26. Explore: Every } 1 8 } inch represents 1 foot. The dimensions of the tennis court are 36 feet by 78 feet. Plan: Create a proportion relating each measurement to the scale to find the measurements in inches. Then make a scale drawing. Solve: 5 ¬ } 3 x 6 } } 1 8 } (36) 5 ¬ x 4.5 5 ¬ x The width of the court should be 4.5 inches in the drawing. 5 } 1 8 } (78) 5 ¬ y 9.75 5 ¬ y The length of the court should be 9.75 inches in the drawing. Examine: The scale is } 1 8 } :1.The dimensions in the drawing are reasonable. 27. Always; the corresponding angles are congruent and the ratios of the measures of the corresponding sides are all 1. 28. Always; all angles are right angles and so all are congruent, and the ratios of the measures of the corresponding sides are all the same. 29. Never; the number of angles and sides of the figures must be the same for the figures to be compared. 30. sometimes; true when corresponding angles are congruent and ratios of measures of corresponding sides are equal, false when one of
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