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
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
Answer from: Quest
If you divide 0.1 and 0.6 you wii get 0.166666 which rounds to .167 which is answer b
Answer from: Quest
30 feet
step-by-step explanation:
that would be 2 1/2 * 12
= 24 + 6
= 30 feet (answer)
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Look at the quadrilateral shown below:
Elba writes the following proof for the theorem: If the diag...
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