Coordinate Geometry Proofs

Which formula should be used to prove lines are parallel or perpendicular?

• Distance Formula

• Slope Formula

• Midpoint Formula

1

• Find the lengths of the diagonals.

• Find the slope of each diagonal.

• Find the midpoint of each diagonal.

• Find the midpoint of each side.

• Find the slope of 2 sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of all 4 sides.

• Find the slope of two consecutive sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of two consecutive sides.

What reason justifies statement #2?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

• Find the length of all 4 sides.

• Find the length of both diagonals.

• Find the slope of both diagonals

• Find the slope of all 4 sides.

Which formula should be used to prove lines are parallel or perpendicular?

• Distance Formula

• Slope Formula

• Midpoint Formula

• Pythagorean Theorem

A figure is drawn on a coordinate place and the formulas for slope midpoint and distance are used to prove properties of the figure

• Implication

• Coordinate Proof

• Line Segment

• Midpoint Formula

A formula used to find the exact center point between two deigned points in a line segment.

• Line Segment

• Distance Formula

• Slope Formula

• Midpoint Formula

The analytical use of algebra to study geometric properties of figure drawn on the coordinate plane.

• Coordinate Proofs

• Coordinate Geometry

• Euclidean Geometry

• Spherical Geometry