The diagonals of an isosceles trapezoid are equal in lengths
No, it is not.
No, not every trapezoid is an isosceles trapezoid.
A trapezoid with congruent legs is known as an isosceles trapezoid. In this type of trapezoid, the non-parallel sides (legs) are equal in length, which also implies that the base angles are congruent. This symmetry gives the isosceles trapezoid its distinct shape and properties, such as diagonal lengths being equal. The parallel sides are referred to as the bases.
An isosceles trapezoid
Yes, an isosceles trapezoid is symmetrical.
how is an isoscelels trapezoid related to a isosceles triangle
Quite simply providing that it is an isosceles trapezoid otherwise you'll need to know the lengths of the 2 diagonals
In an isosceles triangle and an isosceles trapezoid, both base angles are congruent
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.
Not for all trap. Only for an isosceles trapezoid. Well, for an Isosceles trapezoid, it could be any of the two diagonals! In order to have an isosceles trapezoid with the diagonals equal, the isosceles part MUST be precise and specific.
The base angles are congruent in an isosceles trapezoid