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Unit 2 Translate Figures and Use Vectors

Unit 2 Translate Figures and Use Vectors. Moves or changes a figure. Transformation:. Original figure. Preimage:. Image:. Transformed figure. “P prime”. A congruent transformation. Isometry:. Translation:. An isometry that moves every point a certain distance in a certain direction. P.

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Unit 2 Translate Figures and Use Vectors

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  1. Unit 2 Translate Figures and Use Vectors

  2. Moves or changes a figure Transformation: Original figure Preimage: Image: Transformed figure “P prime” A congruent transformation Isometry:

  3. Translation: An isometry that moves every point a certain distance in a certain direction P Q

  4. Translation: Note: and

  5. Motion Rule: Moves each point left, right, down, or up Down or Up Left or Right

  6. Use the translation What is the image of D(4, 7)? (4 + 2, 7 – 5) D +2 (6, 2) –5

  7. Use the translation What is the image of R(2, –4)? (2 – 7, –4 + 4) (–5, 0) +4 –7 R

  8. Use the translation What is the preimage of (–5, 3)? M (–5 – 4, 3 + 6) (–9, 9) +6 –4

  9. Use the translation What is the preimage of (4, –1)? (4 + 5, –1) (9, –1) +5 A

  10. The vertices of ABC are A(–1, 1), B(4, –1), and C(2, 4). Graph the image of the triangle using prime notation. (–1 – 3, 1 + 5) (–4, 6) C (4 – 3, –1 + 5) A (1, 4) B (2 – 3, 4 + 5) (–1, 9)

  11. The vertices of ABC are A(–1, 1), B(4, –1), and C(2, 4). Graph the image of the triangle using prime notation. (–1 , 1 – 3) (–1, –2) C (4, –1 – 3) A (4, –4) B (2, 4 – 3) (2, 1)

  12.  is the image of ABC after a translation. Write a rule for the translation. +3 –5

  13.  is the image of ABC after a translation. Write a rule for the translation. +2 –5

  14. Find the value of each variable in the translation. a = 80° 2b = 8 b = 4 c = 13 5d = 100 d = 20°

  15. Find the value of each variable in the translation. b – 5 = 12 b = 17 3c + 2 = 20 3c = 18 c = 6 a = 180 – 90 – 31 a = 59°

  16. HW Problems

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