A community for students.
Here's the question you clicked on:
 0 viewing
Susan9419
 2 years ago
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.
Susan9419
 2 years ago
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.

This Question is Closed
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.