Worksheet on Line Symmetry & Rotational Symmetry
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1 Gr. 9 Math Worksheet on Line Smmetr & Rotational Smmetr Multiple Choice Identif the choice that best completes the statement or answers the question.. Which shapes have at least lines of smmetr? P Q R S a. Shapes P, Q, S c. Shapes Q, R, S b. Shapes P, S d. Shapes P, Q, R, S. Which design has exactl one line of smmetr? P Q R S a. Design Q c. Design S b. Design R d. Design P. Identif the triangles that are related to the black triangle b a line of reflection. 7 P Q R S x a. Triangles P, Q, R, S c. Triangles R, S b. Triangles Q, R d. Triangles Q, R, S
2 . How man lines of smmetr does this tessellation have? a. b. c. d.. Which example shows a reflection of triangle in the dotted line? Example i Example ii Example iii Example iv a. Example iii b. Example i c. Example ii d. Example iv
3 . Draw the reflection image of triangle P using the dotted line as a line of smmetr. P x a. c. 8 7 P 8 7 P x x b. d. P x P x 7. What is the angle of rotation smmetr for a shape that has rotational smmetr of order? a. b. c. 7 d The angle of rotation smmetr for a shape is 0. What is the order of rotational smmetr? a. b. c. d. 8
4 9. What is the order of rotational smmetr and angle of rotation smmetr for this design? a. ; 90 b. ; 0 c. 8; 0 d. 8; 0. Which figure shows the rotation image of pentagon A after a clockwise rotation about its centre? P Q P Q P Pentagon A Q P Q P Q Figure i Figure ii Figure iii Figure iv a. Figure iii b. Figure i c. Figure iv d. Figure ii. Describe the rotational smmetr and line smmetr of this parallelogram. a. Rotational smmetr of order about the centre; no line smmetr b. Rotational smmetr of order about the centre; line of smmetr through the centre c. Rotational smmetr of order about the centre; line of smmetr through the centre d. No rotational smmetr; no line smmetr. Describe the rotational smmetr and line smmetr of this diagram. a. Rotational smmetr of order about the centre; lines of smmetr through the centre b. Rotational smmetr of order about the centre; lines of smmetr through the centre c. Rotational smmetr of order about the centre; lines of smmetr through the centre d. Rotational smmetr of order about the centre; lines of smmetr through the centre
5 . Which of squares P, Q, R, and S are related to the shaded square b line smmetr? P Q R 7 8 x S a. Squares P, R, and S c. Squares P and R b. Squares P, Q, R, and S d. Squares P, Q, and R. Determine whether the two parallelograms are related b line smmetr, b rotational smmetr about point P, b both tpes of smmetr, or b neither. P x a. Rotational smmetr c. Line smmetr b. Neither d. Rotational smmetr and line smmetr. If this hexagon is rotated 90 clockwise about point A, how man lines of smmetr will there be in the diagram formed b the hexagon and its image? A 7 8 x a. b. c. d. 0
6 Short Answer. State the number of lines of smmetr in each design. a) b) 7. This polgon is one-half of a shape. Use the dotted line as a line of smmetr to complete the shape b drawing its other half. 7 x 8. This polgon is one-half of a shape. Use the dotted line as a line of smmetr to complete the shape b drawing its other half. 7 x 9. This polgon is one-half of a shape. Use the dotted line as a line of smmetr to complete the shape b drawing its other half. x
7 0. This polgon is one-half of a shape. Use a vertical line through on the x-axis as a line of smmetr to complete the shape b drawing its other half. Write the coordinates of the larger shape formed b PQRS and its image. P S R Q x. What is the order of rotational smmetr and angle of rotation smmetr for this design? O O O O O O. What is the order of rotational smmetr and angle of rotation smmetr for this design?
8 . Which figure below shows two quadrilaterals related b both rotational smmetr and line smmetr? Figure i Figure ii Figure iii x. Determine whether polgon A and its image are related b line smmetr after each transformation: i) a translation R ii) a translation U iii) a reflection in a vertical line through in the x-axis iv) a reflection in a horizontal line through 7 in the -axis A 7 8 x. Marleesa sas these digits do not have line smmetr or rotational smmetr. Is she correct? If not, explain her mistake.
9 Problem. a) Reflect shape A in the oblique line through (0, 7) and (7, 0). Label the image shape B. b) Reflect shape B in the vertical line through on the x-axis. Label the image shape C. c) Reflect shape C in the oblique line through (, 0) and (, 7). Label the image shape D. 7 A x 7. a) On the grid below, plot the points A(, ), B(, ), C(, 8), D(, ), and E(, ). Join the points to form polgon ABCDE. b) Reflect polgon ABCDE in the oblique line through the points (0, 0) and (8, 8). Draw the reflection image. c) Write the coordinates of the larger shape formed b ABCDE and its image. d) Describe the larger shape and its smmetr x
10 8. This square is part of a larger shape that is to be completed b three rotations. a) Rotate this square: i) 90 clockwise about point A ii) 80 about point B iii) 80 about point A Draw each rotation image. b) Outline the shape formed b the square and all its images. What is the order of rotational smmetr and angle of rotation smmetr for the final shape? A B 9. This pentagon is part of a larger shape that is completed b rotating the pentagon 80 about the point (, ). a) Draw the rotation image. b) List the coordinates of the vertices of the larger shape. c) Describe the smmetr in the larger shape. B A C E D 7 7 x
11 0. The polgon below and its transformation image form a diagram. a) Find a transformation of the polgon that does not result in a diagram with line smmetr or rotational smmetr. Draw the image and list the coordinates of the vertices of the larger shape. How do ou know the diagram does not have smmetr? b) Find a transformation of the polgon that does result in at least one tpe of smmetr. Draw the image and list the coordinates of the vertices of the larger shape. How do ou know the diagram has smmetr? 0 9 B D 8 7 A C E G F x
12 Grade 9 Math Unit 8 Similarit & Transformations Worksheet Ke. C. D. D. Figure iii. B. i) No line of smmetr. D ii) Horizontal line through on -axis.. B iii) Vertical line through on x-axis. 7. C iv) Horizontal line through 7 on -axis. 8. A. She is not correct. Neither digit has line smmetr, 9. A but has rotational smmetr of order. 0. A.. A. D. D. C. A. a) b) c) E (,) A(,) B(,) C(,8) d) 7-sided polgon with a line of 8. Smmetr along DE. 8. b) rotational smmetr of order
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