Using a protractor, draw the angles: Starter Using a protractor, draw the angles: 26° 154° 201°

Construct a triangle PQR with lines PQ = 8cm, QR = 5cm and PQR = 40° . 40° P Q 8cm Draw an 8cm line and label the ends P and Q. This is the line PQ. Place the centre of the protractor on Q with the 0° line pointing to P. Measure a 40° angle clockwise from 0°. Mark it with a dot. Draw a 5cm line from Q through the dot. Label the end of this line R. Join up P and R to complete the triangle.

Construct a triangle PQR with lines PQ = 8cm, PQR = 40° and RPQ = 30° . . 30° 40° P 8cm Q Draw an 8cm line and label the ends P and Q. This is the line PQ. Place the centre of the protractor on Q with the 0° line pointing to P. Measure a 40° angle clockwise from 0°. Mark it with a dot. Draw a line from Q through the dot. Place the centre of the protractor on P with the 0° line pointing to Q. Measure a 30° angle anticlockwise from 0°. Complete as with other angle. Point R is where the two lines meet.

Construct a triangle ABC with side lengths AB = 9cm, AC = 5cm and BC = 7cm. Draw a 9cm line and label the ends A and B. This is the line AB. Set your compasses to 5cm and with the point on A draw an arc. Set your compasses to 7cm and with the point on B draw an arc. Label this point C and join A to C then B to C to get the lines AC and BC.

Plenary Accurately construct the quadrilateral using the given information 5cm 100° 120° 2cm 6cm How long is the top side of the quadrilateral?

Starter A Draw a circle and mark a point A on its circumference. A B Keep the compasses set at the size of the radius, and from point A draw an arc that cuts the circle at point B. A B Repeat the process until six point are marked on the circumference. Join the points to make a regular hexagon.

Loci “Loci” is the plural of “Locus”. A Locus is the path you would follow if you were given certain instructions. Eg. You must walk so that you are always 5 metres inside the fence surrounding the school fields. Where must you walk? Eg. A goat is tethered to a rope that is 4 metres long. Show the region the goat can reach.

Loci There are only FOUR loci. (1) A fixed distance from a fixed point. (2) A fixed distance from a fixed line. (3) The same distance from two fixed points. (4) The same distance from two fixed lines. Lets look at the four loci individually

A fixed distance from a fixed point We end up with a circle of radius r

A fixed distance from a fixed line We end up with parallel lines. But what about at the ends?

The same distance from two fixed points Step 1 Open a pair of compasses to a distance that is slightly greater than half the distance between the points. Step 2 From one point draw two arcs, one above the points and one below. Step 3 Repeat this from the other point. Step 4 Join where the arcs cross together.

The same distance from two fixed lines Step 1 On each line draw an arc, centred at the point where the lines cross. Step 2 From each of these points draw two more arcs. Step 3 Join where the arcs cross to where the lines cross.

Layton Moorby Newdon The map above, drawn to a scale of 4cm to 1 km, shows the positions of three villages, Layton, Moorby and Newdon. Simon’s house is the same distance from Moorby as it is from Layton. The house is also less than ¾ km from Newdon. Mark on the map the possible positions of Simon’s house. Show your construction lines clearly.