Slope Triangles

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Tags

CCSS.8.EE.B.5

Front

If two triangles are similar, what can be said about their slopes?

Back

The slopes of corresponding sides of similar triangles are equal.

Tags

CCSS.8.EE.B.6

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the relationship between the slopes of similar triangles?

Back

The slopes of similar triangles are equal, meaning they have the same steepness.

Tags

CCSS.8.EE.B.6

Front

If triangle ABC has a slope of 3, what is the slope of triangle DEF if they are similar?

Back

The slope of triangle DEF is also 3.

Tags

CCSS.8.EE.B.6

Front

What is the significance of the hypotenuse in right triangles regarding slope?

Back

The slope of the hypotenuse of a right triangle is determined by the lengths of the opposite and adjacent sides.

Tags

CCSS.8.EE.B.6