Analyzing Parallel Lines: Rectangle-Square Geometric Configuration

Question

Two rectangles are drawn on the sides of a square.

Determine whether the opposite sides parallel in the diagram?

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

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.

Yes