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Problem 677

Points \(\mathrm{A}(-4,-2), \mathrm{B}(2,-2), \mathrm{C}(4,3)\), and \(\mathrm{D}(-2,3)\) are the vertices of quadrilateral \(\mathrm{ABCD}\). (a) Plot these points on graph paper and draw the quadrilateral, (b) What kind of quadrilateral is \(\mathrm{ABCD}\) ? (c) Find the area of quadrilateral \(\mathrm{ABCD}\).

Expert verified

The quadrilateral ABCD is a rectangle, and the area is 42 square units.

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Chapter 38

Find the coordinates of the foot of the altitude to side \(\underline{\mathrm{AC}}\) of the triangle whose vertices are given by \(\mathrm{A}(-2,1), \mathrm{B}(4,7)\), and \(\mathrm{C}(6,-3)\). From this, find the length of the altitude and then the area of the triangle.

Chapter 38

Plot the points \(\mathrm{A}(-2,3), \mathrm{B}(1,5)\) and \(\mathrm{C}(4,2)\) and find the area of \(\triangle \mathrm{ABC}\).

Chapter 38

Find the area of the polygon whose vertices are \(\mathrm{A}(2,2)\), \(\mathrm{B}(9,3), \mathrm{C}(7,6)\), and \(\mathrm{D}(4,5)\).

Chapter 38

Find the area of the triangle whose vertices are \(\mathrm{A}(3,2)\), \(\mathrm{B}(7,2)\) and \(\mathrm{C}(6,5)\)

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