subject
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

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 16:30
An equation where variables are used to represent known values—function notation true or false
Answers: 2
question
Mathematics, 21.06.2019 17:00
Aquantity with an initial value of 3900 decays exponentially at a rate of 35% every hour. what is the value of the quantity after 0.5 days, to the nearest hundredth?
Answers: 1
question
Mathematics, 21.06.2019 23:30
At your job you're paid $50 per week plus $3 per sale at least how many saled do you need to make in order to have over $250
Answers: 1
question
Mathematics, 22.06.2019 04:30
Guys can y’all me because i don’t understand to the questions of my cousin she tell me to do the homework plz me guys
Answers: 3
You know the right answer?
Will give brainliest to the correct answer :/ Look at the quadrilateral shown below:

a...
Questions
question
Mathematics, 17.09.2020 09:01
question
Spanish, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
question
History, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
question
Biology, 17.09.2020 09:01
question
Biology, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
question
History, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
question
Mathematics, 17.09.2020 09:01
Questions on the website: 13722367