Question

A conjecture and the flowchart proof used to prove the conjecture are shown. Given: J K L M is a parallelogram. Ray L N bisects angle K L P. Prove: Angle 1 is congruent to angle 3. Art: Parallelogram J K L M. Two rays L N and LP share an endpoint at vertex L. Ray L N extends horizontally right, continuing segment M L and forming an exterior angle K L N. Angle K L N is labeled 2. Ray L P extends diagonally right to the ray L N at vertex forming an exterior angle N L P. Angle N L P is labeled as 3. Drag an expression or phrase to each box to complete the proof.

Answer 1

JKLM is a parallelogram = Given

given = LN bisects KLP

JM is parallel to KL = definiton of parallelogram

∠2≅ ∠3 = definiton of bisect

∠1≅ ∠3 = transitive property of congruence

Step-by-step explanation:

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Answer 2

JKLM is a parallelogram: Given

LN bisects KLP: Given

JM is a parallel to KL: Definition of parallelogram

2 = 3: Definition of bisect

1 = 2: Corresponding Angles Postulate

1 = 3: Transitive property of congruence