Proving a Quadrilateral a Parallelogram
If all off the sides of a quadrilateral are congruent, is it a parallelogram? Why?
What is Yes because of SSSS?
What are the defining characteristics of a square?
Are rhombuses always rectangles?
What is no?
True or False: A rectangle isn't a square, but a square is a rectangle.
What is false
True or False: Rhombuses are Squares, but not all Square are Rhombuses.
What is true.
If three of the angles on a quadrilateral are the same and one is different. Is it a parallelogram?
What is yes?
True or False: A rhombus is a kite.
True
True or False: All opposite angles on rhombuses add up to 180.
What is false?
What is the exact definition of a parallelogram?
What is If both pairs of opposite sides are parallel, the quadrilateral is a parallelogram.
How many methods are there to prove a quadrilateral is a parallelogram?
What is 5?
We will put up the image. (Parallelogram)
What is yes.
What is a corollary to prove a figure a rectangle, rhombus, or square?
There are several answers that I do not want to type.
What are both defining properties of a rhombus?
What are four congruent sides and the diagonals intersect at a right angle?
True or False: If a quadrilateral is a parallelogram, then its diagonals are congruent?
What is false.
If a quadrilateral is a parallelogram, what is true about its diagonals?
What is they bisect each other?
One pair of sides on a parallelogram is congruent and parallel.
What is the Congruent Parallel Opposite Quadrilateral Sides Theorem? (If you're close it counts)
What is a defining characteristic of a rectangle that involves its diagonals?
Which shape are all rectangles also?
What is a parallelogram?
Do squares, rhombuses, and rectangles all always share one property? What is it?
What is yes? What are two pairs of parallel sides?
Excluding properties that all parallelograms have, do squares, rhombuses, and rectangles all always share a property?
What is no?
The ways to prove quadrilaterals a parallelogram
What is SSSS, AAAA, Congruent Parallel Opposite Quadrilateral Sides Theorem, and Diagonal Congruence theorem and definition of a parallelogram?
Name all of the ways you can prove a parallelogram is a rhombus
What is all sides are congruent, diagonals bisect the angles, and the diagonals intersect at a right angle
We will put up the Image now.
Angle 1 = 48
Angle 2 = 42
What is the purpose of a corollary?
What are you can use corollaries to prove that a quadrilateral is a rhombus, square, or rectangle without first proving it is a parallelogram.
Draw out the hierarchy of quadrilaterals.
What is the right answer?