Mini-Investigation Construct quadrilateral FOUR, point P, and rays PF, PO , PU ,and PR

Chapter 11, Problem 19

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Mini-Investigation Construct quadrilateral FOUR, point P, and rays PF, PO , PU ,and PR ,as shown at right. With your compass, measure the distance PF. Use your compass to mark this distance two more times along , and label point F so that is three times as long as PF . Repeat this process on the other three rays to mark points O , U , and R so that all the image points are three times as far from point P as the original points. Connect the image points to form quadrilateral F O U R , the image formed by dilating FOUR about point P by scale factor 3. Copy the original quadrilateral onto patty paper. Compare the corresponding angles of the two quadrilaterals. Are they congruent? Compare the corresponding sides with a compass or patty paper. What is the ratio of each side length of the dilated quadrilateral to its corresponding side length of the original quadrilateral? Is the dilated image similar to the original?