The dashed figure is a dilation of the original figure. Find the scale factor. Classify the dilation as an enlargement or a reduction.
A. scale factor The fraction is 1 over 3.; reduction
B. scale factor 4; enlargement
C. scale factor 3; enlargement
D. scale factor one-fourth; reduction
To find the scale factor, we need to compare the corresponding lengths of the original figure and the dashed figure.
Since we are given a fraction as the scale factor, we can see that the corresponding lengths are in a ratio of 1:3. This means that the dashed figure is larger than the original figure.
Therefore, the correct answer is:
C. scale factor 3; enlargement
To find the scale factor, we need to compare the corresponding lengths of the dashed figure and the original figure.
First, determine the lengths of corresponding sides in both figures. Measure the length of a side in the original figure and the length of the corresponding side in the dashed figure. Let's call the length of the corresponding side in the dashed figure "x".
To find the scale factor, divide the length of the corresponding side in the dashed figure by the length of the corresponding side in the original figure.
Now, if the scale factor is greater than 1, it means the dashed figure is an enlargement (it has been scaled up). If the scale factor is less than 1, it means the dashed figure is a reduction (it has been scaled down).
Let's analyze the answer choices:
A. scale factor The fraction is 1 over 3; reduction.
Here the scale factor is 1/3, meaning the corresponding sides in the dashed figure are one-third the length of the corresponding sides in the original figure. This indicates a reduction.
B. scale factor 4; enlargement.
Here the scale factor is 4, meaning the corresponding sides in the dashed figure are 4 times the length of the corresponding sides in the original figure. This indicates an enlargement.
C. scale factor 3; enlargement.
Here the scale factor is 3, meaning the corresponding sides in the dashed figure are 3 times the length of the corresponding sides in the original figure. This indicates an enlargement.
D. scale factor one-fourth; reduction.
Here the scale factor is 1/4, meaning the corresponding sides in the dashed figure are one-fourth the length of the corresponding sides in the original figure. This indicates a reduction.
Based on the analysis, the correct answer is:
C. scale factor 3; enlargement.
the dilation factor is f = newsize/oldsize
so,
if f > 1 it is an enlargement
if f < 1 it is a reduction