}{BE}$$

Answer

$$\frac{AB}{BC}=\frac{CE}{BE}$$

Answer

$$\frac{AD}{BD}=\frac{BE}{CE}$$

Question 7

What is the solution to this equation?

$$2x+3=x-4$$

Accepted Answer

x=-7

Answer

x=7

Answer

x=4

Answer

x=-1

Question 8

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

Accepted Answer

$$1.\ 429\ x\ 10^{-3}$$

Answer

$$1.429\ x\ 10^3$$

Answer

$$1.\ 429\ x\ 10^2$$

Answer

$$1.429\ x\ 10^{-2}$$

Question 9

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

Accepted Answer

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

Answer

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

Answer

$$\frac{5-1}{3-2}$$

Answer

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

Slope and Similar Triangles

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