1.Fill in the blanks with always, sometimes, or never. a)A rotation is _____ an isometry. b)An isometry is _____ a reflection. c)An isometry is _____ a dilation.

2.Fill in the blanks with always, sometimes, or never. a)A triangle _____ has 120 o rotational symmetry. b)A regular octagon _____ has 45 o rotational symmetry. c)A figure that has 60 o rotational symmetry _____ has 120 o rotational symmetry. d)A figure that has 90 o rotational symmetry _____ has 45 o rotational symmetry.

3.Fill in the blanks with always, sometimes, or never. a)A rectangle _____ has 4 lines of reflectional symmetry. b)A scalene triangle _____ has 1 line of reflectional symmetry. c)An isosceles triangle _____ has 1 line of reflectional symmetry.

6. ΔABC has coordinates A(-1, 3), B(4, 3), and C(0, 0). What are the coordinates after a reflection in the line y = x?

7. ΔABC has coordinates A(-1, 3), B(4, 3), and C(0, 0). What are the coordinates after a 90 o counterclockwise rotation about A?

8. ΔABC has coordinates A(-1, 3), B(4, 3), and C(0, 0). What are the coordinates after a 180 o rotation about B?

9. ΔABC has coordinates A(-1, 3), B(4, 3), and C(0, 0). What are the coordinates after a reflection in the line y = 2 followed by a reflection in the line x = -1?

10. A(2, 2) is reflected and maps onto A’(-2, -2). What is the line of reflection?

11.A(3, 1) is and maps onto A’(-1, 1). a)Describe this transformation as a reflection. b)Describe this transformation as a translation. Use vector notation.

12. True or false? a)A translation of followed by a translation of maps a figure onto itself. b)A translation of followed by a reflection in the x-axis is a glide reflection. c)A rotation of 720 o maps a figure onto itself. d)A translation of followed by a translation of yields the same result as a translation of.

Solutions 1.a) always b) sometimes c) never 2.a) sometimes b) always c) always d) sometimes 3.a) sometimes b) never c) always 4.(x, y)  (x - 5, y - 3) 5.m = 1, 14, k = -2 6.A’(3, -1), B’(3, 4), C’(0, 0) 7.A’(-1, 3), B’(-1, 8), C’(2, 4) 8.A’(9, 3), B’(4, 3), C’(8, 6) 9.A”(-1, 1), B”(-6, 1), C”(-2, 4) 10.y = -x 11.a) reflection in x = 1 b) translation 12.a) true b) false c) true d) false