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Geometry
Unit 6 Review Assignment
Revised Summer 08
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Competency 1: Properties of Special
Quadrilaterals – Part 1
9.
Find the length of the sides of the isosceles
trapezoid PQRS below.
Decide whether the statement is always,
sometimes or never true.
1a.
A parallelogram is a trapezoid.
1b.
TRUE or FALSE Some, but not all,
squares are parallelograms.
2.
S
2x - 1
Use slope and/or distance formulas to
determine the most precise name for the
quadrilateral with the given vertices.
A (-2, 1); B (0, 3); C (2, 1); D(0, -1).
4x - 3
Q
3.
Use slope and/or distance formulas to
determine the most precise name for the
quadrilateral with the given vertices.
A (1, 1); B (1, -3); C (6, 2); D(4, 4).
4.
Name all special quadrilaterals that satisfy
the following condition: TWO PAIRS OF
CONGRUENT SIDES
5.
2x + 3
P
10.
R
6x - 3
Use the information provided in the drawing
to find the value of the variables. The figure
is a parallelogram.
DC = 4x - y + 1
D
On a grid, draw a rectangle that is also a
rhombus.
2x - 1
3y + 5
Competency 2: Properties of Special
Quadrilaterals – Part 2
6.
Find the measures of the numbered angles
in each of the figures below.
1
Competency 3: Transformations
2
11.
70°
7.
C
Using the drawing of the quadrilateral ABCD
below, draw its reflection image across the
y-axis.
Find the value of the variable from the figure
below.
y
A
x°
8.
D
4y-6x
x+1
C
A
y-3
2x-4
D
C
x
(2x)°
Find the lengths of the sides of rhombus
ABCD in the diagram below.
B
Page 1 of 4
B
© Mastery Mathematics
Geometry
12.
Unit 6 Review Assignment
18.
Using the drawing below, what is the image
of B under the translation 4,1 .
Revised Summer 08
Which hexagon has exactly 1 line of
symmetry? Sketch it in.
y
B.
A.
x
C.
For questions 19 & 20, identify what type of
symmetry the figure has. If it has reflectional
symmetry, draw the line(s) of symmetry. If it has
rotational symmetry, state the angle of rotation.
19.
Use the figure on the grid below for questions
13 – 15.
y
20.
x
HOOD
Competency 5: Distributed Practice 1
21.
Ray BD bisects <ABC. If the
m<DBC = 28 º, what is the m<ABD?
a.14 º b. 28 º c. 56 º d. 62 º e. 152 º
13.
Sketch a reflection about the x axis.
14.
Sketch a rotation of 90º counterclockwise
about the origin.
15.
22. Let p be “It is raining,” let q be “It is thundering.”
Sketch a rotation of 180º counterclockwise
about the origin.
Competency 4: Symmetry & Coordinate
Transformations
16.
Draw the line of symmetry for the following
figure.
17.
Sketch a triangle that has no lines of
symmetry.
Page 2 of 4
© Mastery Mathematics
What is the converse of p  q
a. If it is thundering, then it is raining.
b. If it is not raining, then it is not thundering.
c. If it is not thundering, then it is not raining.
d. If it is not thundering, then it is raining.
e. If it is thundering, then it is not raining.
Geometry
Unit 6 Review Assignment
23.
t
1 2
3 4
m
5
n
6
7 8
Choose the reason the statement “If the m<1 = 85º
Then m<5 = 85º” is true.
a. Alternate Interior Angles Theorem
b.Alternate Exterior Angles Theorem
c. Consecutive Interior Angles Theorem
d. Vertical Angles Theorem
e. Corresponding Angles Postulate
24.
V
X
Y
Z
W
Use the diagram above.
Which congruence is correct to prove YZV  YWX.
VY  XY by SAS Congruence Postulate
b. VZ  XW by SAS Congruence Postulate
c. VZ  XW by SSA Congruence Postulate
a.
d. A or B
e. B or C
25.
A triangle has two sides that
have lengths of 8 cm and 14 cm. Which length
below could not represent the length of the third
side?
a. 7 cm
b. 13 cm
c. 18 cm
d. 22 cm
e. 15 cm
Page 3 of 4
© Mastery Mathematics
Revised Summer 08
Geometry
Unit 6 Review Assignment
Unit Review Answers
14.
Revised Summer 08
y
ANSWERS:
1a.
1b.
2.
3.
4.
5.
6.
7.
8.
9.
10.
never
False, a square has parallel opposite
sides.
square
trapezoid
parallelograms, rhombuses, rectangles
and squares.
correct drawing is a square
A. m1  110, m2  70
B. m1 = 65, m2 = 65
x = 60
AB = BC = CD = DA = 6
PS = 5; QR = 3; PQ = SR = 1
A. x = 7.5, y = 3
B. x = 5, y = 2.5
11.
x
15.
x
16.
y
17.
x
12.
13.
y
answers can vary, but it needs to be a
non-isosceles triangle
18.
J
19.
20.
rotational symmetry (180˚)
reflectional symmetry
HOOD
21.
22.
23.
24.
25.
Page 4 of 4
© Mastery Mathematics
b. 28 º
a. If it is thundering, then it is raining.
c. Consecutive Interior Angles Theorem
a. VY  XY by SAS Congruence Postulate
d. 22 cm