Question

If JKLM is a trapezoid, which statement must be true? Check all that apply

a. Line JK is parallel to LM
b. Angle J is supplementary to angle K
c. Angle J is congruent to angle M
d. Angle J is congruent to angle K
e. Line KL is parallel to JM

Answer 1

The statement that must be true for a trapezoid is that line JK is parallel to LM.

Step-by-step explanation:

A trapezoid is a quadrilateral with one pair of parallel sides. Let's analyze each statement:

1. a. Line JK is parallel to LM: This statement must be true because one pair of opposite sides must be parallel for a shape to be classified as a trapezoid.
2. b. Angle J is supplementary to angle K: This statement is not necessarily true. The angles at the base of a trapezoid are not always supplementary.
3. c. Angle J is congruent to angle M: This statement is not necessarily true. The opposite angles in a trapezoid are not always congruent.
4. d. Angle J is congruent to angle K: This statement is not necessarily true. The adjacent angles in a trapezoid are not always congruent.
5. e. Line KL is parallel to JM: This statement is not necessarily true. The non-parallel sides of a trapezoid are not always congruent or parallel.

Therefore, the correct statements are: a. Line JK is parallel to LM.