A presentation for students regarding segments, rays, and angles. Also involves a 9-item quiz and exercises, as well as demonstrative techniques of "stretching" points to transform them to lines,
A presentation for students regarding segments, rays, and angles. Also involves a 9-item quiz and exercises, as well as demonstrative techniques of "stretching" points to transform them to lines, rays, segments, and angles.
2. SPACE is the set of ALL POINTS.
A POINT is an exact place in space. It is
denoted by a dot, having no measurement
nor dimension. POINTS are named using
A LINE is a stream of POINTS that doesn’t
end, and extends in both directions. LINES
are named by a small letter or any two
POINTS CONTAINED in the LINE.
line l or l
line BC or line CB
BC or CB
4. We can define a segment. A LINE SEGMENT
is a SUBSET/PORTION of a LINE that
includes TWO POINTS and all the POINTS in
segment BC or segment CB
BC or CB
5. We can define a ray. A RAY is a
SUBSET/PORTION of a LINE that includes
one point called the ENDPOINT and all the
POINTS on one side of the ENDPOINT.
A RAY is a LINE SEGMENT that extends in
ONLY ONE DIRECTION.
6. D E
ray DE or DE
ray ED or ED
line DE or line ED
DE or ED
7. ALL LINES are straight.
ALL LINES and SUBSETS OF LINES are sets
Every SEGMENT corresponds to a unique
POSITIVE NUMBER called DISTANCE.
A 5 km
8. The INTERSECTION or the place where TWO
DIFFERENT LINES meet is either ONE
POINT or EVERY POINT in the line.
9. 1-D Euclidean Geometry
1. Name five . G
2. Name five C
line D H L
segments. E O
3. Name five F
rays. J K
10. We can also determine a set of non-collinear
points. NON-COLLINEAR POINTS are three
or more points that are not contained on the
lie on the same line. A
From this we can
define ANGLES. B
11. TWO NON-COLLINEAR RAYS that share the
SAME ENDPOINT form an ANGLE. The
POINT where the rays intersect is called the
VERTEX of the angle. The RAYS are called
the SIDES of the angle.
angle ABC or ABC B
angle CBA or CBA C
angle B or B
12. An ACUTE ANGLE is one measuring LESS
THAN 90°. It looks more like a closed book.
13. A RIGHT ANGLE is one measuring EXACTLY
90°. It looks more like a corner.
14. An OBTUSE ANGLE is one measuring MORE
THAN 90°. It looks more like an open book.
15. 1-D Euclidean Geometry
Name four . G
of each B
type of C
angle: D H L
16. Five Items True or False (45 seconds)
Four Items Deductive Reasoning (20 seconds each)
17. All lines are STRAIGHT.
TWO NON-COLLINEAR POINTS make up
ALL LINES and SUBSETS OF LINES are
made up of points.
ACUTE ANGLES look more like open books.
A ray is a line segment that extends in ONLY
18. Name all the ACUTE ANGLES formed by
the intersection of these lines.
What are the line segments comprising the
19. If the distance AB is 5 meters, and the
distance BC is 20 decimeters, how many
centimeters does the distance AC have,
given that A-B-C?
Draw angle OMG. Then, draw a line segment
MP such that point P is inside angle OMG.