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When the top section of an isosceles triangle is cut away parallel to its base it then becomes an isosceles trapezoid.

Q: How is a trapezoid an isosceles?

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No, not every trapezoid is an isosceles trapezoid.

An isosceles trapezoid

Yes, an isosceles trapezoid is symmetrical.

how is an isoscelels trapezoid related to a isosceles triangle

In an isosceles triangle and an isosceles trapezoid, both base angles are congruent

The diagonals of an isosceles trapezoid are equal in lengths

If the two sides which are not parallel have equal lengths, then the trapezoid is called an isosceles trapezoid (standard trapezoid has unequal sides). The base angles in an isosceles trapezoid are equal in measurement, also I know that a trapezoid with two nonparallel sides the same length is called an isosceles trapezoid.

If you extend the two legs of an isosceles trapezoid until they intersect, you get an isosceles triangle.

what is isosceles

No. It can be but need not be.

The base angles of an isosceles trapezoid are congruent

A ISOSCELES TRAPEZOID HAS ONE LINE OF SYMMETRY.....