POLYGONS IN THE COORDINATE PLANE 1.) On the graph paper below, draw polygon ABCDEFG with vertices: A( 1, 1 ) B( 9, 1 ) C( 9, 8 ) D( 7, 5 ) E( 4, 5 ) F( 4, 8 ) G( 1, 8 ) Connect point A to B, B to C, etc. When you get to point G, connect back to point A. Compose and decompose the polygons into triangles and rectangles to find the area. Area: ____________________ What quadrant is the location of the graphed polygon? ________ 2.) Plot the following points in the coordinate plane. H ( - 7, 2 ) What quadrant did you plot this point? __________ I ( 5, - 7 ) What quadrant did you plot this point? __________ J ( 7, - 9 ) What quadrant did you plot this point? __________ K ( 2, - 1 ) What quadrant did you plot this point? __________ L ( 1, - 7 ) What quadrant did you plot this point? __________ M ( - 4, - 8 ) N ( 6, 3 ) What quadrant did you plot this point? What quadrant did you plot this point? __________ __________ 3.) Identify the following points. A _______________ What quadrant is this point located? __________ B _______________ What quadrant is this point located? __________ C _______________ What quadrant is this point located? __________ D _______________ What quadrant is this point located? __________ E _______________ What quadrant is this point located? __________ F _______________ What quadrant is this point located? __________ G _______________ What quadrant is this point located? __________ FINDING DISTANCES IN THE COORDINATE PLANE What are the coordinates of point A? _______________ What are the coordinates of point B? _______________ What kind of line segment is AB? Horizontal or Vertical What do you notice about the coordinates of the line segment? ________________ _____________________________________________________________________ Find AB What are the coordinates of point C? _______________ What are the coordinates of point D? _______________ What kind of line segment is CD? Horizontal or Vertical What do you notice about the coordinates of the line segment? ________________ _____________________________________________________________________F ind CD What are the coordinates of point E? _______________ What are the coordinates of point F? _______________ What kind of line segment is EF? Horizontal or Vertical What do you notice about the coordinates of the line segment? ________________ _____________________________________________________________________ Find EF____________________________________________ What are the coordinates of point G? _______________ What are the coordinates of point H? _______________ What kind of line segment is GH? Horizontal or Vertical What do you notice about the coordinates of the line segment? ________________ _____________________________________________________________________ Find GH_____________________________________________________ What are the coordinates of point I? _______________ What are the coordinates of point J? _______________ What kind of line segment is IJ? Horizontal or Vertical What do you notice about the coordinates of the line segment? ________________ _____________________________________________________________ Find IJ _________________________________________________ FINDING DISTANCES ON NUMBER LINES #3 1.) Find AB = ____________ 2.) Find CD = ____________ FINDING DISTANCES AND AREA OF POLYGONS What are the coordinates of point A and point B? A __________ B __________ What is AB? __________________ What are the coordinates of point A and point D? A __________ D __________ What is AD? ____________________ Using the formula for area, what is the area of rectangle ABCD? Show your work. What are the coordinates of point E and point F? E __________ F __________ What is EF? _____________________ What are the coordinates of point G and point F? G __________ F __________ What is GF? _____________________ Using the formula for area, what is the area of triangle EFG? Show your work.