Warm Up: 1. 2x + 2(x + 4) = 1 + 3(x +

2)

2. - x = +

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: