Properties Of Quadrilaterals Flashcards
What type of parallelogram must have perpendicular diagonals?
Rhombus
If a quadrilateral has two consecutive angles that are supplements the quadrilateral is a?
Parallelogram
If a quadrilateral has 2 pairs of opposite and congruent angles, the quadrilateral is a?
Parallelogram
What type of parallelogram has diagonals that bisect opposite angles?
Rhombus
If a quadrilateral has 2 pairs of opposite sides that are congruent, the quadrilateral is a?
Parallelogram
What type of parallelogram must have four right angles?
Rectangle
If as quadrilateral has diagonals that bisect each other, the quadrilateral is a?
Parallelogram
What type of parallelogram must have four congruent sides?
Rhombus
What type of parallelogram must have congruent diagonals?
Rectangle
What type of parallelogram has all ten of these properties?
Square
True or false; A parallelogram has 5 properties.
True
In a quadrilateral, if the longer diagonal bisects the pair of opposite angles, the quadrilateral is a?
Kite
If a quadrilateral has 2 pairs of opposite sides that are parallel, the quadrilateral is a?
Parallelogram
What type of quadrilateral has non-base consecutive supplementary angles?
Trapezoid
True or false; a rhombus has all of the properties of a rectangle.
False
What type of quadrilateral has exactly one pair of parallel sides?
Trapezoid
What type of quadrilateral has congruent legs
Isosceles trapezoid
What type of quadrilateral has congruent base angles?
Isosceles trapezoid
State all of the properties of a parallelogram
Both pairs of opposite sides are parallel
Both pairs of opposite sides are congruent
Both pairs of opposite angles are congruent
Any consecutive angles are supplements
Diagonals bisect each other
If a quadrilateral has 2 pairs of consecutive congruent sides but the opposite sides are not congruent, the quadrilateral is a?
Kite
State the properties specific to a rhombus
A rhombus must have four congruent sides
A rhombus’ diagonals must be perpendicular
A rhombus’ diagonals must bisect a pair of opposite angles
State the properties specific to a rectangle
A rectangle must have four right angles
A rectangles diagonals must be congruent
In a quadrilateral, if the longer diagonal is also the perpendicular bisector to the shorter diagonal, the quadrilateral is a?
Kite
What are the properties of a square made up from?
5 from a parallelogram
3 from a rhombus
2 from a rectangle
Name the properties of a trapezoid
A trapezoid has exactly one pair of parallel sides
A trapezoid has non-base consecutive angles that are supplementary
Name the properties of an isosceles trapezoid
An isosceles trapezoid has congruent legs
An isosceles trapezoid has congruent base angles
An isosceles trapezoid has congruent diagonals
If a quadrilateral has exactly one pair of opposite angles at the end of the shorter diagonal that are congruent, the quadrilateral is a?
Kite
Name all of the properties of a kite
A kite has two pairs of consecutive congruent sides but the opposite sides are not congruent
A kite a perpendicular diagonals
A kite has exactly one pair of opposite angles at the ends of the shorter diagonal that are congruent
A kites longer diagonal is the perpendicular bisector for the shorter diagonal
A kites longer diagonal bisects the pair of opposite angles
