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2.1 Exploring Patterns

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2.1 Exploring Patterns. Undefined terms : point, line and plane. Line – an infinite set of points that extends in two directions symbol Plane – named using one capital letter or using 4 points in the plane. B. T. D. A. C. Plane T or Plane ABCD.

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slide1
2.1 Exploring Patterns

Undefined terms : point, line and plane.

Line – an infinite set of points that extends in two directions

symbol

Plane – named using one capital letter or using 4 points in the plane

B

T

D

A

C

Plane T or Plane ABCD

slide2
The line segment/segment AB consists of the endpoints A and B and all points on AB that lie between A and B.

Line segment AB or BA

slide3
The ray AB consists of the initial point A and all points on the line AB that lie on the same side of A as B lies. If C is between A and B, then CA and CB are opposite rays.

RayAB

slide4
Opposite rays CA and CB A C BPoints, segments, or rays that lie on the same line are collinear.

In the line above, the following are collinear:A,B,C ; AC, CB, AB ; AC, CB, BC

slide5
The term betweenness in geometry implies collinearity. D A C B
  • C is between A and B.
  • D is not between A and B
  • The “length” of segment AB is written AB.
slide6
An angle consists of two different rays that have the same initial point. The rays are the sides of the angle. The angle that consists of the rays AB and AC is denoted by
slide8
Every nonstraight angle has an interior and an exterior.

Interior – is between the points that lie on each side of the angle

Exterior – outside the angle

slide9
Two angles are adjacent if they share a common vertex and side, but have no common interior points.

Because:

they have a common side (ray CB)

they have a common vertex (point B)

slide10
T

T

D

E

T

A

True or False.

1) and are opposite rays.

2) and are the same segment.

3) is the same as

4) is the same as

5) Is the same as

6) Is the same as

7)

8)

J

C

F

B

F

H

G

T

T

T

F

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