If the angle between l and m is 45°, what is the angle of rotation about O? 5. If the angle ... Consider the translation that is defined by the coord...
Chapter 7 Review Handout #1 Name the transformation that maps the lighter checkered flag onto the darker checkered flag. And label which one is the preimage and the image. 1. 2. 3.
Lines l and m intersect at point O. Consider a reflection of XYZ in l , followed by a reflection in line m . 4. If the angle between l and m is 45 , what is the angle of rotation about O?
5. If the angle of rotation about O is 100 , what is the acute angle between l and m ?
Describe the translation using the coordinate notation. 6. 7.
Consider the translation that is defined by the coordinate notation x, y x 12, y 5 8. What is the image of 5,10 ?
9. What is the preimage of 8, 2 ?
10. What is the image of 14,11 ?
11. What is the preimage of 0, 5 ?
12. What is the preimage of 4, 0 ?
13. What is the image of 7, 16 ?
State the segment or triangle that represents the image. 14. 1800 clockwise rotation of AB about P 15. 900 counterclockwise rotation of DE about P 16. 2700 counterclockwise rotation of GH about P 17. 1800 counterclockwise rotation of EF about P 18. 2700 clockwise rotation of DPE about P 19. 450 clockwise rotation of HPA about P 20. Reflection of point A over the x-axis 21. Reflection of point H over the line y = x 22. Reflection of point F over the y-axis
Determine the number of lines of symmetry below. 23. 24.
25.
26.
Determine whether the figure has rotational symmetry. If so, describe the angle of rotations that map the figure onto itself. 23. 24. 25. 26.
27. Plot the preimage 5, 7 , then write the new coordinates of the point 5, 7 after it is: a) Reflected over the x-axis: ___________ b) Reflected over the y-axis: ___________ c) Rotated though 1800 about the origin: ____________ d) Reflected over the line y = x. _____________ e) Reflected over the line y = - x. ____________ f)
Rotated though 900 clockwise about the origin: ____________
g) Rotated though 900 counterclockwise about the origin: ____________ 27. P’Q’ is the reflection of PQ in the line k and P”Q” is the reflection of P’Q’ in line m. a) As you reflected PQ twice over line k and m, what is a single transformation that would maps PQ onto P”Q”? b) If the distance from k to m is d, what is the distance from PQ to P”Q”? c) If the distance from k to m is 10in, what is the distance from to P”Q”? d) If the distance from PQ to P”Q” is 28ft, what is the distance between line k and m? Sketch the image of triangle PQR after a composition using the given transformations in the order they appear. 28. 29.
