Answers to Homework 8) (4,0) (-4,0) (0,4) 10) (-2,-1) (2,1) (1,-2) 12) (0,0) (0,0) (0,0) 14) BCDEHIKOX.

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Presentation transcript:

Answers to Homework 8) (4,0) (-4,0) (0,4) 10) (-2,-1) (2,1) (1,-2) 12) (0,0) (0,0) (0,0) 14) BCDEHIKOX

14-3 Translations and Glide Reflections

Translation Glides all points the same distance in the same direction Preserves size, shape, and orientation

Example Original (1,-2) Glide 2 units to the right and 1 unit down. Image (3,-3) Mapping T(x,y)→(x+2,y-1)

Example 2 Given P(-1,2) and P’(2,5), what translation did the preimage undergo? (-1+ 3,2+ 3) = (2,5) T(x,y)→(x+3,y+3)

TOO: Hint (Always write out the mapping) 1) Given S(-1,3) and S’(1,5) a) Write out the mapping for this translation b) T(2,-3)→ c) Find the preimage of (0,-2) 2) T(2,2)→(-2,-2) then T(4,4)→ 3) The image of R(4,-3) under a translation is R’(0,-1). What is the preimage of Q’(2,-2)?

Answers TOO 1) Given S(-1,3) and S’(1,5) a) T(x,y)→(x+2,y+2) b) T(2,-3)→(4,-1) c) Find the preimage of (0,-2) (-2,-4) 2) T(2,2)→(-2,-2) then T(4,4)→(0,0) 3) The image of R(4,-3) under a translation is R’(0,-1). What is the preimage of Q’(2,-2)? (6,-4)

Glide Reflection A translation followed by a reflection. TOO: A glide reflection moves all points down 3 units and reflects all points over the x-axis. Find the image of A(2,-1) B(1,1) C(3,3). Answers: – After translation: A’(2,-4) B’(1,-2) C’(3,0) – Final Answer: A’’(2,4) B’’(1,2) C’’(3,0)

Homework Page 586 #1-8