Slope Using Right Triangles

What is the height and the base of a connected right triangle using the points (0,0) and (8,4)? Select two answers.

• the base is 4 units

• the base is 8 units

• the height is 4 units

• the height is 8 units
  

Imagine a line created by an increasing function that shows a vertical change of 10 units for every horizontal change of 15 units. What is the slope?

• the slope is 15

• the slope is 10

• the slope is 1.5

• the slope is 0.67

What is the slope of the line segment with the two end points of (–6,0) and (0,6)?

• the slope is –6

• the slope is –1

• the slope is 6

• the slope is 1

A line passes through the points (0,0) and (2,6). What is the slope of the line?

• the slope is 0.33

• the slope is –3

• the slope is 3

• the slope is –0.33
  

Given that A(-2,3), B(4,1) and C(2,-4) are vertices of a triangle, determine the slope of each side to determine if this is a right triangle. Select ALL true statements.

• this is right triangle

• slope of AB=-1/2

• slope of BC=5/2

• slope of AC=4/7

• this is a non right triangle

Select all of the lines with a slope of ²/₅.

• A

• B

• C

• D

• E

Find the slope of the line.

What would be the value of a? HINT (You may need to find the slope first)

Find the value of B (HINT you may first need to find the slope)

Triangle ABC and triangle DEF are similar right triangles. Based on this information, which state is true?

• The slope of the line segment AC is less than the slope of the line segment DF.

• The slope of the line segment AC is equal to the slope of the line segment DF.

• The relationship of the slope of the line segment AC and the slope of the line segment DF cannot be determined.

• The slope of the line segment AC is greater than the slope of the line segment DF.