Download GEO REVIEW TEST #1 Name: Date: 1. In which quadrilateral are the

GEO REVIEW TEST #1
Name:
1.
2.
Date:
In which quadrilateral are the diagonals
always congruent?
(1) rectangle
(3) rhombus
(2) trapezoid
(4) parallelogram
4.
In the accompanying diagram, AB and CD
intersect at E, E is the midpoint of AB, and
OA = OB.
Which statement can be used to prove
^ADE = ^BCE
3.
!
In the accompanying diagram, lines AB and
!
CD intersect at point E. If mOAED = (x + 10)
and mOCEB = 50, nd x.
(1) ASA = ASA
(3) SSS = SSS
(2) HL = HL
(4) SAS = SAS
5.
The measures of two complementary angles
are represented by x + 5 and 4x 15. Find
the value of x.
6.
If a base angle of an isosceles triangle
measures 35, nd the measure of the vertex
angle.
State the congruence relation for ^ ABC
and ^DEF.
(1) SSS
(2) SSA
(3) ASA
(4) SAS
page 1
7.
In the gure, IN = CK and IK k NC.
What congruence statement proves
^KNI = ^ NKC ?
9.
In the accompanying diagram, parallel lines
!
!
!
AB and CD are cut by transversal GH at E
and F, respectively. If mOBEF = (3x + 60),
nd the value of x.
10.
What is the image of point A after a
rotation of 90 in the clockwise direction?
(1) SSS
(2) SAS
(3) ASA
…
(4) not necessarily congruent
G
E
D
B
The drawing shows how to—

…
F
H
C
A

8.
(1) B
(2) C
(3) E
(4) F
(1) bisect an angle
(2) copy an angle
(3) create the angles of a parallelogram
(4) create the sides of an equilateral
triangle
11.
What is the rotational symmetry of a
regular nonagon?
(1) 60
page 2
(2) 45
(3) 40
(4) 30
GEO REVIEW TEST #1
12.
Melissa is walking around the outside of a
building that is in the shape of a regular
polygon. She determines that the measure
of one exterior angle of the building is 60 .
How many sides does the building have?
(1) 6
13.
(2) 9
(3) 3
16.
In the accompanying diagram, OACD is
an exterior angle of ^ABC. If mOB = 40,
mOA = 2x, and mOACD = 3x. What is the
value of x ?
17.
In the accompanying diagram of rhombus
ABCD, the lengths of the sides AB and
BC are represented by 3x 4 and 2x + 1,
respectively. Find the value of x.
(4) 12
The drawing shows how to—
(1) construct a perpendicular bisector
(2) draw complementary angles
(3) bisect an angle
(4) inscribe an angle
14.
15.
If the angles of a triangle are represented
by x, 3x + 20, and 6x, the triangle must be
(1) obtuse
(3) acute
(2) right
(4) isosceles
Find the sum of the measures of the interior
angles of a hexagon.
page 3
GEO REVIEW TEST #1
18.
State the congruence relation for ^XYZ and
^PQR.
20.
In the accompanying diagram of
parallelogram ABCD, mOA = 2x 10 and
mOB = 5x + 15. Find x.
21.
The Corresponding Angles Conjecture states
that if two parallel lines are cut by a
transversal, the alternate interior angles
are congruent. The picture below shows
this relationship.
(1) ASA
(2) AAA
(3) SAS
(4) not necessarily congruent
19.
The Corresponding Angles Conjecture states
that if two parallel lines are cut by a
transversal, the corresponding angles are
congruent. The picture below shows this
relationship.
To test this conjecture, which pair of
congruent angles are alternate interior
angles?
Which of these congruent angles are
corresponding angles?
(1) O1 and O4
(3) O4 and O8
(2) O1 and O3
(4) O4 and O3
page 4
(1) O1 and O4
(3) O4 and O8
(2) O2 and O8
(4) O3 and O5
GEO REVIEW TEST #1
22.
23.
!
In the accompanying diagram, ABC is a
!
!
straight line, BD ? BE, and mOCBE = 50.
Find mOABD.
25.
Which quadrilateral does not always have
congruent diagonals?
In the diagram, ^P0 Q0 R0 is the image of
^ PQR. Which type of transformation is
shown?
(1) re ection
(3) translation
(2) rotation
(4) dilation
(1) isosceles trapezoid
(2) rectangle
(3) rhombus
(4) square
26.
In the accompanying diagram, parallel lines
` and m are cut by transversal t. Which
statement about angles 1 and 2 must be
true?
24. In parallelogram ABCD shown below,
diagonals AC and BD intersect at E.
(1) O1 = O2
(2) O1 is a complement to O2
(3) O1 is a supplement to O2
Which statement must be true?
(1) AC = DB
(3) ^AED = ^ CEB
(2) OABD = OCBD
(4) ^DCE = ^BCE
(4) O1 and O2 are right angles
page 5
GEO REVIEW TEST #1
27.
What is the sum, in degrees, of the
measures of the interior angles of a stop
sign, which is in the shape of an octagon?
(1) 360
28.
(2) 1,080
(3) 1,440
31.
(4) 1,880
!
In the accompanying diagram, AB is
!
!
!
parallel to CD, and AB and CD are cut
!
by transversal EF at points G and H,
respectively. If mO EGA = (2x + 30) and
mOEHC = (x + 80), nd x.
32.
29.
!
In the accompanying diagram, lines AB,
!
!
CD, and EF intersect at G. If mODGB = 35
and mOCGF = 75, nd mOAGE.
A translation maps J(1; 4) onto K(7; 3).
Find the coordinates of the image of L(5; 10)
under the same translation.
33.
30.
In parallelogram ABCD, the measure of
O ABC is 130 . Find the measure, in
degrees, of ODAB.
(1) (11; 3)
(3) (1; 17)
(2) ( 11; 7)
(4) ( 1; 17)
!
!
In the accompanying diagram, AB k CD,
!
!
EF intersects AB at E and CD at F, and
!
GH intersects AB at G and EF at H.
If mOEGH = 40, mOGHE = 80, and
mOEFD = x, what is the value of x ?
Two angles are supplementary. If one angle
measures twice the other, nd the number
of degrees in the smaller angle.
page 6
GEO REVIEW TEST #1
34. A quadrilateral with exactly one pair of
parallel sides is a
38.
Which geometric
symmetry?
gure has 72 rotational
(1) rhombus
(3) square
(1) square
(2) rectangle
(4) trapezoid
(2) regular pentagon
(3) rhombus
(4) regular hexagon
35.
36.
A translation moves A( 3; 2) to A0 (0; 0).
Find B0 , the image of B(5; 4), under the
same translation.
(1) (8; 2)
(3) (7; 3)
(2) (2; 6)
(4) ( 8; 2)
39.
What is mOACB?
In ^ABC, mO A = 95, mO B = 50, and mOC
= 35. Which expression correctly relates the
lengths of the sides of this triangle?
(1) AB < BC < CA
(3) AC < BC < AB
(2) AB < AC < BC
(4) BC < AC < AB
(1) 40
40.
37.
What is the rotational symmetry of an
equilateral triangle?
(1) 120
(2) 100
(3) 90
!
!
In the accompanying diagram, AB k CD,
mOCAB = 80, and mODCB = 40.
(2) 60
(3) 80
(4) 120
What is the measure, in degrees, of each
exterior angle of a regular hexagon?
(1) 45
(2) 60
(3) 120
(4) 135
(4) 60
page 7
GEO REVIEW TEST #1
Problem-Attic format version 4.4.274
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GEO REVIEW TEST #1
1.
Answer:
1
2.
Answer:
1
3.
Answer:
Objective:
4.
Answer:
5.
Answer:
6.
Answer:
7.
Answer:
Objective:
1
G.CO.7
40
20
110
2
G.CO.7
11/04/2016
18.
Answer:
Objective:
4
G.CO.7
19.
Answer:
Objective:
3
G.CO.9
20.
Answer:
25
21.
Answer:
Objective:
4
G.CO.9
22.
Answer:
40
23.
Answer:
3
24.
Answer:
3
8.
Answer:
Objective:
2
G.CO.12
9.
Answer:
25.
Answer:
Objective:
2
G.CO.5
20
26.
Answer:
3
27.
Answer:
2
28.
Answer:
50
29.
Answer:
Objective:
1
G.CO.6
30.
Answer:
60
31.
Answer:
50
32.
Answer:
70
33.
Answer:
60
34.
Answer:
4
10.
Answer:
Objective:
4
G.CO.2
11.
Answer:
Objective:
3
G.CO.3
12.
Answer:
1
13.
Answer:
Objective:
3
G.CO.12
14.
Answer:
1
15.
Answer:
720
16.
Answer:
40
17.
Answer:
5
Teacher's Key
35.
Answer:
Objective:
1
G.CO.6
36.
Answer:
2
37.
Answer:
Objective:
1
G.CO.3
38.
Answer:
Objective:
2
G.CO.3
39.
Answer:
2
40.
Answer:
2
Page 2