An isosceles trapezoid
true
In an isosceles trapezoid, the non-parallel sides (the legs) are congruent, but the consecutive sides (one leg and one base) are not necessarily congruent. The two bases (the parallel sides) are also not equal unless the trapezoid is a rectangle. Thus, while the legs of an isosceles trapezoid are congruent, the consecutive sides are not.
Only when it's an isosceles trapezoid.
An isosceles trapezoid
A trapezoid in which the legs are congruent is called an isosceles trapezoid. In this type of trapezoid, not only are the legs equal in length, but the base angles are also equal, and the diagonals are congruent. This symmetry gives the isosceles trapezoid distinct geometric properties compared to other trapezoid types.
If the trapezoid is an isosceles trapezoid, with congruent legs, then the base angles are congruent. Otherwise, no.
True
true
true
The legs are congruent.
In an isosceles trapezoid, the non-parallel sides (the legs) are congruent, but the consecutive sides (one leg and one base) are not necessarily congruent. The two bases (the parallel sides) are also not equal unless the trapezoid is a rectangle. Thus, while the legs of an isosceles trapezoid are congruent, the consecutive sides are not.
Its Legs are Congruent.
Only when it's an isosceles trapezoid.
An isosceles trapezoid
True and its base angles are congruent.
An isosceles trapezoid
A trapezoid in which the legs are congruent is called an isosceles trapezoid. In this type of trapezoid, not only are the legs equal in length, but the base angles are also equal, and the diagonals are congruent. This symmetry gives the isosceles trapezoid distinct geometric properties compared to other trapezoid types.