Points

A point shows a specific location. It has no size — we represent it with a small dot and name it using a capital letter (like A, B, C).

Line Segments

A line segment is a straight line with two endpoints. Its length can be measured. We write a line segment with endpoints A and B as $\overline{AB}$.

Features of a line segment:

• It is straight
• It has no thickness
• It has two endpoints

Lines

A line goes forever in both directions. It has no endpoints. We show it with arrows on both ends.

Steps to Construct a Plane Figure Using Points

1. Mark the points — Place dots on your paper where you want the corners of your figure to be. Label each point with a capital letter.

2. Connect the points — Use a ruler to draw straight lines joining the points. Each connection becomes a line segment.

3. Measure and check — Use your ruler to measure the line segments you have drawn.

4. Name the figure — Look at the number of sides and their lengths to identify the plane figure.

Example: Constructing a Rectangle

Given points: A, B, C, D

Steps:

1. Mark points A, B, C, D on your paper
2. Connect A to B using a ruler ($\overline{AB}$)
3. Connect B to C ($\overline{BC}$)
4. Connect C to D ($\overline{CD}$)
5. Connect D to A ($\overline{DA}$)

Result: You have drawn a rectangle with four sides. Opposite sides are equal in length.

Activity: Connect Points to Form Figures

Given points E, F, G, H:

• Connect E to F, F to G, G to H, and H to E
• What figure is formed? (Answer: A quadrilateral or rectangle)
• How many line segments were used? (Answer: 4 line segments)

• A triangle has 3 sides (line segments)
• A square has 4 equal sides
• A rectangle has 4 sides — opposite sides are equal
• A pentagon has 5 sides
• A hexagon has 6 sides

When constructing any plane figure:

• Always use a ruler for straight lines
• Make sure your line segments meet at the points
• Count your sides to identify the figure

1. Draw line segments of these lengths:

   • $\overline{PQ}$ = 4 cm
   • $\overline{CD}$ = 5 cm

2. Connect points A, B, C to form a triangle. How many line segments are there?

3. Draw four points that form a square. Connect them and name the figure.

In Tanzania, builders and carpenters use points, lines, and line segments when constructing houses. For example, when a mabati (corrugated iron sheet) worker marks where to cut materials, they mark points and draw lines to ensure straight cuts. Similarly, women preparing vikoti (decorative patterns on cloth) or weaving mketes (traditional mats) use points and lines to create symmetrical shapes. Understanding how to construct plane figures helps you draw accurate shapes for sewing patterns, building small structures, or drawing farm layouts.