Mathematics, 25.05.2021 01:00 1129682

Given:In quadrilateral WXYZ , and bisect each other at point A. Prove: Quadrilateral WXYZ is a parallelogram.

Statement

Reason

1. and bisect each other. given
2. WA = YA
XA = ZA

definition of bisection

3. m∠YAZ = m∠XAW

Vertical Angles Theorem

4.

SAS criterion for congruence

5. ∠ YWX ≅ ∠WYZ

Corresponding angles of congruent triangles are congruent.

6. ||

converse of Alternate Interior Angles Theorem

7. m∠XAY = m∠ZAW

Vertical Angles Theorem

8. ∆XAY ≅ ∆ZAW

SAS criterion for congruence

9. ∠XZW ≅ ∠ZXY

Corresponding angles of congruent triangles are congruent.

10. ||

converse of Alternate Interior Angles Theorem

11. Quadrilateral WXYZ is a
parallelogram.

definition of parallelogram

What is the missing statement in this proof?

Answers: 2

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 18:30, Key1431

In the triangles, tr = ge and sr = fe. if = 3.2 ft, which is a possible measure of ? 1.6 ft 3.0 ft 3.2 ft 4.0 ft

Answers: 2

continue

Mathematics, 22.06.2019 00:50, genyjoannerubiera

Atravel agent is booking a trip to england, scotland, ireland, and france for a group of senior citizens. the agent sent surveys to the group, asking which countries they would like to visit, in order, and created the shown preference schedule (e = england, i = ireland, s = scotland, f = france). which country is the condorcet winner? number of votes 15 12 16 19 1st f e e i 2nd e s i s 3rd s i s e 4th i f f f 1. scotland 2. england 3. france 4.ireland

Answers: 1

continue

Mathematics, 22.06.2019 04:00, taylor825066

What is the inverse of the function fx = 2x-10

Answers: 1

continue

Mathematics, 22.06.2019 04:50, Karinaccccc

Click on the number until you find the right quotient. 12x^a y^b ÷ (-6x^a y)

Answers: 1

continue

You know the right answer?

Given:In quadrilateral WXYZ , and bisect each other at point A. Prove: Quadrilateral WXYZ is a para...