MODELING WITH MATHEMATICS The dimensions of an actual swing set are shown. You want to create a scale model of the swing set for a dollhouse using similar triangles. Sketch a drawing of your swing set and label each side length. Then write a similarity statement for each pair of similar triangles and state the scale factor you used to create the scale model.
Question 1
A set of swings hanging from a horizontal pole labeled blank inches. The pole is connected to inverted V shape legs on both sides. A triangle, A prime B prime C prime, is on one side of the horizontal pole from ground. Line segments A prime B prime and A prime C prime are labeled blank inches, and line segment C prime B prime is labeled 2 inches. A swing makes a triangle D prime E prime F prime from the pole and E prime F prime is the width of rectangular seat. The length of chains are labeled 3 inches, and length and width of rectangular seat are labeled blank inches.$$ in.$$ in.$$ in.$$ in.
Question 2
triangle cap A cap b cap c approximates triangle$\triangle ABC\sim\triangle$△ABC~△

triangle cap d cap e cap f approximates triangle$\triangle DEF\sim\triangle$△DEF~△

Question 3
The scale factor of the sketched model to the actual swing set is k is equal to$k\ =\ $k = .

A set of swings hanging from a horizontal pole labeled 14 feet. The pole is connected to inverted V-shaped legs on both sides. A triangle, A B C, is on one side of the horizontal pole from ground. Line segments A B and A C are labeled 8 feet each and line segment C B is labeled 4 feet. One of the swings forms a triangle D E F from the pole and E F is the width of rectangular seat. The length of chains, D E and D F are labeled 6 feet each. The length and the width of rectangular seat are labeled 18 inches and 9 inches.

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