Question

1. match each directed line segment with the translation from polygon p to polygon q by that directed line segment. translation 1 translation 2 translation 3 translation 4 1. translation 1 2. translation 2 3. translation 3 4. translation 4 (from unit 1, lesson 12.)

Explanation:

Step1: Analyze Translation 1

Translation 1: Polygon \(P\) is translated to \(Q\). The direction from \(P\) to \(Q\) is similar to the direction of vector \(w\).

Step2: Analyze Translation 2

Translation 2: The movement from \(P\) to \(Q\) has a direction like vector \(u\).

Step3: Analyze Translation 3

Translation 3: The path from \(P\) to \(Q\) (in this translation) has a direction similar to vector \(v\).

Step4: Analyze Translation 4

Translation 4: The direction from \(P\) to \(Q\) (in this translation) is like vector \(a\).

Answer:

1. Translation \(1\) → \(D\) (vector \(w\))
2. Translation \(2\) → \(C\) (vector \(u\))
3. Translation \(3\) → \(A\) (vector \(v\))
4. Translation \(4\) → \(B\) (vector \(a\))