IM 8th Grade Unit 2 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 their corresponding sides are proportional.

Front

How do you find the missing side of similar figures?

Back

To find the missing side of 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 the context of similar figures, it is the ratio of the lengths of corresponding sides.

Front

If the scale factor from Figure A to Figure B is 3, what does this mean?

Back

This means that each side of Figure B is 3 times longer than the corresponding side of Figure A.

Front

If the scale factor from Figure B to Figure A is 1/3, what does this mean?

Back

This means that each side of Figure A is 1/3 the length of the corresponding side of Figure B.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run.

Front

How do you calculate the slope between 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 slope of 2 indicate about a line?

Back

A slope of 2 indicates that for every 1 unit increase in x, the value of y increases by 2 units.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend in the line.

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope; they never intersect.