Cambridge International Mathematics

Assumed Knowledge (Geometry and graphs) 3

When we talk about lines and line segments, it is important to state exactly what we mean.

Line ABis the endless straight line passing through the

points A and B.

Line segment ABis the part of the straight line AB that

connects A with B.

Thedistance ABis the length of the line segment AB.

There are several other important words we use when talking about lines:

² Concurrent linesare three or more lines

that all pass through a common point.

² Collinear pointsare points which lie in a

straight line.

² Perpendicular linesintersect at right

angles.

² Parallel linesare lines which never intersect.

Arrow heads indicate parallelism.

² Atransversalis a line which crosses

over two other lines.

1 Copy and complete:

a Points A, B and C are ......

b The part of line BD we can see is ......

c The line parallel to line BC is ......

d The lines through B and D, C and E, and D and F, are

...... at D.

2 Draw a diagram which shows:

a line AB perpendicular to line CD b X, Y and Z being collinear

c four concurrent lines d two lines being cut by a transversal.

B LINES AND LINE SEGMENTS [4.1]

EXERCISE B

A B

A

B

A

B

distance AB

A

B

C

D

transversal

A

B

C

D

E

F

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