G.GPE.4
Use coordinates to prove simple geometric theorems algebraically.
Directions: Evaluate each statement to determine whether the statement is “Sometimes” true,
“Always” true, or “Never” true. Put the statement in the relevant column and justify your
answer. If it is “Sometimes” true, then give an example of when it is true.
Sometimes True
Always True
Never True
Sometimes True
Always True
Never True
A rhombus is a square.
A square is a rectangle.
A trapezoid has opposite
sides parallel.
A parallelogram is a
rectangle.
A parallelogram is a
quadrilateral.
A trapezoid is a
parallelogram.
A trapezoid has legs
congruent.
A square is a rhombus.
A kite is a trapezoid.
A rectangle is a square
A square has opposite
angles congruent.
A rhombus is a square.
A parallelogram has
opposite sides parallel.
A rectangle is a
rhombus.