Question

7.1.01 a name

1. andres grandma ordered school pictures. she thought she would receive the original portrait, but instead she got the following images. how is each image different from the original portrait of andre?

original portrait image a image b image c image d
problems 2 - 4: here is the original figure along with several other figures.

1. which figures are scaled copies of the original figure?
2. how does each scaled copy compare to the original?
3. how do you know a figure is not a scaled copy?

Explanation:

Step1: Analyze Image A

It is stretched vertically compared to the original portrait.

Step2: Analyze Image B

It is shrunk in both width and height.

Step3: Analyze Image C

It is tilted, changing the orientation.

Step4: Analyze Image D

It is distorted in shape.

For problems 2 - 4:

Step1: Check for scaled - copies (Problem 2)

A scaled - copy has all lengths in the same ratio to the original. By counting grid - squares, Figure 3 is a scaled - copy as all side - lengths are in the same ratio to the original triangle.

Step2: Compare scaled - copy to original (Problem 3)

Figure 3 has side - lengths that are twice as long as the original triangle. The angles remain the same.

Step3: Identify non - scaled copies (Problem 4)

If the ratios of corresponding side - lengths are not equal, or the angles change, it is not a scaled copy. For example, Figure 1 has a different shape, and Figure 2 has different side - length ratios.

Answer:

1. Image A is stretched vertically, Image B is shrunk, Image C is tilted, Image D is distorted.
2. Figure 3 is a scaled copy.
3. Figure 3 has side - lengths twice as long as the original, angles remain the same.
4. If side - length ratios are unequal or angles change, it's not a scaled copy.