Polygons
Quadrilaterals 1
Quadrilaterals 2
Miscellaneous
Anything Goes
100
Determine the measure of the interior angle RST in the regular polygon shown below.
What is 120 degrees?
100
Determine of the following is not true about a parallelogram:
A. Any two same side interior angles are supplementary.
B. Any two opposite sides are congruent.
C. Any two opposite angles are congruent.
D. The diagonals are congruent.
What is D. The diagonals are congruent?
100
QRST is a square. Which statement is false?
A. overline{QR} ∥ \overline{TS}
B. QS = RT
C. \overline{QR} ⊥ \overline{TQ}
D. QT ne QR
What is D. QT ne QR?
100
The measure of angle B.
What is 79 degrees? (x = 9)
100
The figure shows a trapezoid. Find the value of x.
What is 138 degrees?
200
Find the measure of an exterior angle of a regular 24-gon.
What is 15 degrees?
200
In the rectangle below, solve for angle HEF:
What is 67 degrees?
200
Classify each quadrilateral as a trapezoid, parallelogram, rectangle, rhombus, or square. Be as specific as possible.
What is
Rectangle,
Trapezoid,
Rhombus,
Square,
Parallelogram?
200
In parallelogram NPQR, if NS = 2x + 7 and NQ = 10x – 46, find SQ. Round to the nearest hundreth if needed.
What is SQ = 27? (x = 10)
200
In rhombus RMBS, which of the following statements is not necessarily true?
What is D? - only happens when the shape is square
300
The number of sides of the polygon if the interior angle of a regular polygon measures 135°
What is 8 sides?
300
ABCD is a rectangle. If DE = 4x + 1, EB = 12x – 31, and CD = 28, find AD. Round to the nearest hundreth if needed.
What is 19.29? (x = 4)
300
If PQRS is a rectangle, m∠PQS = (y + 34)° and m∠RSQ = (3y – 4)°, find each missing value.
y =
m∠PQS =
m∠QSP =
What is y = 19, m∠PQS = 53°, and m∠QSP = 37°
300
Solve for x. Round to the nearest hundreth if needed.
What is x = 8?
300
Find m∠R.
What is 57 degrees? (x = 10)
400
The sum of the interior angles of a polygon is 6300°. Find the number of sides.
What is 37 sides?
400
Trapezoid ABCD has bases AB and CD
m∠A=(4x-12)°, m∠B=(5x-17)°, and m∠D=(6x-8)°
Find the value of x. Double points for finding m∠C.
x = 20
m∠C = 97°
400
If MNOP is an isosceles trapezoid, MP = 16x – 13, NO = 9x + 8, PN = 5y + 19, and MO = 12y – 37, solve for x and y.
What is x = 3 and y = 8?
400
Solve for x.
What is x = 15?
400
In parallelogram WXYZ, determine which of the following pairs of angles are supplementary.
I. Y and Z
II. X and Z
III. W and Y
What is I. Y and Z ?
500
In the figure below, a regular polygon is partially covered by a piece of paper. Determine how many sides the polygon has.
What is 9 sides?
500
In rhombus HGFI, find m∠HGF.
What is 70 degrees? (x = 8)
500
In the parallelogram below, if m∠BCD = 65°, find m∠ADB.
What is 61 degrees? (x = 12)
500
Sum of the interior angles of the following convex shape:
What is 900 degrees?
500
Find the value of x.
What is x = 16?