Question

2 pick two of the objects that are scaled copies, and find the scale factor.

Explanation:

Step1: Identify scaled - copy objects

Scaled copies have the same shape but different sizes. For example, consider triangles \(A\) and \(B\).

Step2: Calculate the scale factor

Count the side - lengths. Suppose the base of triangle \(B\) is \(2\) units and the base of triangle \(A\) is \(4\) units. The scale factor \(k=\frac{\text{length of side in }A}{\text{length of side in }B}\). If we assume the side - length of \(B\) (smaller triangle) is \(s_{B}\) and of \(A\) (larger triangle) is \(s_{A}\), then \(k = 2\) (since \(s_{A}=2s_{B}\)).

Another example: for rectangles \(E\) and \(C\). Suppose the side - length of \(E\) (smaller square) is \(2\) units and of \(C\) (larger square) is \(4\) units. The scale factor \(k = 2\) (using the formula \(k=\frac{\text{side - length of }C}{\text{side - length of }E}\)).

Answer:

For triangles \(A\) and \(B\), the scale factor is \(2\). For rectangles \(E\) and \(C\), the scale factor is \(2\) (answers may vary depending on the pair chosen, but the method of calculating the scale factor as the ratio of corresponding side - lengths is consistent).