True / False
A diagonal of a parallelogram creates two congruent triangles.
True
both pairs of opposite angles of the quadrilateral are congruent, but all angles are not congruent.
what is a parallelogram
If the perimeter of a rhombus is 48 - what is the length of one of it's sides?
48/12 since all sides are equal
The diagonals of a kite intersect for form -
90 degree angles - they are perpendicular
A very appealing individual comes to you across the room at a party and says - "I'm bored with all the drama. I'm dying for some interesting facts" and you say - "here's something, Did you know that all the outside angles of any polygon - no matter how many sides add up to . . .
360
Adjacent angles of a parallelogram are congruent
False - Adjacent means they are consecutive and they would be supplementary
All angles but not all sides are congruent
what is a rectangle
2 sides are 6 inches and the other two are 18.
The longer diagonal of a kite splits the kite into
two congruent triangles that are a reflection of each other
The diagonals of a rectangle not only bisect each other they are also . . . .
congruent
All squares are Rhombi
True
All sides are congruent but not all angles are congruent
what is a Rhombus
Given a rectangle FGHJ, name my 2 diagonals?
FH and GJ
The different between the 2 pair of congruent sides of a kite and a parallelogram is
the congruent sides are not opposite each other but instead they are adjacent (consecutive)
If Square ABCD has a side length of 12 then the length of it's diagonal is
12√2 or 16.97
A parallelogram can be a trapazoid but a trapazoid may not always be a parallelogram
False - a trapazoid is defined as having only 1 pair of opposite sides that are parallel
My diagonals are congruent and are angle bisectors.
what is a square
Given a rectangle FGHJ, true or false - FG and GH are perpendicular?
True - they form one corner of the rectangles 90 degree angle.
The different between the diagonals in a trapazoid and a parallelogram is . . .
the diagonals of a trapazoid do not bisect each other
A convex quadrilateral mean that all the sides are equal
False - convex simply means all vertices point outward, away from the center, ensuring no inward dents or "caves".
Diagonals of a Rectangle are Angle Bisectors
No - only Rhombi and Squares diagonals are also angle bisectors
I have one pair of parallel sides and the other pair are congruent
What is an isosceles Trapazoid
Name at least 2 characteristic can be states as true for rectangles, rhombi, and isosceles trapezoids?
At least 1 pair of sides are parallel
All 4 angles add up to 360 degrees
They all have 4 sides and are quadrilaterals
What is the formula for the area of a kite?
The area of a kite is found by multiplying the diagonals and dividing by 2
A regular polygon means
all sides and angles are congruent