Question

unit 1, lesson 1
original
drawing 1
drawing 2
drawing 3
drawing 4
drawing 5
drawing 6
drawing 7

1. identify all the drawings that are scaled copies of the original letter f. explain how you know.

Explanation:

Step1: Check side - length ratios

For a scaled copy, the ratios of corresponding side - lengths must be equal. Compare the horizontal and vertical lengths of the segments in each drawing to those in the original 'F'.

Step2: Analyze Drawing 1

The proportions of the horizontal and vertical parts of the 'F' in Drawing 1 are the same as in the original. The ratios of lengths of corresponding segments are equal.

Step3: Analyze Drawing 2

The proportions are consistent with the original. The relative lengths of the horizontal and vertical lines match the original 'F'.

Step4: Analyze Drawing 3

The horizontal and vertical lengths are in the same ratio as in the original 'F', so it is a scaled copy.

Step5: Analyze Drawing 4

The angled line in Drawing 4 changes the shape, so it is not a scaled copy. The shape is not similar to the original 'F' in terms of proportions.

Step6: Analyze Drawing 5

The proportions of the 'F' in Drawing 5 are the same as in the original. Corresponding side - length ratios are equal.

Step7: Analyze Drawing 6

The 'F' in Drawing 6 has different proportions. The relative lengths of the horizontal and vertical parts do not match the original.

Step8: Analyze Drawing 7

The proportions of the 'F' in Drawing 7 are consistent with the original. The ratios of corresponding side - lengths are equal.

Answer:

Drawings 1, 2, 3, 5, 7 are scaled copies of the original letter F because the ratios of the lengths of their corresponding horizontal and vertical segments to those of the original 'F' are equal, maintaining the same shape.