Parallelograms
Rhombuses
Rectangles
Squares
Gadsden High
100
Name a property that the diagonals of a parallelogram have.
The diagonals bisect each other.
100
In Rhombus MNOP, MN = 24, and NO = 2x + 6. What is the value of x?
x = 9
100
Name the 2 properties that the diagonals of a rectangle have.
They are congruent and bisect each other.
100
What do we know about a square's sides and angles?
A square has 4 congruent sides and 4 congruent (90 degree) angles.
100

When Does 1st period end?

What is 9:40am?

200
If 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
Can the same shape be classified as a rhombus and a square? Explain.
Yes, it would look like a square. It has all the properties of a rhombus plus right angles.
200
In rectangle ABCD, AC = 7x and BD = 3x + 20. What is the value of x?
x = 5.
200
Can a rhombus be a square? Explain.
Yes, but it would need to have right angles.
200

What is Gadsden High  School Moscot?

What is the Jaguar?

300
If ABCD is a parallelogram, and AB = 3x - 5, and BC = 6x - 2, and AD = 2x + 12. Explain the equation used to solve the problem.
Set the expressions for sides BC and AD equal to one another.
300
In rhombus ABCD, diagonals AC and BD intersect at E. If the measure of angle BAD = 72, what is the measure of angle CED?
Angle CED = 54, use the right triangles, and the fact that the angles bisect the corner angles.
300
In rectangle ABCD, the diagonals intersect at E. AE = 4x + 20, BC = 7x + 12 and DE = 8x + 4. What is the value of x?
x = 4
300
Name at least 4 properties of a square.
(DIAGONALS): perpendicular, congruent, bisect each other, bisect the angles (SIDES): all 4 sides are congruent, opposite sides parallel ( ANGLES): All 4 angles are congruent, consecutive angles are supplementary.
300

Name 2 principal assistant of Gadsden High 

Mr. Vernon

Mr. Wilson

Ms. Wiggins

400
To prove a quadrilateral is a parallelogram, show which of the following: ( You may choose more than one. ) I.) Both pairs of opposite sides are congruent. II.) Both pairs of opposite sides are parallel. III.) One pair of sides are parallel and congruent. IV.) The diagonals are congruent.
I, II, and III only. The diagonals are not congruent, they BISECT EACH OTHER.
400
Name the 3 properties that the diagonals of a rhombus have.
diagonals bisect each other diagonals are perpendicular diagonals bisect the angles
400
What do the sides of a rectangle add up to?
The SIDES could ADD to anything. ( The angles add to 360. )
400
If the sum of the lengths of the diagonals of a square is 12 cm, what is the length of one diagonal?
6 (diagonals are congruent so divide the sum by 2).
400

What is the street address (number and name) for Gadsden High School?

27001 Blue Star Hwy, Havana, FL 32333

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.
Angle C is 85 degrees, and x = 10, b/c the diagonals bisect each other.
500
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.
500
a) Every rectangle is a square. b) Every square is a rectangle. Choose the correct statement and explain.
b) A square is a special type of rectangle. Some rectangles are squares, but not all as they do not necessarily have 4 congruent sides.
500
Square DEFG has DE=3x+2, EF=6+x, and EG=x(sqrt2). Solve for x.
x=2. Set DE=EF. EG is the diagonal.
500

Name the 2 Geometry Teachers at Gadsden High School

Mr. Edwards 

Mr. Yee

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