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9. parallelogram g h j k is transformed to create parallelogram g h j k…

Question

  1. parallelogram g h j k is transformed to create parallelogram g h j k.

verbal description:
algebraic rule:

Explanation:

Step1: Analyze the transformation

Let's consider a general point \((x,y)\) in parallelogram \(GHIJ\).

Step2: Find the pattern of coordinate change

For example, take a vertex. If we assume a vertex of \(GHIJ\) has coordinates \((x,y)\), and the corresponding vertex of \(G'H'I'J'\) has coordinates \((x - 8,y+ 8)\).

Answer:

Verbal Description: The parallelogram \(GHIJ\) is translated \(8\) units to the left and \(8\) units up.
Algebraic Rule: \((x,y)\to(x - 8,y + 8)\)