Foundations of Geometry

Front

What is the formula to find the endpoint of a line segment given one endpoint and the midpoint?

Back

If A(x1, y1) is one endpoint and M(xm, ym) is the midpoint, then the other endpoint B(x2, y2) can be found using the formulas: x2 = 2*xm - x1 and y2 = 2*ym - y1.

Front

How do you calculate the length of a line segment between two points (x1, y1) and (x2, y2)?

Back

Front

What is the formula for the area of a parallelogram?

Back

The area A of a parallelogram is given by the formula: A = base * height.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by: y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the Pythagorean theorem?

Back

Front

What is the definition of a midpoint in geometry?

Back

The midpoint of a line segment is the point that divides the segment into two equal parts.

Front

How do you find the area of a triangle?

Back

The area A of a triangle can be calculated using the formula: A = 1/2 * base * height.

Front

What is the definition of a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by: P = 2 * (length + width).

Front

What is the definition of slope in a linear equation?

Back

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