1. Geometry Review
Test
Chapter 2

2. Undefined terms
In Geometry, we use three undefined terms which are accepted a intuitive ideas. These terms are
point, line, and plane.
A point, according to Euclid, is
“that which has no size.”
We usually name points using
capital letters.

3. All geometric figures consist of
points.
We usually refer to a line using a
Single lower-case letter or
Using two points the line contains.
The geometric figure suggested by a wall is a
Plane.

4. Definitions Space is the Set of all points. Collinear points are
Points all in one line.
Coplanar points are
Points all in one plane.
The intersection of two figures is
The set of points that are in both figures.

5. Definitions (cont.) The term distinct means Different.
A segment is part of a line with
Two endpoints.
Opposite rays are
Distinct collinear rays with the same endpoint.
Two objects that have the same shape and size are said to be
Congruent.

6. Definitions (cont.) Congruent segments are segments
That have equal lengths.
The midpoint of a segment is the point that
Divides the segment into 2 congruent segments.
A bisector of a segment is a line, segment, ray, or plane that
Intersects the segment at its midpoint.

7. Definitions (cont.) An angle is the figure formed by
Two rays with the same endpoint.
This endpoint is known as the
Vertex of the angle.
Congruent angles are angles with the
Same measure.
An angle with measure between 0 and 90 is
An acute angle.

8. Definitions (cont.) An angle with measure equal to 90 is
A right angle.
An angle with measure between 90 and 180 is
An obtuse angle.
A straight angle is an angle with measure
180.
Adjacent angles are two angles that have
A common vertex, a common side, but no common interior points.

9. Postulates The Ruler Postulate provides a way to find
The distance between two points.
If B is between A and C, then
AB + BC = AC.
The Protractor Postulate provides a means to
Measure angles.
If angle AOC is a straight angle and B is any point not on line AC, then
Measure of angle AOB + measure of angle BOC = 180.

10. Postulates (cont.) A line contains at least Two points,
A plane contains at least
three points not all in one line, and
Space contains at least
Four points not all in one plane.
Through any two points there is
Exactly one line.

11. Postulates (cont.)
If two points are in a plane, then the line that contains the points
Is in that plane.
If two lines intersect, then their intersection
Is a point.
If two parallel lines are cut by a transversal, then
Corresponding angles are congruent.

12. Postulates (cont.)
The measure of the arc formed by two adjacent arcs is
The sum of the measures of the two arcs.
The area of a square is the square of the length
Of a side.
The area of a region is the sum of the areas of
Its non-overlapping parts.