Unit 3A Midterm Review

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

How do you find the missing side in similar figures?

Back

To find the missing side in similar figures, set up a proportion using the lengths of the corresponding sides of the figures.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In similar figures, it is the ratio of the lengths of corresponding sides.

Front

If the scale factor from ΔDEF to ΔABC is 1/2, what does this mean?

Back

It means that each side of ΔDEF is half the length of the corresponding side in ΔABC.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is zero, leading to division by zero in the slope formula.

Front

How do you solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations to simplify the equation.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.

Front

If x = 4 in a proportion, what does this imply about the corresponding sides?

Back

It implies that the ratio of the lengths of the corresponding sides is maintained, confirming the figures are similar.