Question

Diagonals of an isosceles trapezoid

Options:
A. "In an isosceles trapezoid, the diagonals are congruent and bisect each other."
B. "The diagonals of an isosceles trapezoid are unequal and do not intersect."
C. "Diagonals in an isosceles trapezoid are parallel, forming similar triangles."
D. "Isosceles trapezoids lack diagonals, distinguishing them from other quadrilaterals."

Answer 1

In an isosceles trapezoid, the diagonals are congruent and bisect each other.

Step-by-step explanation:

In an isosceles trapezoid, the diagonals are congruent and bisect each other. This means that the diagonals have the same length and intersect at their midpoint.

For example, let's consider a trapezoid ABCD where AB is parallel to CD and AD is congruent to BC. The diagonals AC and BD are the perpendicular bisectors of each other, meaning they intersect at point E and divide each other into two congruent segments.

Therefore, the correct option is A. "In an isosceles trapezoid, the diagonals are congruent and bisect each other."