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An isosceles trapezium.

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true

Q: What trapezoid is a trapezoid with congruent legs?

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If the trapezoid is an isosceles trapezoid, with congruent legs, then the base angles are congruent. Otherwise, no.

True

true

Its Legs are Congruent.

True and its base angles are congruent.

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If the trapezoid is an isosceles trapezoid, with congruent legs, then the base angles are congruent. Otherwise, no.

True

true

true

An isosceles trapezoid

The legs are congruent.

Its Legs are Congruent.

Only when it's an isosceles trapezoid.

True and its base angles are congruent.

An isosceles trapezoid

A trapezoid can be proven isosceles by proving that the 2 legs are congruent (by definition), or that the 2 base angles (either upper or lower) are congruent.

The only real characteristic of a trapezoid is that one pair of opposite sides is parallel. For an isosceles trapezoid, in addition to one pair of opposite sides being parallel; the legs are congruent; each pair of base angles is congruent; and the diagonals are congruent.