+912 Drag and drop an answer to each box to correctly complete the proof.
Given: rectangle JKLM
Prove: JL¯¯¯¯¯≅ MK¯¯¯¯¯¯¯
It is given that JKLM is a rectangle. By the _______________, ∠JML and ∠KLM are right angles, and because all right angles are congruent, ∠JML ≅ ∠KLM. ______________ because the opposite sides of a rectangle are congruent, and ____________ by the reflexive property of congruence. By the ___________ ,△JML ≅△ KLM . Because corresponding parts of congruent triangles are congruent, JL¯¯¯¯¯≅ MK¯¯¯¯¯¯¯ .
OPTIONS: JM¯¯¯¯¯≅ KL¯¯¯¯¯¯¯ , JM¯¯¯¯¯≅ ML¯¯¯¯ , definition of a rectangle, definition of a parallelogram , definition of a perpendictular bisector, SAS congruence postulate , SSS congruence postulate , HL congruence theorem , ML¯¯¯¯¯≅ ML¯¯¯¯¯
+2446 1) Definition of a rectangle
A rectangle is a quadrilateral with 4 right angles. That is all.
2) \(\overline{JM}\cong \overline{KL}\)
These are the only pair of segments listed that are opposite.
3) \(\overline{ML}\cong\overline{ML}\)
4) Side-Angle-Side Triangle Congruence Theorem
For this particular proof, you are utilizing one side, an included angle, and another side to prove the triangles congruent.
+2446 1) Definition of a rectangle
A rectangle is a quadrilateral with 4 right angles. That is all.
2) \(\overline{JM}\cong \overline{KL}\)
These are the only pair of segments listed that are opposite.
3) \(\overline{ML}\cong\overline{ML}\)
4) Side-Angle-Side Triangle Congruence Theorem
For this particular proof, you are utilizing one side, an included angle, and another side to prove the triangles congruent.
