If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral could be:
What is a kite, trapezoid, or irregular
100
Square LMNO has coordinates L(-6,1), M(1,1), N(1,8), and O(-6,8). What are the coordinates of the midpoint of LN?
What is (-5⁄2,9⁄2)
100
I want to prove that quadrilateral ABCD is a rhombus. What do I need to prove first?
that quadrilateral ABCD is a parallelogram
100
Parallelogram ABCD has diagonals AC and BD. the m ‹ADB = 45° and m‹DCB = 120°. What is m ‹CDB?
15°
100
Parallelogram ABCD has diagonals AC and BD. the m ‹ADB = 45° and m‹DCB = 120°. What is m ‹CDB?
15°
200
All Quadrilaterals are rectangles
What is False
200
The endpoints of AB are A(-4,5) and B(2,-5). What is the length of AB?
2√34
200
I'm trying to prove that a parallelogram is a rhombus. I just found that the slopes of the diagonals are 2⁄3 and -3⁄2. How can I write the explanation?
Diagonals of a rhombus are perpendicular to each other. Since 2⁄3 and -3⁄2 are opposite reciprocals, the diagonals of the parallelogram are perpendicular, therefore it is a rhombus.
200
Can a rhombus be a rectangle? If so, draw a picture. If not, explain why not.
Yes, it would look like a square. It has all the properties of a rhombus and rectangle.
200
The formula used to find the length of a segment
What is the distance formula?
300
A quadrilateral whose diagonals bisect each other MUST be a _______.
What is a parallelogram
300
The midpoint formula
What is (x2+x1⁄2,y2+y1⁄2)
300
I just proved that quadrilateral ABCD is a rhombus. I want to prove it is not a square. What information do I need to prove it is not a square?
You must prove that all angles are not 90 degrees.
300
If ABCD is a parallelogram, and AB = 3x - 5, and BC = 6x - 2, and AD = 2x + 12. Explain the equation to use to solve the problem.
Set the expressions for sides BC and AD equal to one another.
300
A quadrilateral has the following properties: Its diagonals bisect the angles. Its diagonals are not congruent. Choose any of the following that it could be. I.) isosceles trapezoid II.) rhombus III.) rectangle IV.) parallelogram V.) square
II.) rhombus only
400
These are all of the properties of a parallelogram
What is opposite sides are parallel and congruent, opposite angles are congruent, consecutive angles are supplementary, and diagonals bisect each other.
400
Point M is the midpoint of LQ. If the coordinates are L(-8,2) and M(-10,-3), what are the coordinates of Q?
(-12,-8)
400
I'm trying to prove that ABCD is a parallelogram. I just found that the midpoints of both diagonals are (8,9). How do I write the explanation?
The fourth theorem of parallelograms states that diagonals bisect each other. If they meet at the same midpoint then both diagonals are bisected, proving that ABCD is a parallelogram.
400
In rhombus ABCD, the diagonals are drawn and intersect at E. If AC = 20, and BD = 48, what is the measure of AB?
Use the fact that the diagonals bisect each other and are perpendicular. Each right triangle has legs of 10 and 24. Use the pythagorean theorem to figure out that AB = 26.
400
A quadrilateral has these properties: Diagonals bisect each other. Diagonals are congruent. Choose any of the following that it could be. I.) isosceles trapezoid II.) rhombus III.) rectangle IV.) parallelogram V.) square
III.) rectangle and V.) square
500
These Quadrilaterals always have congruent diagonals.
What are Squares and Rectangles
500
The slope formula
What is m=y2-y1⁄x2-x1
500
What is needed to prove that a triangle is an isosceles right triangle?
You need to prove that the legs are perpendicular to each other and congruent.
500
If a rectangle and a rhombus had a child, what would it look like? Why?
It would be a square. A square has all of the properties of a rectangle and a rhombus.
500
The diagonal of a square is 6 cm. What is the length of one side of the square? Leave your answer in simplest radical form.