Complete the proof below. Be sure to number your responses 1, 2, 3, and 4 (one point each).

Theorem 5-8

If one pair of opposite sides of a quadrilateral is both congruent and parallel, then it is a parallelogram.
R

Given: and
Prove: Quadrilateral H K I J is a parallelogram.

Paragraph Proof: We are given that JI II HK andJI=HK . Diagonals IH and HK are drawn intersecting at point L.1=4 and2=3 because __(1)__ are congruent. This allows us to prove that IJL =HKI by __(2)__. This allows us to state that IL= HL andJL= KL because __(3)__. In other words, diagonals IH and JK __(4)__ each other by the definition of bisector According to Theorem 5-7, quadrilateral HKIJ is a parallelogram because the diagonalsIH and JK bisect each other.

Question

Complete the proof below. Be sure to number your responses 1, 2, 3, and 4 (one point each).

Theorem 5-8

If one pair of opposite sides of a quadrilateral is both congruent and parallel, then it is a parallelogram. 
R

Given:  and  
Prove: Quadrilateral H K I J is a parallelogram.

Paragraph Proof: We are given that JI II HK  andJI=HK . Diagonals IH  and HK  are drawn intersecting at point L.1=4  and2=3 because __(1)__ are congruent. This allows us to prove that IJL =HKI by __(2)__. This allows us to state that IL= HL andJL= KL because __(3)__. In other words, diagonals IH  and JK __(4)__ each other by the definition of bisector According to Theorem 5-7, quadrilateral HKIJ is a parallelogram because the diagonalsIH  and JK bisect each other.

anonymous · Answer

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