Geometry Semester 1 Review

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

How do you determine if two lines are parallel, perpendicular, or neither using their slopes?

Back

If the slopes are equal, the lines are parallel. If the product of the slopes is -1, the lines are perpendicular. Otherwise, they are neither.

Front

What is the slope of a line through the points (0,4) and (2,0)?

Back

The slope is (0-4)/(2-0) = -2.

Front

What is the slope of a line through the points (-2,3) and (-4,2)?

Back

The slope is (2-3)/(-4+2) = 1/2.

Front

Are the lines through (0,4) and (2,0) and through (-2,3) and (-4,2) parallel, perpendicular, or neither?

Back

They are perpendicular because the product of their slopes (-2 and 1/2) is -1.

Front

What does POE stand for in mathematics?

Back

POE stands for 'Principle of Equivalence', which is used in solving equations.

Front

What is the purpose of Addition POE?

Back

Addition POE allows you to add the same value to both sides of an equation to maintain equality.

Front

What is the purpose of Subtraction POE?

Back

Subtraction POE allows you to subtract the same value from both sides of an equation to maintain equality.

Front

What is the purpose of Multiplication POE?

Back

Multiplication POE allows you to multiply both sides of an equation by the same non-zero value to maintain equality.