Given the trapezoids in the drawing.
Are they the same trapezoid?
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Given the trapezoids in the drawing.
Are they the same trapezoid?
We calculate the perimeter of the left trapezoid:
We calculate the perimeter of the right trapezoid:
The perimeters of the two trapezoids are equal to each other.
No, but their perimeter is identical.
Given the trapezoid:
What is the area?
Congruent shapes must have identical corresponding sides and angles, not just equal perimeters. Think of it like this: a rectangle with sides 3×7 and another with sides 1×9 both have perimeter 20, but they're completely different shapes!
Add up all four sides just like with numbers! For the left trapezoid: . Combine like terms and keep variables in the final expression.
It means if you walked around the edge of either trapezoid, you'd travel the same total distance. Both perimeters equal , but the shapes are arranged differently.
No! Looking at the diagrams, the trapezoids have different orientations and side arrangements. Even though their perimeters are equal, their corresponding sides don't match up for any value of x.
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