Trapezoid Diagonal Intersection: Do Diagonals Always Bisect Each Other?

Do the diagonals of the trapezoid necessarily bisect each other?

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1

Understand the problem

Do the diagonals of the trapezoid necessarily bisect each other?

2

Step-by-step solution

The diagonals of an isosceles trapezoid are always equal to each other,

but they do not necessarily bisect each other.

(Reminder, "bisect" means that they meet exactly in the middle, meaning they are cut into two equal parts, two halves)

For example, the following trapezoid ABCD, which is isosceles, is drawn.

Using a computer program we calculate the center of the two diagonals,

And we see that the center points are not G, but the points E and F.

This means that the diagonals do not bisect.

3

Final Answer

No

Practice Quiz

Test your knowledge with interactive questions

True OR False:

In all isosceles trapezoids the base Angles are equal.

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