Geometry Midterm 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

How do you find the midpoint of a line segment with endpoints J(-6,1) and L(-4,3)?

Back

The midpoint M is calculated using the formula M = ((x1 + x2)/2, (y1 + y2)/2). For J and L, M = ((-6 + -4)/2, (1 + 3)/2) = (-5, 2).

Front

What is the distance formula used to find the length of a segment RQ?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the inverse of a statement?

Back

The inverse of a statement 'If p, then q' is 'If not p, then not q.'

Front

If two lines are parallel, what can be said about their slopes?

Back

If two lines are parallel, their slopes are equal.

Front

What is the converse of a statement?

Back

The converse of a statement 'If p, then q' is 'If q, then p.'

Front

How do you determine if two lines are parallel using angles?

Back

If two lines are cut by a transversal and the corresponding angles are equal, then the lines are parallel.

Front

What is the contrapositive of a statement?

Back

The contrapositive of a statement 'If p, then q' is 'If not q, then not p.'

Front

How do you find the value of x when two lines are parallel?

Back

Set the expressions for the angles equal to each other and solve for x.

Front

What is the definition of a transversal?

Back

A transversal is a line that intersects two or more lines at different points.