Question

The coach took a digital photo of the new cycling team bike. She sent a 4 cm-by-6 cm photo to each team

member.
1. If the photo were enlarged to 150% of its original size, what would be its new length (long side)?
9
2. Suppose you want to make a 2 cm-by-3 cm copy of the original photo.
What percent should you use?
50%
3. What will be the measurement for each angle in the smaller photo?

Answer 1

The new length of the photo when enlarged to 150% of its original size is 6 cm. To make a 2 cm-by-3 cm copy of the original photo, a percentage of 50% should be used. The measurement for each angle in the smaller photo remains the same as the original photo.

Step-by-step explanation:

To find the new length (long side) of the photo, we can multiply the original length by the enlargement percentage. Since the photo is enlarged to 150% of its original size, the new length will be 150% of 4 cm, which is (150/100) x 4 = 6 cm.

To find the percentage to use for a 2 cm-by-3 cm copy of the original photo, we can calculate the scale factor by dividing the desired length by the original length. The scale factor for the length is 2 cm / 4 cm = 0.5. To find the percentage, we multiply the scale factor by 100, which gives us 0.5 x 100 = 50%.

The measurement for each angle in the smaller photo would remain the same as the original photo, since angles do not change when a photo is resized or scaled.

Answer 2

1. 9 cm

2. 50%

3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).

Step-by-step explanation:

1. The long side is clearly the 6 cm side. multiply it by 1.5x (150%) and you get 9.

2. 2 is 50% of 4 and 3 is 50% of 6.

3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).