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 TrapezoidScaled Copy
3.57
2.55
3.57
510

Would you like more details or have further questions?

Here are 5 related questions:

  1. How do you calculate the scale factor between two similar shapes?
  2. If the scale factor was 3 instead of 2, what would the side lengths of the scaled copy be?
  3. What happens to the area of a shape when it is scaled by a factor of 2?
  4. How can we verify if two shapes are scaled copies of each other?
  5. 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