Rectangular Coordinate System, BSMT

1. Points, lines, rays, angles, angles in
standard position, distance between
points

2. A point is a location in a space. It has no
dimension ( no length, width or thickness).
Represented by a dot
A point is identified by capital letter, A, B, C, …
• A
C D
•
E
F
Points are the
fundamental building
blocks of geometry

3. A line is set of points determined by two points.
A B
• •
A line determined by A and b B is
represented by 𝐴𝐵
A line segment is the set of points between two
points
A B
A line segment
determined by A and B
is represented by 𝐴𝐵

4. A ray is a line determined by a two points A and
B, where point A is called the initial point of the
ray.
•
A ray is represented by 𝐴𝐵

5. A angle is a set of points determined by two rays
with a common initial point called the vertex
•A
B
•C
An angle determined by points A, B, and C
with B as vertex is represented by ∠𝐴𝐵𝐶 . The
symbol ∡𝐴𝐵𝐶 represents the angle measure

6. Rectangular Coordinate System – a system of
locating points in a space.
A point is assigned a unique ordered pair of
numbers (x,y)
The first coordinate of the point is the x-
coordinate (abscissa), the second coordinate is the
y-coordinate (ordinate).

8. Draw a rectangular coordinate system (x-axis and
y-axis). Plot the following points label them with
capital letters.
1. A(-4, 5)
2. B(-2, -2)
3. C(2, -4)
4. D( 3, 3)
5. E(0, -3)
6. F(4, 0)

9. Distance
Given two points 𝐴 𝑥1, 𝑦1 and 𝐵 𝑥2, 𝑦2 , the
distance d between points A and B is computed as
follows
𝑑 = 𝑥1 − 𝑥2
2 + 𝑦1 − 𝑦2
2
Another symbol for the distance between points
A and B is
𝐴𝐵

10. A(-4, 5)
B(-2, -2)
C(2, -4)
D( 3, 3)
E(0, -3)
F(4, 0)
1. Obtain the distance between A and
B
2. Obtain the distance between B and
C.
3. Obtain the distance between C and
F.
4. Obtain the distance between D and
C.
5. Obtain the distance between A and
D.