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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

Best Answer 

 #1
avatar+1493 
+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
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1+0 Answers

 #1
avatar+1493 
+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

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