1. 9.1 – Translate Figures and Use Vectors

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

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 Left or Right Down or Up

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

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

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

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

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. A B C (–1 – 3, 1 + 5) (–4, 6) (4 – 3, –1 + 5) (1, 4) (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. A B C (–1, 1 – 3) (–1, –2) (4, –1 – 3) (4, –4) (2, 4 – 3) (2, 1)

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

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

14. Vector: Translates a shape in direction and magnitude, or size. FG Name: Where F is the initial point and G is the terminal point. Component form:

15. Name the vector and write its component form. +5 –1 JD Vector Name: _____________ Component Form: _________

16. Name the vector and write its component form. –7 –3 DR Vector Name: _____________ Component Form: _________

17. Name the vector and write its component form. –4 RS Vector Name: _____________ Component Form: _________

18. is the image of  ABC after a translation. Write a vector in component form for the translation. Component Form: _________ +2 –5

19. A B C is the image of  ABC after a translation. Write a vector in component form for the translation. Component Form: _________ –4 +2

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

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

23. 9.1576-5773-11 odd, 15-21 odd, 25-29odd HW Problems #19 P –1 +2