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sdas [7]
2 years ago
15

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
1. AO = OC because it is given that diagonals bisect each other.
2. BO = OD because it is given that diagonals bisect each other.
3. For triangles AOB and COD, angle 1 is equal to angle 2 as they are
4. Therefore, the triangles AOB and COD are congruent by SAS postulate.
5. Similarly, triangles AOD and COB are congruent.
6. By CPCTC, angle ABD is equal to angle BDC and angle ADB is equal to angle DBC.
7. As the alternate interior angles are congruent the opposite sides of quadrilateral ABCD are parallel
8. Therefore, ABCD is a parallelogram.
Which is the missing phrase in Terra's proof? (6 points)
alternate interior angles
Oь
corresponding angles
same-side interior angles
d
vertical angles

Mathematics
2 answers:
Brrunno [24]2 years ago
5 0

Answer:

you are correct and pls dont delete this anwser if i get it wrong side B

Step-by-step explanation:

Yuri [45]2 years ago
5 0

Answer:

its B

Step-by-step explanation:

just took the test

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abruzzese [7]

Answer:

10 centimeters.

Step-by-step explanation:

First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.

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Volume = a^{3} where a is the edge.

We are given the measures of the rectangular solid so we can calculate its volume:

Volume= (20)(5)(10)=1000 cubic cms.

Now, we know that  both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.

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Thus the length of an edge of the cube is 10 centimeters

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