Math Problem Statement
solve this
Find the corresponding side lengths of the scaled copy that correspond to the side lengths of the original trapezoid.
Solution
The image displays two trapezoids: the "Original Trapezoid" and the "Scaled Copy." The task is to find the corresponding side lengths of the scaled copy and fill in the table.
From the image:
- The original trapezoid has side lengths: 3.5, 2.5, 3.5, and 5.
- The scaled copy has side lengths: 7, 5, 7, and 10.
We can observe that the scaling factor is 2 (because each side of the scaled trapezoid is twice the corresponding side of the original trapezoid).
Now let's fill in the table:
Original Trapezoid | Scaled Copy |
---|---|
3.5 | 7 |
2.5 | 5 |
3.5 | 7 |
5 | 10 |
Would you like more details or have further questions?
Here are 5 related questions:
- How do you calculate the scale factor between two similar shapes?
- If the scale factor was 3 instead of 2, what would the side lengths of the scaled copy be?
- What happens to the area of a shape when it is scaled by a factor of 2?
- How can we verify if two shapes are scaled copies of each other?
- How would the perimeter of the scaled trapezoid compare to that of the original trapezoid?
Tip: Always multiply each dimension by the same scale factor to find the corresponding side lengths of similar figures.
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Math Problem Analysis
Mathematical Concepts
Geometry
Scale Factor
Proportions
Similar Figures
Formulas
Scaled length = Original length × Scale factor
Theorems
Similar Figures Theorem
Suitable Grade Level
Grades 6-8