WorksheetslHS Geo Unit 3 Quiz / PT
Total questions: 32
Worksheet time: 1hrs 4mins
What is the sum of the angle measures of a 35-gon?
5940
6660
6120
6300
Complete this statement: A polygon with ONLY all sides the same length is said to be ____.
regular
equilateral
equiangular
convex
What is the measure of one angle in a regular 30-gon?
192
84
168
5040
Find the value of x. The diagram is not to scale.
90
45
35
145
Find m∠A. The diagram is not to scale.
107
117
63
73
How many sides does a regular polygon have if each exterior angle measures 30?
15 sides
12 sides
14 sides
11 sides
Complete this statement: The sum of the measures of the exterior angles of an n-gon is ____.
(n - 2)180
360
(n - 2)180/n
180n
In the parallelogram, $m\angle KLO = 78$ and $m\angle MLO = 42$. Find $m\angle KJM$.
110
120
78
60
For the parallelogram, if $m\angle 2 = 4x - 20$ and $m\angle 4 = 3x - 11$, find $m\angle 1$.
9
16
164
174
Find $AM$ in the parallelogram if $PN = 15$ and $AO = 6$.
12
6
15
7.5
In the figure, the horizontal lines are parallel and $ AB = BC = CD $. Find $ KL $ and $ FG $.
KL = 8.7, FG = 8.7
KL = 8.7, FG = 8.6
KL = 8.6, FG = 8.7
KL = 8.6, FG = 8.6
Find values of $ x $ and $ y $ for which $ ABCD $ must be a parallelogram.
x = 8, y = 6
x = 6, y = 8
x = 8, y = 17
x = 8, y = 10
If $ ON = 5x - 7 $, $ LM = 4x + 4 $, $ NM = x - 7 $, and $ OL = 3y - 4 $, find the values of $ x $ and $ y $ for which $ LMNO $ must be a parallelogram.
x = 4, y = 8/3
x = 11, y = 8/3
x = 4, y = 3/8
x = 11, y = 3/8
Based on the information in the diagram, which property can prove that the figure is a parallelogram?
Yes, Diagonals bisect each other
No, you cannot prove that the quadrilateral is a parallelogram
Yes, two opposite sides are both parallel and congruent
Because I am all knowing and what I say goes
Which description does NOT guarantee that a quadrilateral is a square?
has all sides congruent and all angles congruent
is a parallelogram with perpendicular diagonals
has all right angles and has all sides congruent
is both a rectangle and a rhombus
Which Venn diagram is NOT correct?
A
B
C
D
In the rhombus, m∠1 = 15x, m∠2 = x + y, and m∠3 = 30z. Find the value of each variable.
x = 12, y = 84, z = 6
x = 12, y = 174, z = 3
x = 6, y = 84, z = 3
x = 6, y = 174, z = 6
In the rhombus, m∠1 = 140. What are m∠2 and m∠3?
m∠2 = 40, m∠3 = 70
m∠2 = 140, m∠3 = 20
m∠2 = 40, m∠3 = 20
m∠2 = 140, m∠3 = 70
Find the measure of the numbered angles in the rhombus.
m∠1 = 90, m∠2 = 24, and m∠3 = 78
m∠1 = 90, m∠2 = 66, and m∠3 = 24
m∠1 = 90, m∠2 = 24, and m∠3 = 24
m∠1 = 90, m∠2 = 24, and m∠3 = 66
DEFG is a rectangle. DF = 5x - 3 and EG = x + 5. Find the value of x and the length of each diagonal.
x = 1, DF = 6, EG = 6
x = 2, DF = 7, EG = 12
x = 2, DF = 6, EG = 6
x = 2, DF = 7, EG = 7
In rectangle KLMN, KM = 10x + 24 and LN = 64. Find the value of x.
5
4
3
40
In rectangle PQRS, PR = 18x - 28 and QS = x + 380. Find the value of x and the length of each diagonal.
x = 24, PR = 202, QS = 202
x = 12, PR = 392, QS = 392
x = 24, PR = 404, QS = 404
x = 25, PR = 422, QS = 422
∠J and ∠M are base angles of isosceles trapezoid JKLM. If m∠J = 18x + 8, and m∠M = 11x + 15, find m∠K.
1
154
77
26
Find m∠1 and m∠3 in the kite. The diagram is not to scale.
m∠1 = 17, m∠3 = 73
m∠1 = 17, m∠3 = 17
m∠1 = 73, m∠3 = 17
m∠1 = 73, m∠3 = 73
m∠R = 120 and m∠S = 110. Find m∠T. The diagram is not to scale.
60
10
110
20
Find the values of the variables and the lengths of the sides of this kite.
x = 9, y = 14; 11, 20
x = 14, y = 9; 11, 11
x = 14, y = 9; 6, 16
x = 9, y = 14; 6, 16
Complete this statement: For parallelogram ABCD, BO ≡ ___.
DO
AO
CO
AB
For what values of x and y must this quadrilateral be a parallelogram? Find the lengths of the sides.
x = 5, y = 3; sides: 5, 5, 3, 3
x = 4, y = 3; sides: 12, 36
x = 6, y = 2; sides: 6, 6, 2, 2
x = 7, y = 1; sides: 7, 7, 1, 1
Judging by appearance, classify the figure in as many ways as possible using rectangle, square, quadrilateral, parallelogram, rhombus.
Rectangle, Square, Quadrilateral
Rectangle, Parallelogram, Rhombus
Quadrilateral, Parallelogram
Rectangle, Square, Quadrilateral, Parallelogram, Rhombus
Give the name that best describes the parallelogram and find the measures of the numbered angles.
Rectangle with angles 90° each
Rhombus with angles 42°
Square with angles 90° each
Parallelogram with angles 70° and 110°
In the coordinate plane, draw ΔJKL with J(2, 3), K(10, 4), and L(6, 10). Classify ΔJKL.
Equilateral
Isosceles
Scalene
Right
In the coordinate plane, draw parallelogram ABCD with A(–5, 0), B(2, –6), C(8, 1), and D(1, 7). Then demonstrate that ABCD is a rectangle. Which of the following properties confirms that ABCD is a rectangle? (Select all that apply)
All sides are equal.
Opposite sides are parallel and equal.
All angles are 90 degrees.
Diagonals bisect each other at right angles.
