8.4A Slope with Similar Triangles

Front

What is the ordered pair for point A?

Back

(2, 0)

Front

Are the triangles drawn along the line similar?

Back

Yes, similar triangles have the same shape but different sizes.

Front

Identify the slope of EF in triangle DEF.

Back

The slope of EF in triangle DEF is 1.

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, or a section of a line, connecting two points.

Front

What is the slope of the line graphed below? Simplify your answer. Be careful of the scale on the y-axis!

Back

The slope is 10.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What characteristics do similar triangles share?

Back

Similar triangles share the same angles and proportional sides.

Front

How can you determine if two triangles are similar using their side lengths?

Back

If the ratios of the lengths of corresponding sides are equal, the triangles are similar.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no vertical change as you move along the line.