Similar Triangles & Slope, is it a function

Front

What are similar triangles?

Back

Similar triangles are triangles that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the rise (change in y) over the run (change in x).

Front

How do you determine if a set of values is a function?

Back

A set of values is a function if each input (x-value) corresponds to exactly one output (y-value). No x-value can repeat with a different y-value.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as a set of ordered pairs, a table, or a graph.

Front

What does it mean for a mapping to be a function?

Back

A mapping is a function if every element in the domain (input) is paired with exactly one element in the range (output).

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of 'b' in the slope-intercept form of the equation.

Front

How can you identify a linear function from a table of values?

Back

A linear function will have a constant rate of change, meaning the difference in y-values divided by the difference in x-values will be the same for all pairs.

Front

What is the relationship between similar triangles and proportional sides?

Back

In similar triangles, the lengths of corresponding sides are proportional. This means that the ratios of the lengths of corresponding sides are equal.

Front

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

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1).