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Artemon [7]
3 years ago
12

Which lines are parallel in the square pyramid?

Mathematics
2 answers:
ratelena [41]3 years ago
6 0

A square pyramid is a pyramid with a square base. In this problem, this base is formed by the points B, C, D and E as illustrated in the Figure above. So, the correct answers are:


First. (BC←→ ​ and DE←→)

This is indicated in Figure 1. As you can see, the red lines are parallel, that is:

\overline{BC} \ is \ parallel \ to \ \overline{DE}


Recall that two lines are parallel if they are always the same distant apart in which case they are <em>equidistant, </em>that is, they never meet.


Second. (CD←→ and BE←→)

This is indicated in Figure 2. As you can see, the green lines are parallel, that is:

\overline{CD} \ is \ parallel \ to \ \overline{BE}

natima [27]3 years ago
4 0

Answer:  The correct options are

(A) BC←→ ​and DE←→

(B) CD←→ and BE←→

Step-by-step explanation:  We are given to select each pair of sides that are parallel to each other in the square pyramid.

We know that

the base of a square pyramid is a square. And the opposite sides of a square are parallel to each other.

So, in the given square pyramid ABCDE, the base is a square BCDE.

Therefore, the pair of parallel sides are

BC and DE ;  CD and BE.

This implies that option (A) and (B) are correct.

Thus, the correct options are (A) and (B).

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