Coordinate Proofs

Prove an equilateral triangle

3 congruent sides

Prove an isosceles triangle

2 congruent sides

Prove a right triangle

One right angle (perpendicular lines)

Prove a trapezoid

1 set of opposite sides parallel

Prove an isosceles trapezoid

Prove a trapezoid first

1) Diagonals are congruent

2) Non-parallel sides are congruent

Prove a parallelogram

1) Opposite sides are congruent

2) Opposite sides are parallel

3) Diagonals bisect each other

4) One set of opposite sides congruent and parallel

Prove a rectangle

Prove a parallelogram first

1) Diagonals are congruent

2) 1 right angle

Prove a rhombus

Prove a parallelogram first

1) 1 set of consecutive sides congruent

2) Diagonals are perpendicular

Prove a square

Prove a parallelogram first

Prove a rectangle

Prove a rhombus

Prove a kite

1) Diagonals are perpendicular

2) 2 sets of consecutive congruent sides