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Questions and Answers
Match the following geometric terms with their definitions:
Height = Perpendicular distance between the bases of a trapezoid Bases = Parallel sides of a trapezoid Segment = Part of a line between two endpoints Area = Measure of the space inside a shape
Match the following variables with their meanings in the trapezoid ABCD:
x = Length of the segment AD ℎ = Height of the trapezoid a = Length of the base AB b = Length of the base CD
Match the following mathematical operations with their applications in the trapezoid area equation:
Multiplication = Used to calculate the product of base lengths and height Addition = Used to sum the bases and then divide by 2 Subtraction = Used to find the difference between the bases Exponentiation = Not directly used in the trapezoid area equation
What is the correct equation for the area (A) of the trapezoid ABCD in terms of x, ℎ, a, and b?
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If the length of the segment AD (x) is 10, the height (ℎ) is 5, and the lengths of the bases (a and b) are 8 and 6 respectively, what is the area (A) of the trapezoid?
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If the length of the segment AD (x) is half the difference between the lengths of the bases (a and b), what is the area (A) of the trapezoid?
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