29-may-14created by mr. lafferty1 drawing triangles 2.select sas triangles 2.select sas triangles...

10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 11

Drawing Drawing TrianglesTriangles

2.Select SAS triangles

3.Select ASA triangles

4.Select SSS triangles

1.Using a Protractor

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MTH 3.16a


(SAS) Starter Questions(SAS) Starter Questions

Q3. Calculate the missing angles.80

o

Q1. Convert the percentages to fractions.

(a) 30% (b) 60%

Q2. Write down all the factors of 16.

Q4. Round the following to 1 decimal place.

(a) 4.549 (b) 6.551

10 Apr 2023 3

A 180o Protractor

Outside scale from 0o to 180o going in a clockwise direction.

Inside scale from 0o to 180o going in an

anti-clockwise direction.

10 Apr 2023 4

You need to be able to measure an angle to the nearest degree. To help you do this you should always:1. Look directly down onto the cross point.

2. Always use the protractor in a horizontal manner as shown below.

10 Apr 2023 5

1

2

Measuring Angles with a

180o Protractor

0 on the outside so use outside

scale

0 on the inside so use inside scale

67o

50o

10 Apr 2023 6

3

4

Measuring Angles with a

180o Protractor

0 on the outside so use outside

scale

0 on the inside so use inside scale

135o

120o


‘We are learning to construct a triangle given

the length of two sides and the included angle’

Aim of the LessonAim of the Lesson

Drawing SAS TrianglesDrawing SAS Triangles



SAS TrianglesSAS Triangles

AngleAngle SideSideSideSide



Toolkit required

1.1.RulerRuler

2.2.ProtractorProtractor

3.3.Pencil & PaperPencil & Paper



Example : Draw to scale the triangle ABC with AB = 6cm and angle CAB = 30o and AC = 5cm

Step 1 Draw line AB=6cm

A B

CStep 2 Measure

angle CAB from A

Step 3 Draw the line AC = 5cm

through X. Label it C.

Step 4 Join C to B.

Check angles add to 180o

A B

C

30o

X



Some practiceSome practice Teejay Book Teejay Book

Page 169 Exercise 1Page 169 Exercise 1


(ASA) Starter Questions(ASA) Starter Questions

Q3. List the first 4 prime numbers.

Q1. Convert to the 24 hour clock. (a) 7:25 pm (b) 6:50 am

Q2. Write down lowest common multiple of 3, 4 , 5.

Q4. Round the following to nearest 1000.

(a) 12,501 (b) 369,765



Part 2 : ASA trianglesPart 2 : ASA triangles


‘‘We are learning to construct a triangle given two angles

and the length of the side in between’.


Drawing ASA TrianglesDrawing ASA Triangles



ASA TrianglesASA Triangles

SideSide AngleAngleAngleAngle



Toolkit required

1.1.RulerRuler

2.2.ProtractorProtractor




Example : Draw to scale the triangle PQR with PQ = 8cm and angle RPQ = 30o and RQP = 40o

Step 1 Draw line PQ

P Q

RStep 2 MeasureAngle RPQ from P

Step 3 Measure angle RQP from Q

Step 4 Intersection point is R


P Q

R


(SSS) Starter Questions(SSS) Starter Questions

Q3. List the prime numbers between 10 and 20.

Q1. Convert to the 12 hour clock. (a) 17:15 (b) 05:40

Q2. Write down lowest common multiple of 3, 4 , 5.

Q4. Round the following to nearest 100.

(a) 13,551 (b) 369,449


Drawing SSS TrianglesDrawing SSS Triangles

Part 3 : SSS trianglesPart 3 : SSS triangles


‘‘We are learning to construct a triangle given the length of three sides’.





SSS TrianglesSSS Triangles

SideSide SideSideSideSide


2.2.CompassCompass


Toolkit required

1.1.RulerRuler




Example : Draw to scale the triangle XYZ with XY = 3cm and XZ = 5cm and YZ = 4cm

Step 1 Draw line XY=3cm

X Y

Z

Step 2 Use your compass to draw part of a circle centre X radius XZ=5cmStep 3 Use your compass to draw part of a circle centre Y radius YZ=4cm

Step 4 Intersection point is labelled Z


X y

Z

Step 5 Draw in line XZ and YZ to complete triangle

29-may-14created by mr. lafferty1 drawing triangles 2.select sas triangles 2.select sas triangles...

Documents

o slide

o step

lafferty1 drawing triangles

o x slide

angle angle slide

o protractor

complete triangle slide

o p q r slide