Ortiz Pollard
07/08/2023 · High School

Suzie's cousin, Antwon, was impressed with her scale drawing and cost estimate. He wanted her help to figure out a problem. a. Antwon lived in a different state, so he called Suzie and gave her the coordinates to the scale drawing he made for his room. The points were \( A(-4,6), B(6,6), C(6,-10), D(2,-10), E(2,-2) \), and \( F(-4,-2) \). Sketch Antwon's room on the bottom half of the Lesson 3.2 .4B Resource Page. b. Is there a way to find the length of the sides using just the coordinates and without actually plotting the diagram? For example, can you determine th length of the side from point D to point E using the points \( (2,-10) \) and \( (2,-2) \) ? c. Without looking at your graph, use your reasoning from part (b) to find th length of the remaining sides. Then, check your work using your graph.

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To sketch Antwon's room, plot the points \( A(-4, 6), B(6, 6), C(6, -10), D(2, -10), E(2, -2) \), and \( F(-4, -2) \) on a coordinate plane. The length of side \( DE \) is 8 units. The lengths of the remaining sides are \( EF = 6 \), \( FA = 8 \), \( AB = 10 \), \( BC = 16 \), and \( CD = 4 \) units.

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