Polygons are named by the number of ___________ and ________.
What is sides and angles
100
This is a property that the diagonals of a parallelogram have.
What is the diagonals bisect each other
100
A rhombus is always, sometimes or never a parallelogram.
What is always
100
A rectangle is always, sometimes, or never a square.
What is sometimes
100
These are the two words you can use to describe a square, or any regular polygon.
What is equiangular and equilateral
200
A polygon that has all the sides the same length and all angles the same measure.
What is regular
200
ABCD is a parallelogram and angle A = 2x + 40, and angle B = 3x - 10. Explain how you would set up the equation.
Add the expressions and set them equal to 180 degrees.
(Consecutive angles are supplementary)
200
The angle formed by the diagonals of a rhombus.
What is 90 degrees (or right angle)
200
The slopes of consecutive sides of a rectangle have this relationship.
What is opposite reciprocals
200
These are three categories that a square is a part of.
What is rhombus, rectangle, parallelogram
(also acceptable: quadrilateral)
300
This is the formula to find the sum of interior angles in a polygon.
What is (n-2)*180
300
If ABCD is a parallelogram, and AB = 3x - 5, and BC = 6x - 2, and AD = 2x + 12, explain the equation used to solve for x.
Set the expressions for sides BC and AD equal to each other.
(Opposite sides congruent) & (x = 3.5; AD = BC = 19)
300
In rhombus MNOP, MN = 24, and NO = 2x + 6. This is the value of x.
What is 9
300
Which of the following is true for all rectangles?
A. The diagonals are perpendicular.
B. The diagonals are equal.
C. One pair of parallel sides.
What is B
300
Both diagonals in a square form four triangles with this relationship.
What is congruent
400
This is the formula to find the measure of one exterior angle in a regular polygon.
What is 360/n
400
In parallelogram PQRS, PR and PS intersect at point T. PT = 3y - 7, TR = 2x, QT = y, and ST = x + 1. Find the values of x and y.
What is x = 4, y = 5
400
These are the three properties that the diagonals of a rhombus have.
What is
1. Diagonals bisect each other (all parallelograms)
2. Diagonals are perpendicular (rhombus)
3. Diagonals are angle bisectors (rhombus)
400
This is what the sides of a rectangle sum to.
What is ANYTHING! (Angles must sum to 360)
400
JKLM is a square. If JL = 4x - 12 and MK = x, this is the value of x and the value of each diagonal.
What is 4 and 4
500
This is the formula to find the measure of one interior angle in a regular polygon.
What is (n-2)*180/n
500
In parallelogram ABCD, diagonals AC and BD intersect at E. If angle A = 85, and AE = 3x + 10, and EC = 7x - 30, find the measure of angle C and the value of x.
What is angle C = 85, x = 10.
500
In rhombus ABCD, the diagonals intersect at E. If AC = 20, and BD = 48, this is the measure of AB.
What is 26.
500
In rectangle ABCD, the diagonals intersect at E. AE = 4x + 20, BC = 7x + 12, and DE = 8x + 4. This is the value of x.
What is 4
500
In square DEFG, DF = 4y - 7 and EG = 2y + 13. This is the value of y.