Q: Is a trapezoid with congruent legs an isosceles trapezoid?

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An isosceles trapezoid

Only when it's an isosceles trapezoid.

An isosceles trapezoid

Opposites sides of an isosceles trapezoid are congruent

A trapezoid with congruent diagonals is an isosceles trapezoid.

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An isosceles trapezoid

True

true

An isosceles trapezoid

Its Legs are Congruent.

The legs are congruent.

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

Only when it's an isosceles trapezoid.

An isosceles trapezoid

True and its base angles are congruent.

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 base angles are congruent in an isosceles trapezoid