Download untitled Name: Date: 1. Which statement is true about every

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Name:
1.
Date:
Which statement is true about every parallelogram?
A.
All four sides are congruent.
B.
The interior angles are all congruent.
C.
Two pairs of opposite sides are congruent.
4.
In the diagram below, ^A0 B0 C0 is a transformation
of ^ABC, and ^A00 B00 C00 is a transformation of
^A0 B0 C0 .
D. The diagonals are perpendicular to each other.
2.
In the diagram below of quadrilateral ABCD,
AB k CD, OABC = OCDA, and diagonal AC is
drawn.
The composite transformation of ^ABC to
^A00 B00 C00 is an example of a
Which method can be used to prove that ^ABC is
congruent to ^CDA?
A.
3.
AAS
B.
SSA
C.
SAS
D. SSS
What is the length of BD ?
5
B.
9
C.
3
re ection followed by a rotation
B.
re ection followed by a translation
C.
translation followed by a rotation
D. translation followed by a re ection
In the diagram below of right triangle ABC, CD
is the altitude to hypotenuse AB, CB = 6, and
AD = 5.
A.
A.
D. 4
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5.
In the diagram below, line p intersects line m and
line n.
8.
Which value of x would make lines n and m
parallel?
If mO1 = 7x and mO 2 = 5x + 30, lines m and n
are parallel when x equals
A.
6.
12.5
B.
15
C.
87.5
A.
D. 105
9.
In the diagram below, parallelogram ABCD has
diagonals AC and BD that intersect at point E.
10.
Which expression is not always true?
7.
A.
ODAE = OBCE
B.
C.
AC = DB
D. DE = EB
ODEC = OBEA
rhombus
B.
C.
parallelogram
D. isosceles trapezoid
110
B.
80
C.
70
D. 50
The coordinates of point A are ( 3a; 4b). If
point A0 is the image of point A re ected over the
line y = x, the coordinates of A0 are
A.
(4b; 3a)
B.
(3a; 4b)
C.
( 3a; 4b)
D. ( 4b; 3a)
The diagonals of a quadrilateral are congruent but
do not bisect each other. This quadrilateral is
A.
an isosceles trapezoid
B.
a parallelogram
C.
a rectangle
D. a rhombus
Which quadrilateral has diagonals that always
bisect its angles and also bisect each other?
A.
In the diagram below, lines n and m are cut by
transversals p and q.
11.
rectangle
The angles of triangle ABC are in the ratio of
8 : 3 : 4. What is the measure of the smallest
angle?
A.
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12
B.
24
C.
36
D. 72
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12.
In the diagram below of rhombus ABCD,
mOC = 100.
14.
In the diagram below, point P is the centroid of
^ABC.
If PM = 2x + 5 and BP
of PM?
What is mODBC?
A.
13.
40
B.
45
A.
C.
50
D. 80
15.
The diagram below shows a pair of
congruent triangles, with OADB = OCDB and
OABD = O CBD.
16.
9
B.
2
7x + 4, what is the length
C.
18
D. 27
Which gure has 60 rotational symmetry?
A.
square
B.
regular pentagon
C.
equilateral triangle
D. regular hexagon
In the diagram below of, ABCD, AC = BD
Using this information, it could be proven that
Which statement must be true?
A.
OADB + OCBD
B.
C.
AB = CD
D. AD = CD
A.
BC = AB
C.
AD
BC = CD
B.
AB = CD
D. AB + CD = AD
OABC + OADC
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17.
In the diagram below, under which transformation
is ^A0 B0 C0 the image of ^ABC ?
19.
In the diagram of trapezoid ABCD below, AB k DC,
AD = BC, mOA = 4x + 20, and mOC = 3x 15.
What is mOD ?
A.
20.
18.
A.
D2
C.
ry
B.
2; y)
1
CB
2
C.
AD
DE
=
DC
CB
B.
60
D. 90
120
B.
100
C.
90
D. 60
!
!
In the accompanying diagram, AB and CD intersect
at E. Angles AEC and DEB measure 2x 6 and
6x 50, respectively. Find the value of x.
22.
If the three angles of a triangle are represented by
(x + 30) , (4x + 30) , and (10x 30) , the triangle
must be
If DE joins the midpoints of ADC and AEB, which
statement is not true?
DE =
C.
21.
Triangle ABC is shown in the diagram below.
A.
35
axis
D. (x; y) ! (x
axis
B.
What is the rotational symmetry of an equilateral
triangle?
A.
rx
25
DE k CB
D. ^ABC
23.
^AED
A.
obtuse
B.
isosceles
C.
right
D. scalene
In the accompanying diagram, OACD is an
exterior angle of ^ABC, mOA = 3x, mOACD = 5x,
and mOB = 50. What is the value of x ?
A.
25
B.
30
C.
60
D. 100
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24.
The measures of two consecutive angles of a
parallelogram are in the ratio 5:4. What is the
measure of an obtuse angle of the parallelogram?
A.
25.
20
B.
80
C.
100
30.
In the diagram below of ^ABC, side BC is
extended to point D, mOA = x, mOB = 2x + 15,
and mOACD = 5x + 5.
D. 160
!
!
In the accompanying diagram, AGB k CED,
mOAGF = 30, and mOCEF = 45. What is
mOGFE ?
A.
45
B.
52
C.
60
D. 75
What is mOB ?
26.
The expression
radical form is
A.
p
5 2
B.
p
72
p
3 6
p
3 2 written in simplest
C.
p
3 2
p
D.
6
27.
In the diagram below of ^ACD, B is a point on
AC such that ^ADB is an equilateral triangle, and
^DBC is an isosceles triangle with DB = BC.
Find mOC.
28.
A quadrilateral whose diagonals are always
congruent is a
29.
A.
A.
parallelogram
B.
C.
rhombus
D. trapezoid
5
B.
20
C.
25
D. 55
31.
If two angles are supplementary and one angle is
twice as large as the other, nd the number of
degrees in the measure of the smaller angle.
32.
In the diagram below, ^ABC and ^XYZ are
graphed.
rectangle
Use the properties of rigid motions to explain why
^ABC = ^XYZ.
The measures of two complementary angles are
represented by x + 5 and 4x 15. Find the value
of x.
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33.
In the diagram below of ^GJK, H is a point on
GJ, HJ = JK , mOG = 28, and mOGJK = 70.
Determine whether OGHK is an isosceles triangle
and justify your
36.
Using a compass and straightedge, construct a line
perpendicular to AB through point P.
34.
On the diagram below, use a compass and
straightedge to construct the bisector of OXYZ.
37.
Construct equilateral triangle ABC using line
segment AB as one side.
[Leave all construction marks.]
A
38.
B
Given: AD bisects BC at E.
AB ? BC
DC ? BC
Prove: AB = DC
35.
Construct the median to side AC in ^ABC.
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