Problem

Many geometric shapes can be created with intersecting lines. For example, a triangle is f...

Many geometric shapes can be created with intersecting lines. For example, a triangle is formed when three lines intersect at three distinct points called vertices. Find equations of lines that satisfy the characteristics described. Sketching a graph may be helpful.

Square Three vertices of a square are (1, 2), (4, 2), and (4, 5).

(a) Find the fourth vertex.


(b) Find equations of lines that correspond to the four sides of the square.


(c) Graph all four lines. Is a square formed?

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