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Test #4, Form A
Geometry
1. What is the midpoint of the line
segment connecting (3, 5) and (7, 3)?
A. (2, 1)
B. (2, -1)
C. (4, -2)
D. (5, 4)
E. none of the above
2. What is the slope of the line segment
connecting (3, 5) and (7, 3)?
A.
-1
2
1
B. 2
C. -2
D. 2
E. none of the above
3. By definition, the distance between two
circles is
A. the distance between the centers
B. the sum of the radii
C. the length of the shortest line
segment connecting the circles
D. the difference of the radii
E. none of the above


 1
4. If OP  QR , and the slope of OP is 3,

then the slope of QR is
1
A. 3
-1
B. 3
C.
D.
E.
-3
3
none of the above
Name:
Date:

Use the following proof (that if one diagonal MO
of quadrilateral LMNO is a perpendicular bisector

of the other diagonal quadrilateral LN, then the
quadrilateral has a pair of congruent angles) to
answer questions 5-8.


1. MO  bis LN
1. Given


2. LM  MN
2.


3. LO  NO
3.
4. MLN  MNL
4.
5. OLN  ONL
5.
6. MLO  MNO
6.
5. The reason for statements #2 and #3 is
A. definition of midpoint
B. definition of bisection
C. if “angles,” then “sides”
D. points on a perpendicular bisector are
equidistant from the endpoints of the
bisected segment
E. none of the above
6. The reason for statement #4 is
A. definition of angle bisector
B. if “sides,” then “angles”
C. if “angles,” then “sides”
D. CPCTC
E. none of the above
7. The reason for statement #5 is
A. definition of angle bisector
B. if “sides,” then “angles”
C. if “angles,” then “sides”
D. CPCTC
E. none of the above
8. The reason for statement #6 is
A. addition property
B. ASA
C. SAS
D. CPCTC
E. none of the above


 1
9. If OP  QR , and the slope of OP is 3,

then the slope of QR is
10. Which of the following will not
establish that A  B?
A. A and B are right angles
1
B. A  C and B  C
-1
C. A and B are vertical
angles
A. 3
B. 3
C.
D.
E.
D. A and B are alternate
interior angles
E. none of the above
-3
3
none of the above
Transformations of a Triangle
11. A rigid transformation is one in which the resulting figure is congruent to the original
figure. There are three types of rigid transformations: translations, reflections, and rotations.
a. Draw coordinate axes. Draw ABC, with vertices at A(3, 1); B(0, 4); and C(1, 5).
b. On a separate set of coordinate axes, draw the image of ABC after a reflection across the
y-axis. Label all points by name (A’, B’, C’) and coordinates.
c. On a separate set of coordinate axes, draw the image of ABC after a rotation of ninety
degrees clockwise around the origin. Label all points by name (A’, B’, C’) and coordinates.
d. On a separate set of coordinate axes, draw the image of ABC after a translation of six
units left and two units up. Label all points by name (A’, B’, C’) and coordinates.
A Chord-ial Relationship
12. A chord is a line segment connecting two points on a circle. A diameter is a chord that
passes through the center of the circle.
a. Draw a diagram showing a chord that is not a diameter of its circle, with a midpoint of the
chord labeled. Identify all statements that would be considered “given.”
b. Write a two-column proof showing the line segment connecting the center of the circle
and the midpoint of the chord must be perpendicular to the chord.
11
..
1
2
3
4
A 
B 
C 
D 
E

A 
B 
C 
D 
E

A 
B 
C 
D 
E

A 
B 
C 
D 
E

GEOMETRY, TEST 4
5
A 
B 
C 
D 
E
6
A 
B 
C 
D 
E
7
A 
B 
C 
D 
E
8
9
10
A 
B 
C 
D 
E

A 
B 
C 
D 
E

A 
B 
C 
D 
E

GEOMETRY, TEST 4
12
..
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