Problem

Iiry It Use what you just learned about polygons on a coordinate plane to solve these problems. Show your work on a separate sheet of grid paper. 7 The coordinates of three corners of a square are \( (-2,0),(1,0) \), and \( (1,-3) \). Graph these three points. What are the coordinates of the fourth corner of the square? Draw the square. 8 What is the perimeter of the square in problem \( 7 ? \)

Solution

Step 1 :Step 1: Find the length of the side of the square, \(d_{A,B} = \sqrt{(1-(-2))^2+(0-0)^2} = 3\)

Step 2 :Step 2: Determine the direction of the missing vertex, in this case, diagonal direction from \((1, -3)\) could be either up-left or down-right. Choose up-left direction

Step 3 :Step 3: Move from \((1, -3)\) up-left 3 units to find the fourth corner coordinate: \((-2,-3)\)

Step 4 :Step 4: Calculate the perimeter of the square, Perimeter = 4 * side = 4 * 3 = 12

From Solvely APP
Source: https://solvelyapp.com/problems/18740/

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