Honors Geometry Topic 3 Review PDF

Honors Geometry Name:_______________________ Topic 3 Review Date:______ Period:___ 1. What is a rigid motion? What transformations result in rigid motions? 2. Graph each of the rotations, and w...

Honors Geometry Name:_______________________ Topic 3 Review Date:______ Period:___ 1. What is a rigid motion? What transformations result in rigid motions? 2. Graph each of the rotations, and write the coordinates of the image underneath the graph. a. 𝑅(180°,𝑂) (∆𝐴𝐵𝐶) b. 𝑅(180°,𝐵) (∆𝐴𝐵𝐶) c. 𝑅(−90°,𝑂) (∆𝐴𝐵𝐶) d. 𝑅(90°,𝐵) (∆𝐴𝐵𝐶) 3. Shown below is the graph of the image of 𝑇〈2,3〉. What is the coordinates of the preimage 𝐴𝐵? Honors Geometry Name:_______________________ Topic 3 Review Date:______ Period:___ 4. Graph each of the reflections, and write the coordinates of the image underneath the graph. a. 𝑟𝑥−𝑎𝑥𝑖𝑠 (∆𝐴𝐵𝐶) b. 𝑟𝑥=1 (∆𝐴𝐵𝐶) c. 𝑟𝑦=−𝑥 (∆𝐴𝐵𝐶) d. 𝑟𝑦=𝑥−3 (∆𝐴𝐵𝐶) 5. Name the vector and write what it equals is component form. a. b. 6. Write the equation of the line of reflection given 𝐴(−6,2) and 𝐴′(174, −118) in point-slope form. Honors Geometry Name:_______________________ Topic 3 Review Date:______ Period:___ 7. Graph each of the compositions, and write the coordinates of each of the images underneath the graph. Label your points. a. (𝑇〈4,6〉 ∘ 𝑟𝑥−𝑎𝑥𝑖𝑠 )(∆𝐴𝐵𝐶) b. 𝑅(90°,𝐴′ ) (𝑇〈8,−4〉 (∆𝐴𝐵𝐶)) c. 𝑟𝑦=−𝑥 (𝑅(180°,𝑂) (∆𝐴𝐵𝐶)) d. 𝑟𝑥=−4 (𝑟𝑥=−1 (∆𝐴𝐵𝐶)) 8. 7d can also be written as a single translation. Write the translation in function notation that is the same as 7d. 9. Write in function notation a composition of two reflections that would be equivalent to 𝑇〈0,−60〉 (𝑞𝑢𝑎𝑑 𝐴𝐵𝐶𝐷). Honors Geometry Name:_______________________ Topic 3 Review Date:______ Period:___ 10. Sketch the line(s) of symmetry on each figure. If there are no lines of symmetry, state “no lines of symmetry”. a. b. c. d. 11. Which of the figures above have rotational symmetry, and by how many degrees? If they have rotational symmetry, just list the smallest rotation that maps it to itself. 12. The shapes shown below are symmetrical across the shown line. Sketch the other half. a. b. 13. Sketch all lines of symmetry, if any, and determine if the figure has any rotational symmetry. If it does, state the number of degrees. a) b)