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lesson 12 practice problems 1. match the directed line segment with the…

Question

lesson 12 practice problems

  1. match the directed line segment with the image of polygon p being transformed to

polygon q by translation by that directed line segment.
translation 1
transition 2
translation 3
transition 4

  1. translation 1
  2. translation 2
  3. translation 3
  4. translation 4

Explanation:

Step1: Analyze Translation 1

Translation 1 shows a horizontal - like movement. The directed line segment \(u\) (assuming it is a horizontal directed line segment) would match Translation 1 as the movement from \(P\) to \(Q\) in Translation 1 is a simple shift (likely horizontal).

Step2: Analyze Translation 2

Translation 2 has a movement in a certain non - horizontal, non - reverse direction. The directed line segment \(w\) (assuming its direction matches the movement from \(P\) to \(Q\) in Translation 2) would be the match.

Step3: Analyze Translation 3

Translation 3 has a reverse - like movement. The directed line segment \(a\) (assuming it is in the reverse direction of the positive \(x\) - axis or the main reference axis) would match as \(P\) is moved to \(Q\) in a reverse direction.

Step4: Analyze Translation 4

Translation 4 has a movement similar to a positive non - reverse, non - horizontal (but maybe a bit more spread out in a positive direction compared to \(w\)). The directed line segment \(v\) (assuming its length and direction match the movement from \(P\) to \(Q\) in Translation 4) would be the match.

Answer:

  1. Translation 1 — \(u\)
  2. Translation 2 — \(w\)
  3. Translation 3 — \(a\)
  4. Translation 4 — \(v\)