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I KNOW IT’S A …
Parallelogram
Definition:
a quadrilateral with 2 pairs of parallel sides
If a quadrilateral is a parallelogram, then…
1.
2.
3.
4.
opposite sides are congruent
diagonals bisect each other (diagonals have the same midpoint)
opposite angles are congruent
consecutive angles are supplementary
Rectangle
Rhombus
Def: a quad with 4 right angles
Def: a quad with 4 congruent sides
If a quadrilateral is a rectangle,
then…
1. all properties of a parallelogram
2. diagonals are congruent
If a quadrilateral is a rhombus,
then…
1. all properties of a parallelogram
2. diagonals are perpendicular
3. diagonals bisect opposite angles
Square
Definition: a quad with 4 right angles and 4 congruent sides
If a quadrilateral is a square, then…
1. all properties of a rectangle, and rhombus
IS IT A …?
Parallelogram
,then the quadrilateral is a parallelogram:
1. If two pairs of opposite sides are parallel
2. If two pairs of opposite sides are congruent
3. If diagonals bisect each other (diagonals have the same midpoint)
4. If two pairs of opposite angles are congruent
5. If consecutive angles are supplementary
6. If one pair of sides is parallel AND congruent
Rectangle
,then the quadrilateral is a
rectangle:
1. If it has 4 right angles
2. If it is a parallelogram with 1
right angle
3. If it is a parallelogram with
diagonals congruent
Rhombus
,then the quadrilateral is a
rhombus:
1. If it has 4 congruent sides
2. If it a parallelogram with 1 pair
of consecutive sides congruent
3. If it is a parallelogram with
diagonals perpendicular
4. If it is a parallelogram with
diagonals bisect opposite angles
Square
,then the quadrilateral is a square:
1. If the quadrilateral is rectangle and rhombus