Question

the figure on the right is a scaled copy of the figure on the left.
answer attempt 1 out of 2
which side in the figure on the right corresponds to segment om
what is the scale factor?

Explanation:

Part 1: Corresponding Side to \( OM \)

To find the corresponding side, we identify the sides of the same orientation and position in the scaled copy. Segment \( OM \) is a horizontal base - like side in the left figure. In the right figure, the horizontal base - like side is \( GF \). So the side corresponding to \( OM \) is \( GF \).

Part 2: Scale Factor

Step 1: Count the length of \( OM \)

Assume each grid square has a side length of 1. Let's count the number of grid units for \( OM \). From the graph, \( OM \) spans, say, 3 grid units (we can count the horizontal squares it covers).

Step 2: Count the length of \( GF \)

For \( GF \), counting the horizontal grid units, it spans 9 grid units.

Step 3: Calculate the scale factor

The scale factor \( k=\frac{\text{Length of corresponding side in scaled copy}}{\text{Length of side in original figure}}=\frac{9}{3} = 3\)

Answer:

• The side corresponding to \( OM \) is \( GF \).
• The scale factor is \( 3 \).