Constructions Carousel – Question 1. Draw and label a horizontal line AB that is 8.8cm long Using a compass, construct a perpendicular bisector and label this line XY Mark the Midpoin t of line AB as point Z How can we check that XY is perpendicular to AB?
Draw and label a horizontal line AB that is 8.8cm long
Using a compass, construct a perpendicular bisector and label this line XY
Mark the Midpoint of line AB as point Z
How can we check that XY is perpendicular to AB?
How can we check that XY bisects AB accurately?
What kind of triangle could a perpendicular bisector allow us to construct?
Drawing not to scale
A new straight road from Eastbourne to Hastings is 12km long.
Draw and label this road using a scale of 1cm = 1 km.
A new road junction must be constructed that is a right angle to the existing road going north from Bexhill.
A JCB has driven over your protractor and you can only use a compass. Draw the new road section from Bexhill and make sure you show your construction lines.
How do we know that we cannot simply construct a perpendicular bisector to solve this problem?
Sketch first and then use a compass to construct and label a triangle RST with a base line of 10cm and side lengths of 7cm and 7cm.
Classify your triangle as either Scalene, Equilateral, Isosceles or Right angled. Mark your triangle with the correct maths symbols to show your classification.
Construct and label triangle WXY with a baseline of 6.8cm, a side length of 5.5cm and an angle between them of 40°
Draw the missing side length and give its length to the nearest 0.1cm
I am given three angles of 45°, 60° and 75°
Will the triangle I draw
always have the same side lengths?
A walker starts at point A and walks 4.5km to point B. They turn through 50° at point B and walk a further 6.2km to point C.
Draw a scale drawing of the walk using 1cm = 1km.
How far, to the nearest 100m does the return journey from C back to A in a straight line take?
Measure and label the two other angles you have created.
How can you check that all three of your angle measurements are correct without re-measuring them?
Is it possible to have a triangle with more than one obtuse angle?
A new road is needed from Crawley to Tunbridge Wells.
The road MUST pass exactly halfway between the towns of
East Grinstead and Haywards Heath. The roads from East Grinstead and Haywards Heath meet at Crawley and form a 76° angle
Draw a version of the map above. Draw the angle accurately.
Without using a protractor, show the path of the road which starts at Crawley and passes exactly between East Grinstead and Haywards Heath
Tunbridge wells is 12km from Crawley along this new road. Using a scale of 1cm = 1km, Mark Tunbridge wells on your drawing.
Is it possible to construct a 45° angle WITHOUT using a compass. If so how?
(Clue – Two Skills needed)
A car and a van are 8km apart. The car turns 30° clockwise and sets off. The van turns 50° anti-clockwise and sets off.
Draw the diagram. Use a scale of 1cm = 1km and measure the angles accurately.
Continue the routes of the car and the van until they meet. To the nearest 0.1km, how far does each vehicle travel before their paths would cross.
The paths of the car and van form a triangle when they meet. Can you work out what angle is formed by the intersection WITHOUT measuring?
Can you construct a regular hexagon using only a pencil and a compass