Question

which of the following is not true for an isosceles trapezoid. the legs are congruent the consecutive angles are supplementary the diagonals are bisected the diagonals are congruent

Explanation:

Step1: Recall properties of isosceles trapezoid

An isosceles trapezoid has legs congruent (by definition), consecutive angles supplementary (since it has two parallel sides), and diagonals congruent.

Step2: Analyze each option

• Orange option: Legs are congruent - True (by definition of isosceles trapezoid).
• Blue option: Consecutive angles are supplementary - True (because of the parallel sides, same - side interior angles are supplementary).
• Green option: Diagonals are bisected - False. In an isosceles trapezoid, diagonals are congruent but not bisected (bisecting diagonals is a property of parallelograms).
• Red option: Diagonals are congruent - True (a property of isosceles trapezoid).

Answer:

The diagonals are bisected (green option)