subject
Mathematics, 08.11.2020 07:00 Arealbot

Look at the quadrilateral shown below: Image Description: A quadrilateral ABCD is shown with diagonals AC and BD intersecting in point O. Angle AOB is labeled as 1, angle BOC is labeled as 4, angle COD is labeled as 2, and angle AOD is labeled as 3.

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

Melissa'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. The _ are congruent by SAS postulate.
4. Similarly, triangles AOD and COB are congruent.
5. By CPCTC, AB is equal to DC.
6. By CPCTC, AD is equal to BC.
7. As the opposite sides are congruent, the quadrilateral ABCD is a parallelogram.

Which is the missing phrase in Melissa's proof?

Options:
A. angles ADB and CBD
B. angles AOB and COD
C. triangles ADB and CBD
D. triangles AOB and COD


Look at the quadrilateral shown below:

Image Description: A quadrilateral ABCD is shown with diag

ansver
Answers: 2

Another question on Mathematics

question
Mathematics, 21.06.2019 16:30
Cassie is traveling 675 miles today to visit her brother and his family. so far, she has stopped for gas three times. at the first stop, she put in 7.1 gallons of gas and paid $23.79. at her second stop, she put in 5.8 gallons of gas and paid $19.08. and, at the third stop, 6.6 gallons and paid $20.39. at which stop did casey pay the most for gas?
Answers: 1
question
Mathematics, 21.06.2019 17:00
Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?
Answers: 1
question
Mathematics, 21.06.2019 19:00
What is the expression in factored form? -20x^2 - 12x a. 4x(5x+3) b. -4x(5x-3) c. -4(5x+3) d. -4x(5x+3)
Answers: 2
question
Mathematics, 21.06.2019 19:30
We just started the introduction into circles and i have no idea how to do this.
Answers: 3
You know the right answer?
Look at the quadrilateral shown below: Image Description: A quadrilateral ABCD is shown with diagon...
Questions
question
Biology, 21.10.2019 21:00
question
English, 21.10.2019 21:00
question
Chemistry, 21.10.2019 21:00
Questions on the website: 13722366