Proportional Reasoning-1 - Flash Cards
1/19
What does proportional change mean?
Proportional change refers to a situation where two quantities change by the same factor, maintaining their ratio.
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2/19
When are two shapes considered similar?
Two shapes are considered similar if their corresponding dimensions (like width and height) are in the same ratio.
3/19
What are the dimensions of an image?
The dimensions of an image refer to its width and height, typically measured in millimeters (mm).
4/19
Why do images look similar?
Images look similar when the ratios of their corresponding dimensions are equal, indicating proportional changes.
5/19
If the width of an image is doubled, what else must happen for the image to remain similar?
The height must also be doubled to maintain similarity.
6/19
What makes images B and E look different?
Images B and E look different because their width and height do not change by the same factor compared to A.
7/19
How can we compare two images quantitively?
To compare images quantitively, divide their corresponding dimensions and check if the ratios are equal.
8/19
What formula helps determine the similarity of shapes?
If width1/width2 = height1/height2, the two shapes are similar.
9/19
What is a common mistake when comparing shapes?
One common mistake is to focus solely on dimensions without considering the ratios.
10/19
What dimensions were given for Image A?
Image A has dimensions 60 mm width and 40 mm height.
11/19
How does Image C compare to Image A?
Image C is half the width and half the height of Image A, showing proportional change.
12/19
Why do ratios matter in images?
Ratios determine similarity; if dimensions are proportional, the images will look alike.
13/19
How to identify similar images?
Check whether the width and height of the images change by the same factor.
14/19
What is the difference between proportional and non-proportional changes?
Proportional changes keep the ratio constant, while non-proportional changes do not.
15/19
What happens when you scale an image uniformly?
When an image is scaled uniformly, both width and height change by the same multiplication factor.
16/19
What is a ratio?
A ratio is a comparison of two quantities, indicating how many times one value contains or is contained within the other.
17/19
What are proportions?
Proportions express the equality of two ratios.
18/19
How is the height of Image B compared to Image A?
Height of Image B is 20 mm less than Image A; it is half of Image A's height.
19/19
What conclusion can we draw from comparing images A, C, and D?
Images A, C, and D are similar because their dimensions maintain proportional changes.
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