In this chapter, you will learn how to construct, or draw, different lines, angles and shapes. You will use drawing instruments, such as a ruler, to draw straight lines, a protractor to measure and draw angles, and a compass to draw arcs that are a certain distance from a point. Through the various constructions, you will investigate some of the properties of triangles and quadrilaterals; in other words, you will find out more about what is always true about all or certain types of triangles and quadrilaterals.

Bisecting lines

When we construct, or draw, geometric figures, we often need to bisect lines or angles.BisIn this chapter, you will learn how to construct, or draw, different lines, angles and shapes. You will use drawing instruments, such as a ruler, to draw straight lines, a protractor to measure and draw angles, and a compass to draw arcs that are a certain distance from a point. Through the various constructions, you will investigate some of the properties of triangles and quadrilaterals; in other words, you will find out more about what is always true about all or certain types of triangles and quadrilaterals.

Bisecting lines

When we construct, or draw, geometric figures, we often need to bisect lines or angles.Bisect means to cut something into two equal parts. There are different ways to bisect a line segment.

Bisecting a line segment with a ruler

Read through the following steps.

Step 1: Draw line segment AB and determine its midpoint.

58340.png

Step 2: Draw any line segment through the midpoint.

58356.png

The small marks on AF and FB show that AF and FB are equal.

CD is called a bisector because it bisects AB. AF = FB.

Use a ruler to draw and bisect the following line segments: AB = 6 cm and XY = 7 cm.

In Grade 6, you learnt how to use a compass to draw circles, and parts of circles called arcs. We can use arcs to bisect a line segment.

Bisecting a line segment with a compass and ruler

Read through the following steps.

Step 1

Place the compass on one endpoint of the line segment (point A). Draw an arc above and below the line. (Notice that all the points on the arc aboveand below the line are the same distance from point A.)

58818.pngect means to cut something into two equal parts. There are different ways to bisect a line segment.

Bisecting a line segment with a ruler

Read through the following steps.

Step 1: Draw line segment AB and determine its midpoint.

58340.png

Step 2: Draw any line segment through the midpoint.

58356.png

The small marks on AF and FB show that AF and FB are equal.

CD is called a bisector because it bisects AB. AF = FB.

Use a ruler to draw and bisect the following line segments: AB = 6 cm and XY = 7 cm.

In Grade 6, you learnt how to use a compass to draw circles, and parts of circles called arcs. We can use arcs to bisect a line segment.

Bisecting a line segment with a compass and ruler

Read through the following steps.

Step 1

Place the compass on one endpoint of the line segment (point A). Draw an arc above and below the line. (Notice that all the points on the arc aboveand below the line are the same distance from point A.)

## Answers ( )

Answer:In this chapter, you will learn how to construct, or draw, different lines, angles and shapes. You will use drawing instruments, such as a ruler, to draw straight lines, a protractor to measure and draw angles, and a compass to draw arcs that are a certain distance from a point. Through the various constructions, you will investigate some of the properties of triangles and quadrilaterals; in other words, you will find out more about what is always true about all or certain types of triangles and quadrilaterals.

Bisecting lines

When we construct, or draw, geometric figures, we often need to bisect lines or angles.BisIn this chapter, you will learn how to construct, or draw, different lines, angles and shapes. You will use drawing instruments, such as a ruler, to draw straight lines, a protractor to measure and draw angles, and a compass to draw arcs that are a certain distance from a point. Through the various constructions, you will investigate some of the properties of triangles and quadrilaterals; in other words, you will find out more about what is always true about all or certain types of triangles and quadrilaterals.

Bisecting lines

When we construct, or draw, geometric figures, we often need to bisect lines or angles.Bisect means to cut something into two equal parts. There are different ways to bisect a line segment.

Bisecting a line segment with a ruler

Read through the following steps.

Step 1: Draw line segment AB and determine its midpoint.

58340.png

Step 2: Draw any line segment through the midpoint.

58356.png

The small marks on AF and FB show that AF and FB are equal.

CD is called a bisector because it bisects AB. AF = FB.

Use a ruler to draw and bisect the following line segments: AB = 6 cm and XY = 7 cm.

In Grade 6, you learnt how to use a compass to draw circles, and parts of circles called arcs. We can use arcs to bisect a line segment.

Bisecting a line segment with a compass and ruler

Read through the following steps.

Step 1

Place the compass on one endpoint of the line segment (point A). Draw an arc above and below the line. (Notice that all the points on the arc aboveand below the line are the same distance from point A.)

58818.pngect means to cut something into two equal parts. There are different ways to bisect a line segment.

Bisecting a line segment with a ruler

Read through the following steps.

Step 1: Draw line segment AB and determine its midpoint.

58340.png

Step 2: Draw any line segment through the midpoint.

58356.png

The small marks on AF and FB show that AF and FB are equal.

CD is called a bisector because it bisects AB. AF = FB.

Use a ruler to draw and bisect the following line segments: AB = 6 cm and XY = 7 cm.

In Grade 6, you learnt how to use a compass to draw circles, and parts of circles called arcs. We can use arcs to bisect a line segment.

Bisecting a line segment with a compass and ruler

Read through the following steps.

Step 1

Place the compass on one endpoint of the line segment (point A). Draw an arc above and below the line. (Notice that all the points on the arc aboveand below the line are the same distance from point A.)

58818.png