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¯¯¯¯¯**

AngelRay
Nov 17, 2017

#1**+3 **

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.

TheXSquaredFactor
Nov 17, 2017

#1**+3 **

Best Answer

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.

TheXSquaredFactor
Nov 17, 2017