Practice Semester Exam: 2014-2015
Unit 3 Questions
3.1-1) Look at the figure below.
Look at these three figures.
II
I
III
Which figures are congruent to the first figure?
(A)
I only
(B)
II only
(C)
I and II only
(D)
I, II, and III
For questions 2-4, evaluate whether the image of a figure under the described transformation is
congruent to the figure.
3.2-2) A transformation T follows the rule  x, y    x  3, y  . The image of a figure under T is congruent to
the figure.
(A)
True
(B)
False
3.2-3) A transformation T follows the rule  x, y     y,  x  . The image of a figure under T is congruent to
the figure.
(A)
True
(B)
False
3.2-4) A transformation T follows the rule  x, y    x, 2 y  . The image of a figure under T is congruent to the
figure.
(A)
True
(B)
False
3.2-5) The diagram shows regular hexagon ABCDEF with center O.
A
F
B
O
E
C
D
For each part, fill in the blank.
(a) _____ is the image of A under a 60° rotation about O.
(b) The figure is reflected across AD . The pre-image of E is _____.
(c) F is the image of D when the figure is rotated _____° about O.
(d) B is first reflected across FC . That image maps to F when reflected across _____.
3.3-6) On the coordinate plane, draw triangles ABC and ABC such that:
(1) A = A
(2) ABC has been rotated 90°.
For questions 7-9, consider a triangle ABC that has been transformed through rigid motions and its image
compared to XYZ . Determine if the given information is sufficient to draw the provided conclusion.
3.4-7)
Given
Conclusion
A  X
B  Y
ABC  XYZ
C  Z
(A)
(B)
True
False
Given
3.4-8)
Conclusion
A  X
B  Y
ABC  XYZ
BC  YZ
(A)
(B)
True
False
Given
3.4-9)
Conclusion
A   X
AB  XY
BC  YZ
(A)
(B)
True
False
ABC  XYZ
3.4-10) In the diagram, m is the perpendicular bisector of AB at C, and rm  D   E .
m
E
D
C
A
B
Prove ADC  BEC .
3.4-11) In the diagram, DC is the perpendicular bisector of AB .
D
A
C
B
Prove DAB  DBA .
3.4-12) Use the diagram.
B
E
F
A
C
D
Given:
Prove:
BD  AC
AE  BC
AEC BDC
3.5-13) Use the diagram.
s
r
m
3 4
1 2
n
6 5
8 7
Which statement would be used to prove lines r and s are parallel?
1 and 3 are congruent
(A)
2 and 7 are complementary
(B)
(C)
4 and 1 are congruent
8 and 6 are supplementary
(D)
3.5-14) In the diagram, m n and p q .
p
q
m
88°
n
x°
What is the value of x?
(A)
44
(B)
88
(C)
92
(D)
176
For questions 15-18, use the diagram where B is the reflection of A across PQ .
P
A
3.6-15) PA = PB
(A)
True
(B)
False
3.6-16) PQ  AB
(A)
True
(B)
False
3.6-17) AQ = QB
(A)
True
(B)
False
Q
B
3.6-18) PQ 
(A)
(B)
1
AB
2
True
False