Mathematics, 23.10.2020 18:00 biggy54
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.
Terra writes the following proof for the theorem: If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram:
Terra's proof
AO = OC because it is given that diagonals bisect each other.
BO = OD because it is given that diagonals bisect each other.
For triangles AOB and COD, angle 1 is equal to angle 2, as they are .
Therefore, the triangles AOB and COD are congruent by SAS postulate.
Similarly, triangles AOD and COB are congruent.
By CPCTC, angle ABD is equal to angle BDC and angle ADB is equal to angle DBC.
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 Terra's proof?
alternate interior angles
corresponding angles
same-side interior angles
vertical angles
Answers: 1
Mathematics, 21.06.2019 15:20
(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *β¦ 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, β¦., 1+2+3+β¦ + 99, and 1+2+3+β¦ + 100
Answers: 1
Mathematics, 21.06.2019 16:30
Which of the following answers is 7/9 simplified? 7/9 2/9 11/9 2/7
Answers: 2
Mathematics, 21.06.2019 18:10
Jordan has $5.37, which he is using to buy ingredients to make salsa. he is buying one red pepper for $1.29 and three pounds of tomatoes. if jordan has exactly the right amount of money he needs, what is the price per pound of the tomatoes? choose the correct equation to represent this real-world problem. solve the equation and verify the reasonableness of your answer. a pound of tomatoes costs .
Answers: 1
Mathematics, 22.06.2019 01:20
If x varies directly as y, and x = 7.5 when y = 10, find x when y = 4
Answers: 1
Look at the quadrilateral shown below:
A quadrilateral ABCD is shown with diagonals AC and BD inter...
Social Studies, 07.09.2021 06:10
Mathematics, 07.09.2021 06:10
Mathematics, 07.09.2021 06:10
English, 07.09.2021 06:10
Mathematics, 07.09.2021 06:10
Mathematics, 07.09.2021 06:10
Advanced Placement (AP), 07.09.2021 06:10
Biology, 07.09.2021 06:10
English, 07.09.2021 06:20
World Languages, 07.09.2021 06:20
English, 07.09.2021 06:20
Mathematics, 07.09.2021 06:20