EOC Strategy - GEOMETRYCoordinate 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 G1.1

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

“how far?” Length perimeter

MIDPOINT FORMULA Halfway Bisect 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 G1.2Use 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 G1.3Use 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 G1.4

The coordinates of the vertices of a square are (-1, 0),

(1, -1), (0, -3), and (-2, -2). What is the area of the square?

CHECK IT G1.5

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 G1.6

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