Coordinate Geometry Concepts
Quadrant I; (+, +)
y-axis
Quadrant II: (-, +)
Quadrant III: (-, -)
Quadrant IV: (+, -)
Origin (0,0)
x-axis
Coordinate – a point
Ordered pair – (x, y)
The distance d between two points A(x₁, y₁)
and B (x₂, y₂) is:
R(-2, 6) and S(6, -2) find the distance to the
nearest tenth.
AB has endpoints A (1, -3) and B (-4, 4). Find
AB to the nearest tenth.
Each morning Juanita takes the “Blue Line” subway
from Oak Station to Symphony Station. The map
shows that Oak Station is one mile west and two
miles south of the City Plaza and Symphony Station
is one mile east and two miles north. Find the
distance.
The coordinates of the midpoint M of AB with
endpoints A(x₁, y₁) and B(x₂, y₂) are the
following:
AB has endpoints (8,9) and (-6,-3). Find the
coordinates of its midpoint M.
Find the coordinates of the midpoint of XY
with endpoints X(2, -5) and Y(6, 13)
The midpoint of DG is M(-1,5). One endpoint
is D(1,4). Find the coordinates of the other
endpoint G.
Know the quadrants, distance between points, midpoint calculations, and practical applications through subway journeys. Learn to find distances, endpoints, and midpoints with step-by-step examples and visual aids.
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Presentation Transcript
Quadrant I; (+, +) y-axis Quadrant II: (-, +) Quadrant III: (-, -) Quadrant IV: (+, -) Origin (0,0) Coordinate a point Ordered pair (x, y) x-axis
The distance d between two points A(x, y) and B (x , y ) is:
R(-2, 6) and S(6, -2) find the distance to the nearest tenth.
AB has endpoints A (1, -3) and B (-4, 4). Find AB to the nearest tenth.
Each morning Juanita takes the Blue Line subway from Oak Station to Symphony Station. The map shows that Oak Station is one mile west and two miles south of the City Plaza and Symphony Station is one mile east and two miles north. Find the distance.
The coordinates of the midpoint M of AB with endpoints A(x , y ) and B(x , y ) are the following:
AB has endpoints (8,9) and (-6,-3). Find the coordinates of its midpoint M.
Find the coordinates of the midpoint of XY with endpoints X(2, -5) and Y(6, 13)
The midpoint of DG is M(-1,5). One endpoint is D(1,4). Find the coordinates of the other endpoint G.
