Since JKLM is a rhombus, JM ≅ LM and JK ≅ LK. MK ≅ MK by the Reflexive Property of Congruence. So, △MJK ≅ △MLK by the Triangle Congruence Theorem. Therefore, ∠JMK ≅ ∠ and ∠JKM ≅ ∠ by CPCTC, so MK bisects ∠JML and ∠JKL. A similar argument shows that JL bisects ∠MJK and ∠MLK. Prove that if a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles. Complete the proof.

Given: JKLM is a rhombus.

Prove: MK bisects ∠JML and ∠JKL; JL bisects ∠MJK and ∠MLK

Use the following statements to write a compound statement for the conjunction or disjunction. then find its truth value. p: an isosceles triangle has two congruent sides. q: a right angle measures 90° r: four points are always coplanar. s: a decagon has 12 sides. a) a right angle measures 90° or an isosceles triangle has two congruent sides; true. b) a right angle measures 90° and an isosceles triangle has two congruent sides; true. c) a right angle measures 90° and an isosceles triangle does not have two congruent sides; false. d) a right angle measures 90° or an isosceles triangle does not have two congruent sides; true.