Polygons Answer Key
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Polygons Answer Key
📍 Part 1: Plotting and Identifying Polygons - ANSWERS
Answer: Rectangle (or quadrilateral). All angles are 90 degrees and opposite sides are equal.
Answer: Triangle (specifically an isosceles triangle)
Answer: Pentagon (5-sided polygon)
Answer: Square (all sides equal length of 3 units, all angles 90 degrees)
📏 Part 2: Calculating Side Lengths - ANSWERS
Answer: 3 units (horizontal distance: 5 - 2 = 3)
Answer: 3 units (horizontal distance: 2 - (-1) = 3)
Answer: Using distance formula: d = √[(3-0)² + (3-0)²]
d = √[9 + 9] = √18 = 3√2 ≈ 4.24 units
Answer: Length = 3 units, Width = 3 units
Perimeter = 2(l + w) = 2(3 + 3) = 12 units
📝 Part 3: Word Problem - ANSWER
Step 1: Calculate each side length
• Side 1: (1,2) to (6,2) = 5 units
• Side 2: (6,2) to (7,5) = √[(7-6)² + (5-2)²] = √[1 + 9] = √10 ≈ 3.16 units
• Side 3: (7,5) to (2,5) = 5 units
• Side 4: (2,5) to (1,2) = √[(1-2)² + (2-5)²] = √[1 + 9] = √10 ≈ 3.16 units
Step 2: Find perimeter in units
Perimeter = 5 + √10 + 5 + √10 = 10 + 2√10 ≈ 16.32 units
Step 3: Convert to feet
16.32 units × 10 feet/unit = 163.2 feet
Answer: Trapezoid (one pair of parallel sides: top and bottom sides are both horizontal)
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