Name: ____________________________________
Teacher: Mr. Villegas
1. Which diagram shows a dotted line that is not a line
of symmetry?
1. 3. 3. The image of the origin under a certain translation is
the point (2,-6). The image of point (-3,-2) under the
same translation is the point
1. (-6,12)
2. (-5,4)
3. 4. (-1,-8)
2. 4. 2. If x = -2 and y = -1, which point on the
accompanying set of axes represents the translation (x, y)
→ (x + 2, y - 3)?
4. Which transformation produces a figure similar but
not congruent to the original figure?
1. T1,3
2. D½
3. R 90°
4. ry = x
5. The endpoints of are A(3,2) and B(7,1). If is the result of the transformation of under D2 ◦ T4,3 what are the coordinates of A″ and B″?
1. 2. 3. 4. 1. Q 3. S
2. R 4. T
A″ (–2, 10) and B″ (6, 8)
A″ (–1, 5) and B″ (3, 4)
A″ (2, 7) and B″ (10, 5)
A″ (14, –2) and B″ (22, – 4)
6. Triangle DEG has the coordinates D(1,1), E(5,1), and G(5,4). Triangle DEG is rotated 90° about the origin to
form ΔD′E′G′. Which of the following correctly represents the graph of ΔD′E′G′?
1. 3. 2. 4. 7. Triangle ABC has vertices A(1, 0), B(7, 4), and C(5, 7).
(a) The coordinates of ΔA'B'C', the image of ΔABC after a reflection in the origin, are A'(
), B'(
, ), and C' (
, , ).
(b) The coordinates of ΔA''B''C'', the image of ΔA'B'C' under the translation (x, y) → (x + 1, y + 5), are A''(
, ), B''(
, ), and C''(
, ).
8. Which letter has both line and point symmetry?
1. A
2. S
3. Z
4. H
9. A translation moves A(-3, 2) to A'(0, 0). Find B', the image of B(5, 4) under the same translation.
1. B' (0, 0)
2. B' (2, 6)
3. B' (-5, 4)
4. B' (8, 2)
10. What are the coordinates of A', the image of A(2, 3) after a reflection in the x-axis?
1. A'(2, -3)
2. A'(-2, -3)
3. A'(-2, 3)
4. A'(3, 2)
11. If the coordinates of P are (-2, 7), what are the coordinates of (D2 ° ry=x )(P)?
1. (4, -14) 3. (-4, 14)
2. (-14, 4) 4. (14, -4)
12. Find the coordinates of the image of (−3, 4) under the transformation T −2, 3.
1. (1, −1) 3. (5, −7)
2. (−1, 1) 4. (−5, 7)
13. In the accompanying diagram, ΔABC is similar to but not congruent to ΔA'B'C'.
Which transformation is represented by ΔA'B'C'?
1. rotation 3. reflection
2. translation 4. dilation
14. Which transformation is a direct isometry?
1. D 2
2. D -2
3. r y-axis
4. T 2, 5
15. Based on the set of axes below, state the coordinates of the reflection of ABCD in the y-axis.
A'(
, )
B'(
, )
C'(
, )
D'(
, )