9) Parallelogram \(ABCD\) is similar to parallelogram \(KLMN\)
a) What composition of transformations maps one figure onto the other? b) What is the scale factor of figure \(ABCD\) to \(KLMN\)? c) What is the value of \(x\)? d) What is the perimeter of figure \(ABCD\)? e) What is the perimeter of figure \(KLMN\)? f) What is the ratio of the perimeters of figure \(ABCD\) to figure \(KLMN\)? |
10) Upon visiting the Statue of Liberty in New York City, Chris learns that Miss Liberty foot (heel to toe) is \(25\) feet long. Chris knows that his foot is \(1.2\) feet long and Chris is \(5.4\) feet tall. Chris then thinks that he can predict Miss Liberty’s height. How can he do this? What is Chris’s prediction? Look up the height of the Statue of Liberty (see heel to head) so see how close Chris comes to the actual answer.
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11) \(\triangle FUN\) is similar to \(\triangle CAT\) The side lengths are: \(UF = 4.5\), \(AT = 8.25\), and \(UN = 6.875\) and \(FN = 6\).
a) What is the scale factor of \(\triangle FUN\) to \(\triangle CAT\)?
b) Find \(CA\)?
c) Find \(CT \)?
a) What is the scale factor of \(\triangle FUN\) to \(\triangle CAT\)?
b) Find \(CA\)?
c) Find \(CT \)?
12) \(\triangle ABC\) has been rotated \(90^{\circ}\) clockwise by point \(D\), and then dilated by a scale factor of \(\Large\frac{2}{3}\) from point \(D\).
a) What are the ordered pairs of \({A}''\)? \({B}''\)? \({C}''\)? b) How long is \(\overline{{A}''{B}''}\)?, \(\overline{{B}''{C}''}\)?, \(\overline{{A}''{C}''}\)? c) How does the perimeter of \(\triangle ABC\) compare with the perimeter of triangle \(\triangle {A}''{B}''{C}''\)? |
13) Are the sides of \(\triangle ABC\) proportional to the sides of \(\triangle DEF\)? What is the scale factor? Verify your answer by finding the lengths of all three sides of each \(\triangle ABC\) and \(\triangle DEF\).
14) In the previous picture, name the composition of transformations that map \(\triangle ABC\) to \(\triangle DEF\).
15) Worlds Largest Rubber Duck. Giant temporary duck sculptures designed by Dutch artist Florentijn Hofman have been floating at locations around the world since 2007. Miniature replicas of the rubber ducks can be purchased. Looking at the data (width, length, height), which, if any, is the mini duck a scale model of? What is the scale factor(s)?
15) Worlds Largest Rubber Duck. Giant temporary duck sculptures designed by Dutch artist Florentijn Hofman have been floating at locations around the world since 2007. Miniature replicas of the rubber ducks can be purchased. Looking at the data (width, length, height), which, if any, is the mini duck a scale model of? What is the scale factor(s)?