Warm Up:
1.
2.
2x + 2(x + 4) = 1 + 3(x + 2)
𝑥
4
-x=
𝑥
3
+
1
2
𝑥
4
What is Geometry?
A
branch of mathematics
that studies the shape and
size of objects.
Attributes

Definition: attribute: a characteristic or
quality of something.

Much of what we will be doing in geometry will be centered on recognizing
the attributes of objects in order to see if they have a relationship between
them. In the real world, attributes might be based on colors or styles, such
as which clothing you might wear. In this course, the attributes might be
based on the types of lines forming a figure, be they parallel, perpendicular,
or neither.
The Midpoint Formula

The formula for determining the midpoint of a segment
with endpoints (x1, y1) and (x2, y2) is:

The midpoint bisects the segment into two shorter
segments of equal length.
examples

To determine the coordinates of the midpoint, the average
of the coordinates of the endpoints of the segment is
found.

Ex)
A(o, -4)

B (x, y)
C (6,3)
Ex)
A(-5,4)
B(9,-2)
C(x, y)
The Distance Formula
The distance between (x1, y1) and (x2, y2)
is given by: