ACC: Final Flashcard

Front

What is the formula to find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

How do you reduce a figure by a scale factor?

Back

To reduce a figure, multiply each side length by the scale factor.

Front

What is the relationship between the circumference (C) and radius (r) of a circle?

Back

C = 2πr

Front

What is a scale factor in geometry?

Back

A scale factor is a number that scales, or multiplies, a quantity.

Front

What is the definition of a function in mathematics?

Back

A function is a relation where each input (x) has exactly one output (y).

Front

How do you solve for r in the equation C = 2πr?

Back

r = C / (2π)

Front

What does it mean to multiply each side of a figure by a scale factor of 1/4?

Back

It means to reduce the size of the figure to one-fourth of its original dimensions.

Front

If the scale factor from a smaller quadrilateral to a larger one is 4, what does that imply?

Back

It implies that each side of the larger quadrilateral is four times longer than the corresponding side of the smaller quadrilateral.

Front

What is the slope of the line that passes through the points (6,7) and (4,2)?

Back

The slope is 5/2.

Front

What is the scale factor if a figure is enlarged from a size of 2 to a size of 8?

Back

The scale factor is 4.