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Starter Using a protractor, draw the angles: Starter Using a protractor, draw the angles:

Starter Using a protractor, draw the angles: - PowerPoint Presentation

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Uploaded On 2022-07-27

Starter Using a protractor, draw the angles: - PPT Presentation

26 154 201 Construct a triangle PQR with lines PQ 8cm QR 5cm and PQR 40 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 ID: 929794

point line fixed draw line point draw fixed distance lines step 5cm points 8cm join label arcs arc dot

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Presentation Transcript

Slide1

Starter

Using a protractor, draw the angles:

26°

154°

201°

Slide2

Construct a triangle PQR with lines PQ = 8cm, QR = 5cm and PQR = 40°

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.

P

Q

.

R

40

°

8cm

5cm

Slide3

P

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.

.

R

40

°

8cm

.

30

°

Construct a triangle PQR with lines PQ = 8cm,

PQR = 40

° and

RPQ = 30

°

Slide4

A

B

C

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.

9cm

5cm

7cm

Slide5

Plenary

Accurately construct the quadrilateral using the given information

6cm

5cm

2cm

100°

120°

How long is the top side of the quadrilateral?

Slide6

StarterA

AB

A

B

Draw a circle and mark a point A on its circumference.

Keep the compasses set at the size of the radius, and from point A draw an arc that cuts the circle at point B.

Repeat the process until six point are marked on the circumference. Join the points to make a regular hexagon.

Slide7

A Locus is the path you would follow if you were given certain instructions.

“Loci” is the plural of “Locus”.

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

Slide8

There are only FOUR loci.

(1) A fixed distance from a fixed point.

(2) A fixed distance from a fixed line.(4) The same distance from two fixed lines.

Lets look at the four loci individually

(3) The same distance from two fixed points.Loci

Slide9

A fixed distance from a fixed point

We end up with a circle of radius r

r

Slide10

We end up with parallel lines.

But what about at the ends?

A fixed distance from a fixed line

Slide11

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.

Slide12

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.

Slide13

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.

Moorby Newdon

Layton