Geometry quadrilaterals Flashcards
What are the properties of a parallelogram?
Both pairs of opposite sides are parallel and congruent
Both pairs of opposite < are congruent
Consecutive < are supp
Diagonals bisect each other and divide it into two congruent triangles
What are the properties of a rectangle?
All the properties of parallelograms
All < are right
Diagonals are congruent
What are the properties of a rhombus?
All properties of a parallelogram
All sides are congruent
Diagonals bisect the angles and are perpendicular to each other
What are the properties of a square?
All rectangle properties and all rhombus properties
What are the properties of a trapezoid?
Exactly one pair of parallel sides
What are the properties of an isosceles trapezoid?
Exactly one pair of parallel sides
non-parallel sides are congruent
the diagonals are congruent
the base angles are congruent
How can you prove a quadrilateral is a parallelogram?
It has one or both pairs of opposite sides parallel and congruent
It has both pairs of opposite < congruent
The diagonals bisect each other
How can you prove a quadrilateral is a rectangle?
Its a parallelogram with one right angle
its a parallelogram with congruent diagonals
How can you prove a quadrilateral is a rhombus?
Its a parallelogram with one pair of consecutive congruent sides
Its a parallelogram with perpendicular diagonals
Its a parallelogram whose diagonals bisect the angles
How can you prove a quadrilateral is a square?
It is a rectangle with one pair of consecutive sides
It’s a rhombus with a right angle
How can you prove a quadrilateral is a trapezoid?
One pair of parallel sides and one pair of non parallel sides
How can you prove a quadrilateral is an isosceles trapezoid?
A trapezoid in which the nonparallel sides are congruent
