Question

Choose ALL answers that describe the polygon J, K, L, MJKLM if m, angle, J, equals, 83, degreesm∠J=83
∘
, m, angle, K, equals, 97, degreesm∠K=97
∘
, m, angle, L, equals, 83, degreesm∠L=83
∘
, m, angle, M, equals, 97, degreesm∠M=97
∘
, start overline, J, K, end overline, \parallel, start overline, L, M, end overline
JK
∥
LM
, and start overline, K, L, end overline, \parallel, start overline, M, J, end overline
KL
∥
MJ
.

Answer 1

Correct descriptions (all that apply):

- Parallelogram — both pairs of opposite sides are parallel (JK ∥ LM and KL ∥ MJ).
- Opposite angles are congruent — ∠J = ∠L = 83° and ∠K = ∠M = 97°.
- Consecutive angles are supplementary — 83° + 97° = 180°.
- Opposite sides are congruent — a property of all parallelograms.
- Diagonals bisect each other — true for every parallelogram.
- Has 180° rotational (point) symmetry — any parallelogram does.

Not true / not guaranteed:
- It is not a rectangle or square (angles are not 90°).
- It is not necessarily a rhombus or kite (no information that adjacent sides are equal).
- It is not a cyclic quadrilateral (opposite-angle sums are not 180° for the J–L pair).