Since the width of PQRS is 4 b and the x-axis bisects P S ¯ p s bar and Q R ¯, q r bar, comma all the vertices are 2 b units from the x-axis. What are the coordinates of the vertices? The x-axis bisects P S ¯ p s bar and Q R ¯. Rectangle PQRS has length a and width 4 b. Use variables when naming the coordinates of a figure in order to show that relationships are true for a general case. When placing a figure in the coordinate plane, it is usually helpful to place at least one side on an axis. 10 close comma eh open 2 comma 10 close comma t open 4 comma 4 closeĦ-8 and 6-9 Coordinate Geometry and Coordinate Proofs Q ( 4, 5 ), U ( 12, 14 ), A ( 20, 5 ), D ( 12, − 4 ) q open 4 comma 5 close comma u open 12 comma 14 close comma eh open 20 comma 5 close comma d open 12 comma, negative 4, close.7 close comma i open 1 comma 12 close comma n open 15 comma 7 close comma e open 1 comma, negative 5, close G ( 2, 5 ), R ( 5, 8 ), A ( − 2, 12 ), D ( − 5, 9 ) g open 2 comma 5 close comma r open 5 comma 8 close comma.What is the most precise classification of the quadrilateral? Two side lengths are equal, so Δ XYZ cap delta is isosceles.ĭetermine whether Δ ABC cap delta is scalene, isosceles, or equilateral. equals, square root of 9 plus 16 end root, equals 5, end table open, negative 4 minus 0, close squared end root. square root of open, 4 minus 1, close squared. equals, square root of 36 plus 0 end root, equals 6, row3 column 1, x z, column 2 equals. equals, square root of 9 plus 16 end root, equals 5, row2 column 1, y z, column 2 equals. square root of open, negative 2 minus 1, close squared. To find the lengths of the legs, use the Distance Formula. Is Δ XYZ cap delta scalene, isosceles, or equilateral? Δ XYZ cap delta has vertices X(1, 0), Y ( − 2, − 4 y open negative 2 comma. To determine whether opposite sides are parallel, or whether diagonals or sides are perpendicular, use the Slope Formula. To determine the coordinate of the midpoint of a side, or whether the diagonals bisect each other, use the Midpoint Formula. To determine whether sides or diagonals are congruent, use the Distance Formula.
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