Similar Triangles and Slope (Modified)

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines where the change in x is zero, leading to division by zero in the slope formula.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line where the y-coordinate remains constant as the x-coordinate changes.

Front

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

Back

Two triangles are similar if the ratios of the lengths of their corresponding sides are equal.

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope, meaning they never intersect and maintain a constant distance apart.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other. If one slope is m, the other is -1/m.

Front

How can you find the slope of a line from its equation in slope-intercept form?

Back

In slope-intercept form (y = mx + b), m represents the slope of the line.