Question

quadrilateral efgh is a scaled copy of quadrilateral abcd. what is the scale factor? a 1 b 2 c 3 d 4

Explanation:

Step1: Select corresponding sides

Let's assume a side - for example, the vertical side of the smaller quadrilateral \(ABCD\) is \(a = 3\) and the vertical side of the larger quadrilateral \(EFGH\) is \(b = 6\).

Step2: Calculate scale - factor formula

The scale factor \(k\) from the smaller figure to the larger figure is given by the ratio of the lengths of corresponding sides, \(k=\frac{\text{length of side in larger figure}}{\text{length of side in smaller figure}}\).
So, \(k = \frac{b}{a}\).

Step3: Substitute values

Substitute \(a = 3\) and \(b = 6\) into the formula: \(k=\frac{6}{3}=2\).

Answer:

B. 2