Semester 1 Review

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent in a linear function?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

What is the equation of a line that passes through the origin with a slope of 6?

Back

The equation is y = 6x.

Front

What happens to the size of a polygon when the scale factor p is between 0 and 1?

Back

The image of the polygon is smaller than the original polygon.

Front

How do you represent a decrease in a quantity over time using a function?

Back

You can represent it with a linear function of the form t = -kw + b, where k is the rate of decrease, w is time, and b is the initial quantity.

Front

What is the transformation rule for reflecting a point across the origin?

Back

The transformation rule is (x, y) → (-x, -y).

Front

What does a dilation with a scale factor greater than 1 do to a figure?

Back

It enlarges the figure.

Front

What is the result of a 180-degree rotation around the origin for a point (x, y)?

Back

The result is (-x, -y).

Front

What is the equation for a dilation that enlarges a figure by a factor of 8/3?

Back

The equation is (x, y) → (8/3 * x, 8/3 * y).

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning one can be transformed into the other through rotations, reflections, or translations.