subject
Mathematics, 27.10.2020 02:50 savannahvargas512

Look at the quadrilateral shown below: 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?

alternate interior angles
corresponding angles
corresponding sides
opposite sides


Look at the quadrilateral shown below:

Elba writes the following proof for the theorem: If the di

Answers

ansver
Answer from: laurenrubin18

alternate interior angles

Step-by-step explanation:

The two pairs of angles mentioned in step 5 are alternate interior angles.

alternate interior angles

ansver
Answer from: mattosmiriah5533

alternate interior angles

Step-by-step explanation:

ansver
Answer from: Quest
If you divide 0.1 and 0.6 you wii get 0.166666 which rounds to .167 which is answer b
ansver
Answer from: Quest

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 15:30, babygirl226
Acircular city park has a sidewalk directly through the middle that is 111 - feet long. if each bag of fertilizer covers 50 square feet, then determine how many bags of fertilizers the parks and recreation department needs to use to cover the circular park. ignore all the sidewalks around and through the park.
Answers: 1
image
Mathematics, 21.06.2019 16:30, msheehan4737
What is the first step of an indirect proof of a number that is divisible by two
Answers: 2
image
Mathematics, 21.06.2019 20:30, alex7881
Which of the following best describes the figure?
Answers: 1
image
Mathematics, 21.06.2019 21:00, JamlessJimin
The radius of a sphere is 3 inches. which represents the volume of the sphere?
Answers: 1
You know the right answer?
Look at the quadrilateral shown below: Elba writes the following proof for the theorem: If the diag...