Mathematics, 26.01.2021 02:10 Chandler1Gaming
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 17:00
If i have a 24 in loaf of bread and i cut it into two pieces one 9 in how long was the other
Answers: 2
Mathematics, 21.06.2019 21:30
Mr. vector door is buying two new cowboy hats all together the hats cost $75.12 the second heart cost twice as much as the first hat what is the price of the more expensive at round to the nearest hundredth
Answers: 1
Mathematics, 21.06.2019 22:20
The volume, v, of a rectangular prism is determined using the formula, where / is the length, w is the width, and his theheight of the prism. carltren solves for w and writes the equivalent equation w=using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches,and a length of 3.2 inches?
Answers: 2
Mathematics, 21.06.2019 23:50
Quick graph the line for y+2=32(x+4) on the coordinate plane. does anyone know the cordinates will mark brainliest.
Answers: 1
Look at the quadrilateral shown below:
A quadrilateral ABCD is shown with diagonals AC and BD inter...
Mathematics, 22.09.2020 21:01
Mathematics, 22.09.2020 21:01
Mathematics, 22.09.2020 21:01
Mathematics, 22.09.2020 21:01
Health, 22.09.2020 21:01
Computers and Technology, 22.09.2020 21:01
Mathematics, 22.09.2020 21:01