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Interactive Sculpture Measurements Guide

Discover the approximate length and distance of sculptural elements using graphical representations and perpendicular segments. Learn how to calculate dimensions accurately. This educational resource provides step-by-step solutions for geometry exercises relating to sculpture measurements.

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Interactive Sculpture Measurements Guide

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  1. SCULPTURE: The sculpture on the right is drawn on a graph where units are measured in inches. What is the approximate length of SR, the depth of a seat? EXAMPLE 4 Find the distance between two parallel lines

  2. 120 – 110 10 2 . 110 – 80 30 3 – – . = = = = SOLUTION 3 15 35 – 50 2 20 50 – 30 You need to find the length of a perpendicular segment from a back leg to a front leg on one side of the chair. Using the points P(30, 80) and R(50, 110), the slope of each leg is The segment SR has a slope of The segment SR is perpendicular to the leg so the distance SR is d = 18.0 inches. (35 –50)2 + (120 –110)2 The length of SR is about 18.0 inches. EXAMPLE 4 Find the distance between two parallel lines

  3. Use the graph at the right for Exercises 5 and 6.5. What is the distance from point A to line c? 6. What is the distance from line c to line d? ANSWER 5. about 1.3 6.about 2.2 for Example 4 GUIDED PRACTICE

  4. ANSWER (2, 3); 2.8 for Example 4 GUIDED PRACTICE 7. Graph the line y = x + 1. What point on the line is the shortest distance from the point (4, 1). What is the distance? Round to the nearest tenth.

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