Slope and Similar Triangles

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the rise over run between two points on the line.

Front

When given two similar triangles on the same line, they will ALWAYS have the same _______________?

Back

slope

Front

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

Back

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

Front

If a line has a slope of 3/2, what does this indicate about the line's steepness?

Back

A slope of 3/2 indicates that for every 2 units moved horizontally, the line rises 3 units vertically.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Are the triangles with angles measuring 30°, 60°, and 90° similar to triangles with angles measuring 30°, 60°, and 90°?

Back

Yes, they are similar because they have the same angle measures.

Front

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

Back

The corresponding sides of similar triangles are in proportion.

Front

What is the slope of the line represented by the equation y = 2/3x + 1?

Back

The slope of the line is 2/3.

Front

What is the slope of the line represented by the equation y = 3/4x - 2?

Back

The slope of the line is 3/4.