G.CO.6 ASSESSMENT – PATTERSON
1
MULTIPLE CHOICE
1. Which is a rigid motion?
A) Translate
B) Dilation
C) Shear
D) Stretch
2. A rigid motion is the same as:
A) A mapping
B) A transformation
C) An Isometric transformation
D) A proportional expansion
3. Which word is NOT synonymous with rigid?
A) Similar
B) Identical
C) Congruent
D) Isometric
4. Congruence can be found through isometric transformations because they preserve key characteristics of
the shape. Which of the following is NOT one of the characteristics that an isometry preserves?
A) Angle size
B) Location on the plane
C) Distance between points
D) Collinearity of points
5. If Quadrilateral GRTH is congruent to Quadrilateral JKOP, then which of the following is true?
A) THG  JPO
B) T  P
C) TR  KJ
D) PH  OT
6. CPCFC stands for:
A) Congruent Parts of Congruent Figures are Congruent
B) Corresponding Parts of Congruent Figures are Congruent
C) Corresponding Parts of Corresponding Figures are Congruent
D) None of these
7. Quadrilateral BAFG Quadrilateral MHNU. What would be another correct congruence statement for
these two quadrilaterals?
A) Quad. FBGA  Quad. NMUH
B) Quad. NUMH  Quad. FABG
C) Quad. HMUN  Quad. ABGF
D) Quad. AGFB  Quad. HUMN
8. Without changing the size of ABC it was mapped exactly onto FGT by a single transformation. Which of
the following transformation could not have done this?
A) Translation
B) Rotation
C) Reflection
D) Dilation
G.CO.6 ASSESSMENT – PATTERSON
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9. Which of the following rules could represent a transformation that mapped one shape onto to another to
establish their congruence?
A) K ( x, y)      ( x  3,3 y)
B) K ( x, y)      (2 x, y)
C) K ( x, y)      ( y, x  2)
D) K ( x, y)      (5x,5 y)
Answers:
1. A
2. C
3. A
4. B
5. A
6. B
7. C
8. D
9. C
TRUE/FALSE
1. An isometric transformation is the same as a rigid motion.
T or F
2. K ( x, y)      ( x  2, y  7) could represent a transformation that could establish congruence. T or
F
3. R( x, y)      (2 x, 2 y) could represent a transformation that could establish congruence.
T or
F
4. T ( x, y)      ( y, x) could represent a transformation that could establish congruence.
T or
F
Answers:
1. T
2. T
3. F
4. T
G.CO.6 ASSESSMENT – PATTERSON
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SHORT ANSWER
1. A student finds two triangles on two different pieces of patty paper. He places them on the desk to
compare them. He slides and then turns the paper so that the two triangles on are on top of each other and
then he notices that he needs to flip one of the papers so that they will land exactly on top of each other. The
student concludes that they are copies of each other. Mathematically, what did this procedure prove about
the triangles?
Answer: If you can map one shape onto another using isometric transformations if proves that the two shapes
are congruent. The student slid, turned and flipped the shape until the two matched each other identically.
The slide (translation), the turn (rotation), and the flip (reflection) are all rigid motions (isometric
transformations).
2. Pentagon AGHYT  Pentagon BFRSK. Name the corresponding congruent sides and the corresponding
congruent angles of these two pentagons.
Answer:
A  B, G  F, H  R, Y  S, T  K
AG  BF , GH  FR , HY  RS , YT  SK , TA  KB
3. Two quadrilaterals are congruent. The following information is known about the two quadrilaterals;
TG  RM D  F, DA  FC , and GAD MCF. Fill in the missing points in their corresponding places.
Quadrilateral ____ D ____ ____  Quadrilateral ____ F ____ ____
Answer: Quadrilateral ADTG  Quadrilateral CFRM or Quadrilateral TDAG  Quadrilateral RFCM
4. What rule would establish that these two polygons are congruent to each other?
a) T (CDE)    (______, _____)
b) P(CDE)    (_____, _____)
C
D
C
H
H
c) W (CDGH )    (_____, _____)
D
G
J
F
E
Y
C
E
K
D
T
J
R
Answers: a) T (CDE)    ( x  8, y  2)
b) P(CDE)    ( y, x)
H
G
c) W (CDGH )    ( x, y)
G.CO.6 ASSESSMENT – PATTERSON
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5. What rule would establish that these two polygons are congruent to each other?
a) Beginning with Quad CDGH
W ( x, y)    (_____, ____)
b) Beginning with Quad CDGH
G( x, y)    (_____, ____)
R
T
Y
Q
L
S
K
R
G
V
R
C
D
C
T
T
D
C
c) Beginning with Quad CDGH
A translation
P( x, y)      (______, ______)
followed by a reflection
Z ( x, y)      (______, ______)
H
D
H
Answers:
G
G
H
a) W (CDGH )    ( x,  y) b) P(CDGH )    ( y, x)
c) W ( x, y)      ( x  10, y  5)
followed by Z ( x, y)      ( x,  y)
6. Quadrilateral FHJK is congruent Quadrilateral MNPO. Complete the following congruent statements.
a) J   ______
b) NP  ______
Answers: a) P
c) M   ______
c) F
b) HJ
d) KF  ______
d) OM
7. Quadrilateral ABCD is congruent to Quadrilateral HJLP. Complete the following congruent statements.
a) B   ____
b) LP  ____ c) P   ____
A
d) DA  ____
P
B
L
D
C
Answers: a) J
b) CD
c) D
J
H
d) PH
8. ABC is congruent to another triangle. Provided is some information about the two triangles, AB  AG
and C  R . From this information determine the triangle congruence statement.
ABC  _________
Answer: AGR
G.CO.6 ASSESSMENT – PATTERSON
LONG ANSWER
1.
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