Question

question 21 of 25 if jklm is a trapezoid, which statements must be true? check all that apply. a. $overline{jk}$ is parallel to $overline{lm}$. b. $angle j$ is congruent to $angle m$. c. $overline{jk}congoverline{kl}$ d. $angle j$ is supplementary to $angle k$. e. $angle j$ is congruent to $angle k$. f. $overline{kl}$ is parallel to $overline{jm}$

Explanation:

Step1: Recall trapezoid definition

A trapezoid is a quadrilateral with exactly one pair of parallel sides. In trapezoid $JKLM$, it must have one pair of parallel sides. Usually, we consider the top - and bottom - like sides as the parallel ones. So $\overline{JK}$ could be parallel to $\overline{LM}$.

Step2: Analyze other options

• Option B: $\angle J$ is congruent to $\angle M$ is not a property of a general trapezoid. Only in isosceles trapezoids, base - angles are congruent in a specific way, not $\angle J$ and $\angle M$ in general.
• Option C: $\overline{JK}\cong\overline{KL}$ is not true for a general trapezoid. There is no such side - length equality requirement for a general trapezoid.
• Option D: $\angle J$ is supplementary to $\angle K$ is not true for a general trapezoid. Adjacent non - parallel sides' angles are not supplementary in a trapezoid.
• Option E: $\angle J$ is congruent to $\angle K$ is not true for a general trapezoid. There is no such angle - congruence property for a general trapezoid.
• Option F: $\overline{KL}$ is parallel to $\overline{JM}$ would make it a parallelogram (if both pairs of opposite sides are parallel), not a trapezoid.

Answer:

A. $\overline{JK}$ is parallel to $\overline{LM}$.