Analyzing Parallel Lines: Rectangle-Square Geometric Configuration

Two rectangles are drawn on the sides of a square.

Determine whether the opposite sides parallel in the diagram?

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Step-by-step video solution

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00:00 Are the opposite sides parallel in the drawing?
00:03 In a square and rectangle all angles are right angles
00:07 In a square and rectangle each pair of opposite sides are parallel
00:11 Any line parallel to another line
00:14 Must also be parallel to any line that is parallel to the line parallel to it
00:18 Therefore all opposite sides in the drawing are parallel
00:21 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Two rectangles are drawn on the sides of a square.

Determine whether the opposite sides parallel in the diagram?

2

Step-by-step solution

The two pairs of opposite sides are parallel because the two rectangles are connected to form a square, creating a 90-degree angle.

Therefore, the opposite sides in the drawing must be parallel.

3

Final Answer

Yes

Practice Quiz

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The lines below are not the same size, but are they parallel?

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