29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles...
-
Upload
valeria-hamlin -
Category
Documents
-
view
228 -
download
6
Transcript of 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles...
![Page 1: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/1.jpg)
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
ww
w.m
ath
srevis
ion.c
om
MTH 3.16a
![Page 2: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/2.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 22
(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
![Page 3: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/3.jpg)
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.
![Page 4: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/4.jpg)
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.
![Page 5: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/5.jpg)
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
![Page 6: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/6.jpg)
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
![Page 7: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/7.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 77
‘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
![Page 8: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/8.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 88
Drawing SAS TrianglesDrawing SAS Triangles
SAS TrianglesSAS Triangles
AngleAngle SideSideSideSide
![Page 9: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/9.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 99
Drawing SAS TrianglesDrawing SAS Triangles
Toolkit required
1.1.RulerRuler
2.2.ProtractorProtractor
3.3.Pencil & PaperPencil & Paper
![Page 10: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/10.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 1010
Drawing SAS TrianglesDrawing SAS Triangles
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
![Page 11: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/11.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 1111
Drawing SAS TrianglesDrawing SAS Triangles
Some practiceSome practice Teejay Book Teejay Book
Page 169 Exercise 1Page 169 Exercise 1
![Page 12: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/12.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 1212
(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
![Page 13: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/13.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 1313
Drawing SAS TrianglesDrawing SAS Triangles
Part 2 : ASA trianglesPart 2 : ASA triangles
![Page 14: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/14.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 1414
‘‘We are learning to construct a triangle given two angles
and the length of the side in between’.
Aim of the LessonAim of the Lesson
Drawing ASA TrianglesDrawing ASA Triangles
![Page 15: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/15.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 1515
Drawing ASA TrianglesDrawing ASA Triangles
ASA TrianglesASA Triangles
SideSide AngleAngleAngleAngle
![Page 16: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/16.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 1616
Drawing ASA TrianglesDrawing ASA Triangles
Toolkit required
1.1.RulerRuler
2.2.ProtractorProtractor
3.3.Pencil & PaperPencil & Paper
![Page 17: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/17.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 1717
Drawing ASA TrianglesDrawing ASA Triangles
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
Check angles add to 180o
P Q
R
![Page 18: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/18.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 1818
Drawing ASA TrianglesDrawing ASA Triangles
Some practiceSome practice Teejay Book Teejay Book
Page 171 Exercise 2Page 171 Exercise 2
![Page 19: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/19.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 1919
(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
![Page 20: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/20.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 2020
Drawing SSS TrianglesDrawing SSS Triangles
Part 3 : SSS trianglesPart 3 : SSS triangles
![Page 21: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/21.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 2121
‘‘We are learning to construct a triangle given the length of three sides’.
Aim of the LessonAim of the Lesson
Drawing SSS TrianglesDrawing SSS Triangles
![Page 22: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/22.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 2222
Drawing SSS TrianglesDrawing SSS Triangles
SSS TrianglesSSS Triangles
SideSide SideSideSideSide
![Page 23: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/23.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 2323
2.2.CompassCompass
Drawing SSS TrianglesDrawing SSS Triangles
Toolkit required
1.1.RulerRuler
3.3.Pencil & PaperPencil & Paper
![Page 24: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/24.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 2424
Drawing SSS TrianglesDrawing SSS Triangles
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
Check angles add to 180o
X y
Z
Step 5 Draw in line XZ and YZ to complete triangle
![Page 25: 29-May-14Created by Mr. Lafferty1 Drawing Triangles 2.Select SAS triangles 2.Select SAS triangles 3.Select ASA triangles 3.Select ASA triangles 4.Select.](https://reader036.fdocuments.in/reader036/viewer/2022062417/55164e195503469d698b4a51/html5/thumbnails/25.jpg)
10 Apr 202310 Apr 2023 Created by Mr. Lafferty Created by Mr. Lafferty 2525
Drawing SSS TrianglesDrawing SSS Triangles
Some practiceSome practice Teejay Book Teejay Book
Page 173 Exercise 3Page 173 Exercise 3