Properties of Quads and Parallelograms Flashcards
List the steps to determine the type of shape that a quadrilateral is
1) Find the slopes of each side
2) Notice any parallels
3) Use the distance formula for the sides
4) Apply properties to figure out which shape it is
What are the five true things in a parallelogram?
1) Both opposite sides are congruent
2) Both opposite angles are congruent
3) All consecutive angles are supplementary
4) Diagonals bisect each other
What is true about a rhombus?
Diagonals are perpendicular to each other; and the diagonals bisect opposite angles,; and 4 sides are congruent
What is true about the triangles in a rhombus?
They are all equal and form right angles
What is true about a rectangle?
Its a parallelogram; Has 4 right angles; Diangonals are congruent
What is true about a Square?
Its a parallelogram; Has 4 congruent sides; Diangonals are perpendicular to each other; Diagonals bisect opposite angles; It is a rhombus and rectangle
What is true about a trapezoid?
Its a quadrilateral with one pair of parallel sides
What is true about an isosceles Trapezoid?
A trapezoid with the non parallel sides congruent; both base angles are congruent; Diagonals are congruent; The median is parallel to the bases and its measure is 1/2 the sum of the bases
List all types of Parallelograms
Rectangles, Rhombuses, and squares
All rectangles and rhombuses are also _______.
Squares
List all types of quadrilaterals
Paralellograms, kites, and trapezoids
List the types of trapezoids
Isosceles trapezoids, and right trapezoids
What are the steps to proving the different types of quadrilaterals?
1) Find the slopes 2) Find the distance using the formula 3) See if the properties of the shape apply (ex. all sides are congruent could be a square)
What is the formula for pythagorum theorum?
A^2+B^2=C^2
What is the formula for distance on a coordinate plane?
d=√(x2 -x1)+(y2-y1)
