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6. polygon q is a scaled copy of polygon p. the value of x is 6, what i…
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Question

  1. polygon q is a scaled copy of polygon p. the value of x is 6, what is the scale factor? a. \\( \frac { 3 } { 4 } \\) b. \\( \frac { 4 } { 3 } \\) c. 3 d. 4 (from unit 3. lesson 1.)

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{Length of corresponding side in new polygon}}{\text{Length of corresponding side in original polygon}}\)

Step2: Identify the corresponding sides

The original polygon \(P\) has a side of length \(4\), and the scaled - copy polygon \(Q\) has a corresponding side of length \(3\).

Step3: Calculate the scale factor

Scale factor \(=\frac{3}{4}\)

Answer:

A. \(\frac{3}{4}\)