Question: Mason is explaining to Mia why he thinks conjecture 1 is true using the diagram given on the left. All rectangles have four right angles.

Mason is explaining to Mia why he thinks conjecture 1 is true using the diagram given on the left.

"All rectangles have four right angles. I can translate and rotate rectangle ABCD until vertex A coincides with vertex Q in rectangle QRST. Since A and Q are both right angles, side AB will lie on top of side QR, and side AD will lie on top of side QT. I can then dilate rectangle ABCD with point A as the center of dilation, until points B,C, and D coincide with points R, S, and T."

2. Does Mason's explanation convince you that rectangle ABCD is similar to rectangle QRST based on the definition of similarity given above? Does his explanation convince you that all rectangles are similar? Why or why not?

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