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Drawing Triangles

Drawing Triangles. MTH 3.16a. 1. Using a Protractor. 2. Select SAS triangles. www.mathsrevision.com. 3. Select ASA triangles. 4. Select SSS triangles. 80 o. Q3. Calculate the missing angles. (SAS) Starter Questions. Q1. Convert the percentages to fractions. (a) 30%. (b) 60%.

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Drawing Triangles

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  1. Drawing Triangles MTH 3.16a 1. Using a Protractor 2. Select SAS triangles www.mathsrevision.com 3. Select ASA triangles 4. Select SSS triangles Created by Mr. Lafferty

  2. 80o Q3. Calculate the missing angles. (SAS) Starter Questions 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 Created by Mr. Lafferty

  3. Inside scale from 0o to 180o going in an anti-clockwise direction. Outside scale from 0o to 180o going in a clockwise direction. A 180o Protractor

  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. 

  5. 1 0 on the inside so use inside scale 2 0 on the outside so use outside scale Measuring Angles with a 180o Protractor 50o 67o

  6. 3 4 0 on the inside so use inside scale 0 on the outside so use outside scale Measuring Angles with a 180o Protractor 120o 135o

  7. Drawing SAS Triangles Aim of the Lesson ‘We are learning to construct a triangle given the length of two sides and the included angle’ Created by Mr. Lafferty

  8. Drawing SAS Triangles SAS Triangles Side Side Angle Created by Mr. Lafferty

  9. Drawing SAS Triangles • Ruler 2. Protractor 3. Pencil & Paper Toolkit required Created by Mr. Lafferty

  10. Drawing SAS Triangles C 30o B Example : Draw to scale the triangle ABC with AB = 6cm and angle CAB = 30o and AC = 5cm A Step 1 Draw line AB=6cm Step 2 Measure angle CAB from A C X Step 3 Draw the line AC = 5cm through X. Label it C. A B Step 4 Join C to B. Check angles add to 180o Created by Mr. Lafferty

  11. Drawing SAS Triangles Some practice Teejay Book Page 169 Exercise 1 Created by Mr. Lafferty

  12. (ASA) Starter Questions Q1. Convert to the 24 hour clock. (b) 6:50 am (a) 7:25 pm Q2. Write down lowest common multiple of 3, 4 , 5. Q3. List the first 4 prime numbers. Q4. Round the following to nearest 1000. (a) 12,501 (b) 369,765 Created by Mr. Lafferty

  13. Drawing SAS Triangles Part 2 : ASA triangles Created by Mr. Lafferty

  14. Drawing ASA Triangles Aim of the Lesson ‘‘We are learning to construct a triangle given two angles and the length of the side in between’. Created by Mr. Lafferty

  15. Drawing ASA Triangles ASA Triangles Angle Angle Side Created by Mr. Lafferty

  16. Drawing ASA Triangles • Ruler 2. Protractor 3. Pencil & Paper Toolkit required Created by Mr. Lafferty

  17. Drawing ASA Triangles R Q Example : Draw to scale the triangle PQR with PQ = 8cm and angle RPQ = 30o and RQP = 40o P Step 1 Draw line PQ Step 2 Measure Angle RPQ from P R Step 3 Measure angle RQP from Q Q P Step 4 Intersection point is R Check angles add to 180o Created by Mr. Lafferty

  18. Drawing ASA Triangles Some practice Teejay Book Page 171 Exercise 2 Created by Mr. Lafferty

  19. (SSS) Starter Questions Q1. Convert to the 12 hour clock. (b) 05:40 (a) 17:15 Q2. Write down lowest common multiple of 3, 4 , 5. Q3. List the prime numbers between 10 and 20. Q4. Round the following to nearest 100. (a) 13,551 (b) 369,449 Created by Mr. Lafferty

  20. Drawing SSS Triangles Part 3 : SSS triangles Created by Mr. Lafferty

  21. Drawing SSS Triangles Aim of the Lesson ‘‘We are learning to construct a triangle given the length of three sides’. Created by Mr. Lafferty

  22. Drawing SSS Triangles SSS Triangles Side Side Side Created by Mr. Lafferty

  23. Drawing SSS Triangles • Ruler 2. Compass 3. Pencil & Paper Toolkit required Created by Mr. Lafferty

  24. Drawing SSS Triangles Z X Example : Draw to scale the triangle XYZ with XY = 3cm and XZ = 5cm and YZ = 4cm y Step 1 Draw line XY=3cm Z Step 2 Use your compass to draw part of a circle centre X radius XZ=5cm Step 3 Use your compass to draw part of a circle centre Y radius YZ=4cm X Y Step 4 Intersection point is labelled Z Step 5 Draw in line XZ and YZ to complete triangle Check angles add to 180o Created by Mr. Lafferty

  25. Drawing SSS Triangles Some practice Teejay Book Page 173 Exercise 3 Created by Mr. Lafferty

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