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If JKLM is a trapezoid, which statements must be true?

A. JK is parallel to LM.
B. KL is parallel to JM.
C. \(\angle J\) is congruent to \(\angle K\).
D. JK is perpendicular to KL.
E. \(\angle J\) is congruent to \(\angle M\).
F. \(\angle J\) is supplementary to \(\angle K\).

Answer :

a. KL is parallel to JM

f. angle J is supplementary to angle z

A trapezoid is a quadrilateral with at least one pair of parallel sides, called bases. The non-parallel sides are called legs.

Trapezoids can be further classified into right, isosceles, and scalene types based on their angles and sides.

A trapezoid consist of one pair of parallel lines. And the adjascent sides of tht base are supplementary.

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Rewritten by : Barada

Final answer:

In a trapezoid, jk is parallel to lm, but the other statements may or may not be true.

Explanation:

In a trapezoid, there are certain properties that hold true:

  1. Option a. jk is parallel to lm: This statement must be true for a trapezoid.
  2. Option b. kl is parallel to jm: This statement may or may not be true for a trapezoid. It is not a necessary condition.
  3. Option c. jis congruent to zk: This statement is not true for a trapezoid. The opposite sides are not necessarily congruent.
  4. Option d. jk is perpendicular to kl: This statement is not true for a trapezoid. The opposite sides are not necessarily perpendicular.
  5. Option e. jis congruent to zm: This statement is not true for a trapezoid. The opposite angles are not necessarily congruent.
  6. Option f. jis supplementary to z: This statement may or may not be true for a trapezoid. It is not a necessary condition.

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