Slope and Right Triangles

What is the most important characteristic of a "right triangle"?

• sometimes all three sides are different lengths

• the angle that connects the base and height is always exactly 90^o

• there is always one angle that is more than 90^o

• sometimes the height is longer than the base

If a line follows the same path as the hypotenuse in a right triangle, then the slope of the line can be calculated using:

Tags

CCSS.8.EE.B.6

This is a graph of a diagonal up line. What does that tell us about the linear function? Select two answers.

• the slope must be positive

• the slope must be negative

• it's an increasing function

• it's a decreasing function

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A line passes through the points (-8, -6) and (0, 0). What is the height and the base of the connected right triangle? Select two answers.

• height = 6 units

• height = 8 units

• base = 6 units

• base = 8 units

Tags

CCSS.8.EE.B.6

The two given points for this diagonal up line show a vertical change of 6 units and a horizontal change of 8 units. What is the slope?

• the slope = 3/4 or 0.75

• the slope = 4/3 or 1.33

• the slope = –3/4 or –0.75

• the slope = –4/3 or –1.33

Tags

CCSS.8.EE.B.5

A decreasing linear function ALWAYS has negative slope. True or false?

• true

• false

• sometimes true

• it cannot be determined

Tags

CCSS.8.F.A.3

Imagine a line follows the path of the hypotenuse in a right triangle. What is the slope of a down line with a height of 4 units and a base of 12 units?

• the slope is –0.33

• the slope is –3

• the slope is –4

• the slope is –0.25

Tags

CCSS.8.EE.B.5

This is a graph of a diagonal down line. What does that tell us about the linear function? Select two answers.

• it's a decreasing function

• it's an increasing function

• the slope must be positive

• the slope must be negative

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The points (–5,5) and (0,0) create a connected right triangle with a height of 5 units and a base of 5 units. What is the slope of the line?

• the slope is 1

• the slope is –1

• the slope is –5

• the slope is 5

Tags

CCSS.8.EE.B.5

This linear function has negative slope. Why? Select two answers.

• because it's down line

• because it's up line

• because this is an increasing function

• because this is a decreasing function

Tags

CCSS.8.EE.B.5