Geometry Regents Exam 0116
Page 1
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1 What is the equation of a circle with its center at
1)
2)
3)
4)
2 In the diagram below,
The ratio of the measure of
1)
2)
3)
4)
and a radius of 3?
is inscribed in circle O.
to the measure of
is
3 In the diagram below of rectangle RSTU, diagonals
and
If
1)
2)
3)
4)
and
, what is the length of
intersect at O.
?
8
2
16
32
4 How many points are 3 units from the origin and also equidistant from both the x-axis and
y-axis?
1) 1
2) 2
3) 0
4) 4
Geometry Regents Exam 0116
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5 The converse of the statement “If a triangle has one right angle, the triangle has two acute
angles” is
1) If a triangle has two acute angles, the
triangle has one right angle.
2) If a triangle has one right angle, the triangle
does not have two acute angles.
3) If a triangle does not have one right angle,
the triangle does not have two acute angles.
4) If a triangle does not have two acute angles,
the triangle does not have one right angle.
6 The surface area of a sphere is 2304 square inches. The length of a radius of the sphere,
in inches, is
1) 12
2) 24
3) 288
4) 576
7 As shown in the diagram below of
.
Which statement is true?
1)
2)
3)
4)
,
is extended through D,
, and
Geometry Regents Exam 0116
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8 In trapezoid LMNO below, median
If
1)
2)
3)
4)
,
, and
is drawn.
, what is the value of x?
1.75
3.5
8
17
9 Points A and B are on line . How many points are 3 units from line and also equidistant
from A and B?
1) 1
2) 2
3) 3
4) 4
10 The lines whose equations are
1)
2)
3)
4)
and
will be perpendicular when m is
Geometry Regents Exam 0116
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11 As shown in the diagram below, M, R, and T are midpoints of the sides of
If
1)
2)
3)
4)
,
, and
, what is the perimeter of quadrilateral ACRM?
35
32
24
21
12 In the diagram below,
If
1)
2)
3)
4)
and
. Transversal
, what is
and line segment HF are drawn.
?
40
50
60
70
13 The graphs of the lines represented by the equations
1)
2)
3)
4)
.
parallel
horizontal
perpendicular
intersecting, but not perpendicular
and
are
Geometry Regents Exam 0116
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14 Which graph represents a circle whose equation is
1)
?
2)
3)
4)
15 In
1)
2)
3)
4)
,
25
30
40
46
and
. If
. What is the value of x?
is extended through point B to point D,
Geometry Regents Exam 0116
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16 In circle O shown below, chord
intersect at point E.
and diameter
are parallel, and chords
and
Which statement is false?
1)
2)
3)
4)
17 When the transformation
are the coordinates of A?
1)
2)
3)
4)
is performed on point A, its image is point
18 If the sum of the interior angles of a polygon is 1440°, then the polygon must be
1) an octagon
2) a decagon
3) a hexagon
4) a nonagon
. What
Geometry Regents Exam 0116
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19 In
If
1)
2)
3)
4)
shown below, medians
and
,
, and
intersect at point R.
, what is the value of x?
9
12
15
27
20 Which equation represents a line that passes through the point
line whose equation is
?
1)
2)
3)
4)
21 The bases of a right prism are triangles in which
, what is the length of
?
1) 9
2) 12
3) 15
4) 18
22 Triangle ABC has the coordinates
,
, and
line
, which statement is true about the image of
1) One point remains fixed.
2) The size of the triangle changes.
3) The orientation does not change.
4) One side of
is parallel to the line
.
and is parallel to the
. If
. If
?
,
, and
is reflected over the
Geometry Regents Exam 0116
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23 A right circular cone has a diameter of
the cone in terms of ?
1)
2)
3)
4)
and a height of 12. What is the volume of
24 Which statement is not always true when
1)
2)
3)
4)
25 If two sides of a triangle have lengths of
.
and , which fraction can not be the length of
the third side?
1)
2)
3)
4)
26 In the diagram below of
.
What is the value of x?
1) 0.5
2) 2
3) 5.5
4) 6
,
,
,
,
,
,
, and
Geometry Regents Exam 0116
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27 Given:
bisects
at C
and
are drawn
Which statement is needed to prove
1)
and
are right angles.
2)
bisects
at C.
3)
4)
28 In the construction shown below,
In
1)
2)
3)
4)
using ASA?
is drawn.
,
is the
perpendicular bisector of side
median to side
altitude to side
bisector of
29 The sides of a triangle measure 7, 4, and 9. If the longest side of a similar triangle
measures 36, determine and state the length of the shortest side of this triangle.
Geometry Regents Exam 0116
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30 Triangle ABC has coordinates
and label
, the image of
31 In parallelogram RSTU,
x.
,
, and
. On the set of axes below, graph
after a dilation of
and
.
. Determine and state the value of
32 Determine and state the length of a line segment whose endpoints are
and
.
33 The base of a right pentagonal prism has an area of 20 square inches. If the prism has an
altitude of 8 inches, determine and state the volume of the prism, in cubic inches.
Geometry Regents Exam 0116
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34 Using a compass and a straightedge, construct the bisector of
construction marks.]
. [Leave all
35 The coordinates of
, shown on the graph below, are
,
, and
.
Graph and label
, the image of
after it is reflected over the y-axis. Graph
and label
, the image of
after it is reflected over the x-axis. State a
single transformation that will map
onto
.
Geometry Regents Exam 0116
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36 On the set of axes below, solve the following system of equations graphically and state the
coordinates of all points in the solution.
37 Given: Triangle RST has coordinates
,
Prove:
is a right triangle
[The use of the set of axes below is optional.]
, and
Geometry Regents Exam 0116
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38 In right triangle FGH shown below,
and
.
, altitude
is drawn to
Determine and state the length of . Determine and state the length of
algebraic solutions can receive full credit.]
,
. [Only
,
Geometry Regents Exam 0116
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1 ANS:
TOP:
2 ANS:
TOP:
3 ANS:
2
PTS: 2
Equations of Circles
2
PTS: 2
Arcs Determined by Angles
3
REF: 011601ge
STA: G.G.71
REF: 011602ge
KEY: inscribed
STA: G.G.51
PTS:
4 ANS:
TOP:
5 ANS:
TOP:
6 ANS:
2
REF: 011603ge
4
PTS: 2
Locus
1
PTS: 2
Converse and Biconditional
2
STA: G.G.39
REF: 011604ge
TOP: Special Parallelograms
STA: G.G.23
REF: 011605ge
STA: G.G.26
PTS:
7 ANS:
TOP:
8 ANS:
2
REF: 011606ge
4
PTS: 2
Angle Side Relationship
3
STA: G.G.16
REF: 011607ge
TOP: Volume and Surface Area
STA: G.G.34
2
2
Locus
3
REF: 011608ge
PTS: 2
STA: G.G.40
REF: 011609ge
TOP: Trapezoids
STA: G.G.22
REF: 011610ge
STA: G.G.62
TOP: Parallel and Perpendicular Lines
PTS:
9 ANS:
TOP:
10 ANS:
PTS: 2
11 ANS: 1
Geometry Regents Exam 0116
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PTS:
12 ANS:
TOP:
13 ANS:
TOP:
14 ANS:
TOP:
15 ANS:
2
REF: 011611ge
3
PTS: 2
Parallel Lines and Transversals
4
PTS: 2
Parallel and Perpendicular Lines
1
PTS: 2
Graphing Circles
3
STA: G.G.42
REF: 011612ge
TOP: Midsegments
STA: G.G.35
REF: 011613ge
STA: G.G.63
REF: 011614ge
STA: G.G.74
PTS:
16 ANS:
TOP:
17 ANS:
TOP:
18 ANS:
2
REF: 011615ge
2
PTS: 2
Chords and Secants
2
PTS: 2
Translations
2
STA: G.G.32
REF: 011616ge
TOP: Exterior Angle Theorem
STA: G.G.52
REF: 011617ge
STA: G.G.54
PTS: 2
Polygons
19 ANS: 1
REF: 011618ge
STA: G.G.36
TOP: Interior and Exterior Angles of
PTS: 2
20 ANS: 3
REF: 011619ge
STA: G.G.43
TOP: Centroid
Geometry Regents Exam 0116
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PTS:
21 ANS:
TOP:
22 ANS:
2
REF: 011620ge
STA: G.G.65
4
PTS: 2
REF: 011621ge
Solids
1
remains fixed after the reflection.
PTS: 2
23 ANS: 1
PTS:
24 ANS:
TOP:
25 ANS:
2
REF: 011623ge
2
PTS: 2
Triangle Congruency
4
PTS: 2
26 ANS: 4
PTS:
27 ANS:
TOP:
28 ANS:
TOP:
29 ANS:
REF: 011622ge
REF: 011625ge
2
REF: 011626ge
3
PTS: 2
Triangle Congruency
2
PTS: 2
Constructions
TOP: Parallel and Perpendicular Lines
STA: G.G.10
STA: G.G.55
TOP: Properties of Transformations
STA: G.G.15
REF: 011624ge
TOP: Volume and Lateral Area
STA: G.G.29
STA: G.G.33
TOP: Triangle Inequality Theorem
STA: G.G.46
REF: 011627ge
TOP: Side Splitter Theorem
STA: G.G.28
REF: 011628ge
STA: G.G.18
Geometry Regents Exam 0116
www.jmap.org
PTS: 2
KEY: basic
30 ANS:
REF: 011629ge
STA: G.G.45
TOP: Similarity
PTS: 2
31 ANS:
REF: 011630ge
STA: G.G.58
TOP: Dilations
PTS: 4
32 ANS:
REF: 011631ge
STA: G.G.38
TOP: Parallelograms
PTS: 2
33 ANS:
REF: 011632ge
STA: G.G.67
TOP: Distance
PTS: 2
34 ANS:
REF: 011633ge
STA: G.G.12
TOP: Volume
PTS: 2
35 ANS:
REF: 011634ge
STA: G.G.17
TOP: Constructions
Geometry Regents Exam 0116
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PTS: 4
KEY: grids
36 ANS:
REF: 011635ge
STA: G.G.58
TOP: Compositions of Transformations
PTS: 4
37 ANS:
REF: 011636ge
STA: G.G.70
TOP: Quadratic-Linear Systems
PTS: 4
38 ANS:
REF: 011638ge
STA: G.G.69
TOP: Triangles in the Coordinate Plane
REF: 011638ge
STA: G.G.47
TOP: Similarity
PTS: 6
KEY: leg