True / False
A diagonal of a parallelogram creates two congruent triangles.
True (Work #11.)
Both pairs of opposite angles of the quadrilateral are congruent, but all angles are not congruent.
What is a parallelogram. (Work #4.)
If the perimeter of a rhombus is 48, what is the length of one of its sides?
48/4 =..........12! All sides are equal. (Work #26.)
The diagonals of a kite intersect form __________ angles.
90 degree / perpendicular (Work question 1.)
Your crush comes up one day 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 ________ degrees.
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.
If the perimeter of a parallelogram is 48 in, and one side is 1/3 the length of the adjacent side, what is the length of each side?
Two sides are 18 in, and the other two sides are 6 in. (Work #8.)
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, but they are also _________.
congruent
All squares are rhombi.
True (Work #2.)
All sides are congruent, but not all angles are congruent.
What is a rhombus.
Given a rectangle FGHJ, name the 2 diagonals?
FH and GJ.
The difference between the 2 pairs of congruent sides of a kite and those of a parallelogram is _____________.
the congruent sides are not opposite each other but instead are adjacent (consecutive). (Work #15.)
If Square ABCD has a side length of 12 then the length of its diagonal is __________.
12√2 or 17.0 (Work #6.)
A parallelogram can be a trapezoid, but a trapezoid may not always be a parallelogram.
False - a trapezoid 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 difference between the diagonals in a trapezoid and a parallelogram is _________.
the diagonals of a trapezoid do not bisect each other
True or false - a convex quadrilateral is one where all sides are equal.
False - convex simply means all vertices point outward, away from the center, ensuring no inward dents or "caves."
The diagonals of a rectangle are angle bisectors.
No - only rhombi and squares' diagonals are angle bisectors. (Work #3.)
I have one pair of parallel sides, and the other pair are congruent.
What is an isosceles trapezoid
Name at least 2 characteristics that are 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 so are quadrilaterals. (Work #19.)
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 is one where __________.
all sides and angles are congruent