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Susan9419
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Complete the proof below. Be sure to number your responses 1, 2, 3, and 4 (one point each).
Theorem 58
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 57, quadrilateral HKIJ is a parallelogram because the diagonalsIH and JK bisect each other.
 one year ago
 one year ago
Susan9419 Group Title
Complete the proof below. Be sure to number your responses 1, 2, 3, and 4 (one point each). Theorem 58 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 57, quadrilateral HKIJ is a parallelogram because the diagonalsIH and JK bisect each other.
 one year ago
 one year ago

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