Similar Triangles and Slope

Front

What are similar triangles?

Back

Triangles that have the same shape, but not necessarily the same size. The corresponding sides are proportional and the corresponding angles are equal.

Front

How do you calculate the slope of a line?

Back

Slope is calculated using the formula \( \frac{rise}{run} \).

Front

What is the slope of a line that rises 4 units and runs 1 unit?

Back

The slope is 4.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal.

Front

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

Back

The slope is found using the formula \( \frac{y2 - y1}{x2 - x1} \).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are proportional.

Front

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

Back

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

Front

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

Back

The slope is 3.