Proving Quadrilaterals

Question 1

How do you prove a rectangle?

Answer 1

If parallelogram has 1 or more right angles
Diagonals are congruent
All four angles are right angles

Question 2

How do you prove a rhombus?

Answer 2

If parallelogram has a pair of consecutive sides congruent
Either diagonal of a parallelogram bisects two angles
If diagonals perpendicularly bisect each other

Question 3

How do you prove a kite?

Answer 3

Two disjoint pairs of consecutive sides congruent

Diagonals perpendicularly bisect each other

Question 4

How do you prove a square?

Answer 4

If quadrilateral is both a rhombus and rectangle

Question 5

How do you prove an isosceles trapezoid?

Answer 5

If non parallel sides congruent
If lower or upper base are congruent
Diagonals congruent

Question 6

How do you prove a parallelogram?

Answer 6

Both opposite sides //
Both opposite sides congruent
One opposite side || and congruent
If diagonals bisect each other
Both pairs opposite angles congruent