Stage 8 - Q1 - 2 marks
Find the third angle of the triangle.
Hint
Identify whether the angle is between the two known sides before drawing.
Stage 8 - Q2 - 2 marks
Find the third angle of the triangle.
Hint
Identify whether the angle is between the two known sides before drawing.
Stage 8 - Q3 - 3 marks
Is this ASA or SAS information? Explain.
Hint
Identify whether the angle is between the two known sides before drawing.
Stage 8 - Q4 - 3 marks
Is this ASA or SAS information? Explain.
Hint
Identify whether the angle is between the two known sides before drawing.
Stage 8 - Q5 - 4 marks
On separate plain paper, construct triangle ABC with \(AB=7\) cm, angle \(A=48\)° and angle \(B=46\)°. Measure AC to the nearest millimetre.
Hint
Identify whether the angle is between the two known sides before drawing.
Stage 8 - Q6 - 4 marks
On separate plain paper, construct triangle ABC with \(AB=4\) cm, angle \(A=59\)° and angle \(B=48\)°. Measure AC to the nearest millimetre.
Hint
Identify whether the angle is between the two known sides before drawing.
Stage 8 - Q7 - 5 marks
Construct a triangle with \(AB=7\) cm, angle \(A=45\)° and angle \(B=65\)°. State angle C and measure AC.
Hint
The side AB lies between the known angles.
Stage 8 - Q8 - 5 marks
A pupil is given \(AB=5\) cm, \(AC=7\) cm and angle \(BAC=50\)°. They draw the 50° angle at B. Explain why the construction is invalid and give the correct first steps.
Hint
Read the middle letter of the angle name.
Stage 8 - Q9 - 5 marks
Construct two triangles with angles 40°, 60°, 80°, using a 4 cm side between 40° and 60° for one and an 8 cm side for the other. What does this show about specifying three angles alone?
Hint
A counterexample to uniqueness needs two different valid drawings.
Stage 8 - Q10 - 5 marks
Draw \(AB=6\) cm and a ray from A making 40° with AB. Draw a circle or arc centred at B with radius 4 cm. Show that there are two possible intersections C on the ray. Measure the two possible lengths AC.
Hint
Draw the entire relevant arc, not only one guessed intersection.