Extra Practice with Similar Slope Triangles

Front

What is the definition of slope in a triangle?

Back

The slope of a triangle is the ratio of the change in the y-values (rise) to the change in the x-values (run) between two points on the triangle.

Front

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

Back

The slope (m) is calculated using the formula: m = \frac{y2 - y1}{x2 - x1}.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the relationship between the slopes of similar triangles?

Back

The slopes of corresponding sides of similar triangles are equal.

Front

How can you express the slope of line AD in terms of other segments?

Back

The slope of line AD can be expressed as \frac{BC}{AC} = \frac{DE}{AE}.

Front

What is the significance of the slope in determining the steepness of a line?

Back

The slope indicates how steep a line is; a larger absolute value of the slope means a steeper line.

Front

What is the formula for the slope of a line given two points?

Back

The formula for the slope (m) is m = \frac{y2 - y1}{x2 - x1}.

Front

If two lines have the same slope, what can be said about their angles?

Back

If two lines have the same slope, they are parallel and will never intersect.

Front

What does it mean if the slope of line HK is equal to the slope of line PK?

Back

It means that the lines are parallel or that the triangles formed by these lines are similar.

Front

How do you determine if two triangles are congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.