EOC Strategy GEOMETRY Coordinate geometry STRATEGY 1 USE

EOC Strategy - GEOMETRY Coordinate geometry

STRATEGY #1 –USE A GRAPH If there are coordinates given in a problem -GRAPH THEM -LABEL THEM MARK THE QUESTION eye ball it

EXAMPLE G 1. 1 Describe the quadrilateral ABCD with vertices a(7, 8) B(9, 10) C(7, 12) D(5, 10).

STRATEGY #2 – LOOK FOR KEY WORDS in combination with coordinates DISTANCE FORMULA MIDPOINT FORMULA “how far? ” Halfway Length Bisect perimeter Middle Center of circle

Will we use distance or midpoint? Do not solve! Triangle RST has vertices at R(7, 4), S(12, 12), and T(2, 12). What is the approximate perimeter of triangle RST? The center of a circle is located at (0, 4). The endpoint, X, of one of the circle’s radii is ( 4, 5). Segment XY is a diameter of the circle. Where is point Y located?

EXAMPLE G 1. 2 Use both strategies: graph & key words Triangle RST has vertices at R(3, 4), S(8, 8), and T(2, 0). What is the approximate perimeter of triangle RST?

EXAMPLE G 1. 3 Use both strategies: graph & key words The center of a circle is located at (0, 4). The endpoint, X, of one of the circle’s radii is ( -4, 5). Segment XY is a diameter of the circle. Where is point Y located?

CHECK IT G 1. 4 The coordinates of the vertices of a square (-1, 0), (1, -1), (0, -3), and (-2, -2). What is the area of the square?

CHECK IT G 1. 5 A map of the school is drawn on a coordinate grid. The front office is located at ( -2, 3) and math class is located at ( -8, -2). The water fountain is located halfway between the front office and math class. Where is the drinking fountain located on the map?

Check it G 1. 6 Triangle LMN has the vertices (1, 6), (6, 3), and (5, 7). What type of triangle is Triangle LMN? A. equilateral triangle B. isosceles triangle C. scalene triangle D. obtuse triangle