Question

1. read the following statements: i. the diagonals in a trapezoid are always equal in length. ii. the diagonals in a trapezoid always bisect each other. iii. the diagonals in a trapezoid always intersect at the median. which of the above statements are not true for all trapezoids? i and ii only i only i, ii, and iii i and iii

Explanation:

Step1: Analyze statement I

Only in isosceles trapezoids are diagonals equal. So, this is not true for all trapezoids.

Step2: Analyze statement II

Diagonals of a trapezoid do not bisect each other. This is a property of parallelograms. So, this is not true for all trapezoids.

Step3: Analyze statement III

Diagonals of a trapezoid do not always intersect at the median. So, this is not true for all trapezoids.

Answer:

C. I, II, and III