North Carolina Testing Program
1. Given points P
( ) ( )
R
( ) and S
( ) is true?
A
B
C
D
HJG HJG
PQ is parallel to RS .
HJG HJG
PQ is perpendicular to RS .
HJG HJG
PR is perpendicular to QS .
HJG HJG
PR is parallel to QS .
2. Which is an equation of a line parallel to
—
2
3 x
+ 1
5 y
=
4 ?
A
B
C
D
—
10 x
+
3 y
=
6
—
3 x
+
10 y
=
6
3 x
-
10 y
= —
6
10 x + 3 y = —
6
3.
EOC Geometry Sample Items Goal 3
What is the slope of the line that is perpendicular to the line whose equation is 3 x
−
2 y
=
−
8?
A
B
C
3
2
2
3
— 2
3
D
— 3
2
4. ABCD is a rhombus. The slope of segment AB is . What is the slope
8 of segment DC ?
A
8
3
B
C
D
3
8
−
3
8
−
8
3
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educational purposes only; not for personal or financial gain.

North Carolina Testing Program
5. Which of the following is an equation of the line perpendicular to 3 x
+
6 y
=
12 at (4,0)?
A y
=
—
1
2 x
2
B
C
D y
= 1
2 x
2 y
= — 2 x
+
8 y
=
2 x
−
8
6. Isosceles triangle ABC has vertices
A
( ) ( )
C
( ) is the equation of the perpendicular bisector of AC ?
A
=
2
B
=
3
C
+
5 y
=
10
D x
−
4 y
= —
2
7.
EOC Geometry Sample Items Goal 3 k P .
y
P x k
Which is an equation of the line that
A y =
—
1
3 x
B y
= 1
3 x
+
2
C y
= —
3 x
-
8
D 3 x
+
10
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Published October 2003. May reproduce for instructional and
educational purposes only; not for personal or financial gain.

North Carolina Testing Program
8.
EOC Geometry Sample Items Goal 3
If
∆
DEF is reflected across the line y
= x , what is the coordinate of D ¢ ?
y
+6
+5
+4
+3
+2
+1
E
—6 —5 —4 — 3 —2 —1
0
—1
—
2
—3
—4
—5
—6
D
+ 1 + 2 + 3 + 4 + 5 + 6
F x
A
B
C
D
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Published October 2003. May reproduce for instructional and
educational purposes only; not for personal or financial gain.

North Carolina Testing Program
9.
D
GHJ G H (3, 6),
J
1
3
.
What are the coordinates of the vertex of the image
D
G' H'J' that lies in the second quadrant?
A
B
C 1,
D
EOC Geometry Sample Items Goal 3
10. What is the rule for the composite transformation formed by a translation 2 units to the left and 3 units up, followed by a
90 counterclockwise rotation?
A
( ) →
(
— y x
)
B
C
D
( ) → ( x
−
2, y
+
3
)
( ) →
(
— y
−
3, x
−
2
)
( ) →
(
— y
+
2, x
+
3
)
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Published October 2003. May reproduce for instructional and
educational purposes only; not for personal or financial gain.

North Carolina Testing Program EOC Geometry Sample Items Goal 3
11. Which choice best describes the transformation shown in the drawing?
y
A
+6
+5
+4
+3
+2
+1
C
B x
—6 —5 —4 — 3 —2 —1
0
— 1
—
2
— 3
— 4
— 5
— 6
+ 1 + 2 + 3 + 4 + 5 + 6
A
′
B
′
C
′
A
B
C translation so
( ) maps to
( x
-
8, y
)
D translation so
( ) maps to
( x y
-
8
)
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Published October 2003. May reproduce for instructional and
educational purposes only; not for personal or financial gain.

1.
Objective 3.01
Use slopes to determine if two lines are parallel or perpendicular.
Thinking Skill: Applying Correct Answer: A
2.
Objective 3.01
Use slopes to determine if two lines are parallel or perpendicular.
Thinking Skill: Integrating Correct Answer: A
3.
Objective 3.01
Use slopes to determine if two lines are parallel or perpendicular.
Thinking Skill: Applying Correct Answer: C
4.
Objective 3.01
Use slopes to determine if two lines are parallel or perpendicular.
Thinking Skill: Applying Correct Answer: B
5.
Objective 3.02
Write the equation of a line parallel or perpendicular to a given line through a given point.
Thinking Skill: Integrating Correct Answer: D
6.
Objective 3.02
Write the equation of a line parallel or perpendicular to a given line through a given point.
Thinking Skill: Integrating Correct Answer: B
7.
Objective 3.02
Write the equation of a line parallel or perpendicular to a given line through a given point.
Thinking Skill: Applying Correct Answer: D
8.
Objective 3.03
Transform (translate, reflect, rotate, dilate) polygons in the coordinate plane; describe the transformation in simple algebraic terms.
Thinking Skill: Integrating Correct Answer: A
9.
Objective 3.03
Transform (translate, reflect, rotate, dilate) polygons in the coordinate plane; describe the transformation in simple algebraic terms.
Thinking Skill: Analyzing Correct Answer: B
10.
Objective 3.03
Transform (translate, reflect, rotate, dilate) polygons in the coordinate plane; describe the transformation in simple algebraic terms.
Thinking Skill: Generating Correct Answer: C
North Carolina Testing Program Published October 2003. May reproduce for instructional and educational purposes only; not for personal or financial gain.

11.
Objective 3.03
Transform (translate, reflect, rotate, dilate) polygons in the coordinate plane; describe the transformation in simple algebraic terms.
Thinking Skill: Analyzing Correct Answer: D
North Carolina Testing Program Published October 2003. May reproduce for instructional and educational purposes only; not for personal or financial gain.