Math Problem Statement

Plot and connect the points in the order listed below. When you are done, find the perimeter of the resulting figure. A, left parenthesis, minus, 3, comma, 6, right parenthesisA(−3,6), B, left parenthesis, 3, comma, 6, right parenthesisB(3,6), C, left parenthesis, 3, comma, 2, right parenthesisC(3,2), D, left parenthesis, minus, 3, comma, 2, right parenthesisD(−3,2)

Solution

The plot shows a quadrilateral ABCD formed by connecting the points A(−3,6)A(-3,6), B(3,6)B(3,6), C(3,2)C(3,2), and D(−3,2)D(-3,2).

The perimeter of the quadrilateral is 20 units.

Would you like further details or have any questions? Here are five related questions for practice:

  1. How would you calculate the area of the quadrilateral ABCD?
  2. How does the distance formula work for points in a coordinate plane?
  3. What are the different types of quadrilaterals, and which one is ABCD?
  4. How do we find the midpoint of a line segment in the coordinate plane?
  5. Can you calculate the slope of the line passing through points A and B?

Tip: For any polygon, the perimeter is the sum of all side lengths, which you can calculate using the distance formula for each pair of connected points.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Perimeter Calculation
Polygons

Formulas

Distance Formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Perimeter Formula: P = sum of side lengths

Theorems

Distance Formula
Properties of Quadrilaterals

Suitable Grade Level

Grades 6-8

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