Mathematics
Mathematics, 16.12.2020 20:10, Savy8595

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 as 4, angle COD is labeled as 2, and angle AOD is labeled as 3.

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

Clara's proof

For triangles AOB and COD, angle 1 is equal to angle 2, as they are vertical angles.

AO = OC and BO = OD because it is given that diagonals bisect each other.

The triangles AOB and COD are congruent by SAS postulate.

Similarly, triangles AOD and COB are congruent.

By _, angle ABD is equal to angle CDB and angle ADB is equal to angle CBD.

As the alternate interior angles are congruent, the opposite sides of quadrilateral ABCD are parallel.

Therefore, ABCD is a parallelogram.

Which is the missing phrase in Clara's proof?

CPCTC

property of parallelograms

transitive property

vertical angles theorem


Look at the quadrilateral shown below:

A quadrilateral ABCD is shown with diagonals AC and BD int

answer
Answers: 2

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 13:50, kassidy49
Every rhombus is a square. true false
Answers: 2
image
Mathematics, 21.06.2019 19:30, cykopath
Me max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.
Answers: 2
image
Mathematics, 21.06.2019 22:10, pandapractice6834
What is the factor form of x^2-9x+14
Answers: 2
image
Mathematics, 21.06.2019 23:30, abell23000
Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)
Answers: 3
Do you know the correct answer?
Look at the quadrilateral shown below: A quadrilateral ABCD is shown with diagonals AC and BD inter...

Questions in other subjects:

Konu
Biology, 30.10.2020 23:50