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

A. J is supplementary to K.
B. J is congruent to K.
C. JK is parallel to LM.
D. JK is parallel to LM.
E. KL is parallel to JM.
F. JM is parallel to KL.

Question

High School

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Answer :

RoseDavidson RoseDavidson · Answer 1 · 2025-02-18T05:26:04-05:00

There are two parallel sides and two non-parallel sides to a trapezoid. These are the actual claims:

(A) J is supplementary to K

(E) KL is parallel to JM

In American and Canadian English, a quadrilateral with at least one pair of parallel sides is referred to as a trapezoid.

It is referred to as a trapezium in British and other varieties of English.

In Euclidean geometry, a trapezoid is a convex quadrilateral by definition. The bases of the trapezoid are the parallel sides.

So, a trapezoid's adjacent point angles sum up to 180 degrees.

This implies:

J+K = supplementary angles

L+M = supplementary angles

The highlights mentioned above indicate that J and K are supplemental angles. Thus, (a) is accurate.

A trapezoid also has two parallel sides.

Lines KL and JM must be parallel to one another because they are horizontal.

The highlighted portion above indicates that lines KL and JM are parallel. So, (e) is correct.

Therefore, there are two parallel sides and two non-parallel sides to a trapezoid. These are the actual claims:

(A) J is supplementary to K

(E) KL is parallel to JM

Know more about a trapezoid here:

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