Mathematics
Mathematics, 09.02.2021 09:10, mariannarodriguez123

Will give brainliest to the correct answer :/ Look at the quadrilateral shown below:

a quadrilateral ABCD is shown with diagonals AC and BD intersecting in point O. Angle AOB is labeled as 1, angle BOC is labeled

Elba writes the following proof for the theorem: If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram:

Elba's proof

1. For triangles AOB and COD, angle 1 is equal to angle 2 as they are vertical angles.
2. AO = OC and BO = OD because it is given that diagonals bisect each other.
3. Therefore, the triangles AOB and COD are congruent by SAS postulate.
4. Similarly, triangles AOD and COB are congruent.
5. By CPCTC, angle ABD is equal to angle CDB and angle ADB is equal to angle CBD.
6. As the _ are congruent, the opposite sides of quadrilateral ABCD are parallel.
7. Therefore, ABCD is a parallelogram.

Which is the missing phrase in Elba's proof?

A. Alternate interior angles
B. Corresponding angles
C. Corresponding sides
D. Opposite Sides


Will give brainliest to the correct answer :/

Look at the quadrilateral shown below:
a quadrilate

answer
Answers: 1

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 15:30, priceisright11401
Using the quadratic formula find the zeros of the given polynomial -5x^2+3x-11
Answers: 3
image
Mathematics, 21.06.2019 18:30, tangia
The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.
Answers: 3
image
Mathematics, 21.06.2019 22:30, hinacat87
21 a stick 7 inches long is broken into two pieces, so that one piece is twice as long as the other one. how long are the two pieces?
Answers: 1
image
Mathematics, 22.06.2019 00:30, mdaniella522
Sawsan recorded the favorite sport of students at her school. she surveyed 200 students. how many students chose tennis?
Answers: 2
Do you know the correct answer?
Will give brainliest to the correct answer :/ Look at the quadrilateral shown below:

a...

Questions in other subjects:

Konu
Mathematics, 21.09.2019 10:30