Which geometric figures have symmetry with respect Which geometric figures have symmetry with respect

31. A regular hexagon is rotated about a centrally located

point as shown. How many rotations are needed to repeat the given hexagon vertex for vertex if the angle of rotation is a 30°? b 60°? c 90°? d 240°?

32. A regular octagon is rotated about a centrally located

point as shown. How many rotations are needed to repeat the given octagon vertex for vertex if the angle of rotation is a 10°? b 45°? c 90°? d 120°?

33. is the image of

following the reflection of across line 艎 . If and , find x.

34. is the image of

following a 100° counterclockwise rotation of about point Y. If and , find x . m ∠X¿YZ¿ = 130° m ∠XYZ = 5x 6 ∠XYZ ∠XYZ ∠X¿YZ¿ m ∠ABC = x 2 + 5 m ∠A ¿ B ¿ C ¿ = x 5 + 20 ∠ABC ∠ABC ∠A¿B¿C¿

27. Describe the types of symmetry displayed by each of

these automobile logos. a Toyota b Mercury c Volkswagen

28. Describe the types of symmetry displayed by each of

these department store logos. a Kmart b Target c Bergner’s

29. Given a figure, which of the following pairs of

transformations leads to an image that repeats the original figure? a Figure slides 10 cm to the right twice. b Figure is reflected about a vertical line twice. c Figure is rotated clockwise about a point 180° twice. d Figure is rotated clockwise about a point 90° twice.

30. Given a figure, which of the following pairs of

transformations leads to an image that repeats the original figure? a Figure slides 10 cm to the right, followed by slide of 10 cm to the left. b Figure is reflected about the same horizontal line twice. c Figure is rotated clockwise about a point 120° twice. d Figure is rotated clockwise about a point 360° twice. The Toyota brand and logos as well as Toyota model names are trademarks of Toyota Motor The Kmart logo is a registered trademarks of Sears Brands, LLC. Target and the Bullseye Design are registered trademarks of Target Brands, Inc. All rights reserved. Bergners Courtesy of Ford Motor Company Used with permission of Volkswagen Group of America, Inc.