5 Marks Questions

Question 15 Marks

Identify and name the line segments and rays in the following figure:

Answer

Line segments are:
$\overline{\text{EP}}$
This is because it has two end point $E$ and $P.$
$\overline{\text{EG}}$
This is because it has two end point $E$ and $G.$
$\overline{\text{GP}}$
This is because it has two end point $G$ and $P.$
Rays are:
$\overrightarrow{\text{EF}}$
This is because it has only one end point $E.$
$\overrightarrow{\text{GH}}$
This is because it has only one end point $G.$
$\overrightarrow{\text{PQ}}$
This is because it has only one end point $P.$

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Question 25 Marks

In the adjoining figure name:
$i.\ $Four pairs of intersecting lines.
$ii.\ $Four collinear points.
$iii.\ $Three non$-$collinear points.
$iv.\ $Three concurrent lines.
$v.\ $Three lines whose point of intersection is $P.$

Answer

$i.\ $Four pairs of intersecting lines are: $\text{(AB, PQ), (AB, RS), (CD, PQ), (CD, RS)}$
$ii.\ $Four collinear points are: $\text{A, Q, S, B}$
$iii.\ $Three non$-$collinear points are: $\text{A, Q, P}$
$iv.\ $Three concurrent lines are: $\text{AB, PS}$ and $RS.$
$v.\ $Three lines whose point of intersection is $P$ are: $\text{CD, PQ}$ and $PS.$

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