Geometry Semester 1- Review

Front

What is a transversal in geometry?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are in the same plane and do not intersect, regardless of how far they are extended.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if their slopes are equal.

Front

What is the transformation rule for reflecting a point across the line y=x?

Back

The transformation rule is (x,y) → (y,x).

Front

What is the transformation rule for rotating a point 90 degrees counterclockwise around the origin?

Back

The transformation rule is (x,y) → (-y,x).

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

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

Back

The formula is m = (y2 - y1) / (x2 - x1).

Front

What is the transformation rule for reflecting a point across the x-axis?

Back

The transformation rule is (x,y) → (x,-y).

Front

What is the transformation rule for translating a point (x,y) by (a,b)?

Back

The transformation rule is (x,y) → (x+a, y+b).