Hey can anyone help me with this? One traditional type of log cabin is a single rectangular room. Suppose you began building a log cabin by placing four logs in the shape of a rectangle. What should you measure to guarantee that the logs on opposite walls are parallel? Explain.

A. What information do you need to prove the lines paraellel?

B. How can you use a diagram to help you?

C. What do you know about the angles of a geometric shape

Question

Hey can anyone help me with this? One traditional type of log cabin is a single rectangular room. Suppose you began building a log cabin by placing four logs in the shape of a rectangle. What should you measure to guarantee that the logs on opposite walls are parallel? Explain. 

A. What information do you need to prove the lines paraellel?

B. How can you use a diagram to help you?

C. What do you know about the angles of a geometric shape

lukebluefive · Answer

A. Making sure that the opposite sides are equal should be sufficient, due to the definition of a parallelogram (basically, two lines are parallel if the distance between them is constant, which will be true if the opposite sides are equal).

lukebluefive · Answer

B. Something like this:
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lukebluefive · Answer

C. Since this is a rectangle, knowing that all angles are right angles would also assure you that the opposite sides are parallel, because if two lines are perpendicular to a third line, then they are parallel to each other.

anonymous · Answer

Thanks soo much!

lukebluefive · Answer

@Centoni You're very welcome!

anonymous · Answer

Do you think you could help me with one more?

lukebluefive · Answer

Certainly; it'd be my pleasure.

anonymous · Answer

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lukebluefive · Answer

Okay, first remember that the sum of a triangle's angles must equal 180 degrees, so:
1. <2 + <3 + <4 = 180 degrees
Also, notice that if a line intersects another line, drawing exactly two angles, they must also sum to 180 degrees:
2. <1 + <4 = 180 degrees
Set these two equations equal to each other, since 180 degrees = 180 degrees:
<1 + <4 = <2 + <3 + <4
Think you can take it from here?

anonymous · Answer

No lol i'm sorry, im terrible at math

lukebluefive · Answer

Just subtract the angle <4 from both sides to get the answer you were looking for.  That's all you need to prove it.

anonymous · Answer

Alright thanks:)

anonymous · Answer

<1, <5?

lukebluefive · Answer

There isn't an angle <5, is there?
What I meant is to remove the <4 from both sides of this equation, which I derived above:
<1 + <4 = <2 + <3 + <4
To get this:
<1 = <2 + <3
Which is what you wanted, right?  That's the end of the proof.

anonymous · Answer

K cool thanks

lukebluefive · Answer

np