1.Triangle ABC is translated 2 units up and 4 units to the right and is then rotated 180° to produce the image triangle A′B′C′. What are the coordinates of B′ in the resulting figure?
A. (−5,−10)
B. (−6,1)
C. (−1,−6)
D. (−8,0)
2. When applied to triangle ABC, what series of transformations will produce a triangle with vertex coordinates A′(8,1), B′(4,−3), and C′(−2,4)?
A. a reflection about the y-axis followed by a rotation of 180°
B. a reflection about the x-axis followed by a rotation of 180°
C. a rotation of 90° followed by a reflection about the x-axis
D. a rotation of 90° followed by a reflection about the y-axis
3. Quadrilateral ABCD is reflected about the y-axis and then is translated 4 units down and 5 units to the right to produce the image quadrilateral A′B′C′D′. What are the coordinates of C′ in the resulting figure?
A. (9,2)
B. (2,3)
C. (1,−9)
D. (10,−8)
4. Quadrilateral ABCD is translated up 1 unit, reflected about the x-axis, and then translated 2 units to the left to produce the image quadrilateral A′B′C′D′. What are the coordinates of D′ in the resulting figure?
A. (1,−8)
B. (−6,−7)
C. (2,4)
D. (−7,3)
5. When applied to quadrilateral ABCD, which series of transformations will produce a quadrilateral with coordinates A′(4,5), B′(−6,4), C′(−7,−3), and D′(5,−4)?
A. a rotation of 90° followed by a reflection about the x-axis
B. a reflection about the y-axis followed by a rotation of 180°
C. a rotation of °90° followed by a reflection about the y-axis
D. a reflection about the x-axis followed by a rotation of 180°
1. B (-6,1)
2. D (a rotation of 90° followed by a reflection about the y-axis)
3. A (9,2)
4. B (-6,-7)
5. D (a reflection about the x-axis followed by a rotation of 180°)