CONSTRUCTIONS Construct a triangle ABC such that angle

CONSTRUCTIONS

Construct a triangle ABC such that angle A = 60⁰, AB = 9 cm and AC = 6 cm. • Step 1 : Prepare a sketch • Step 2 : draw a long line which will be the base. • Step 3 : open your compasses 9 cm and draw two arcs on either side of the base. • Step 4 : measure the line. If it is 9 cm, label and continue. If not, rub off and start again.

• Step 5 : To draw the 60⁰, you can open the compasses any length but it is better if you open it by 6 cm ( the length of AC) • Step 6: Draw a long arc from A to cut the base.

• Step 7: From the point where the long arc hits the base, draw a small arc to cut the long arc.

• Step 8 : Join A to the point where the two arcs meet. • Step 9: Measure the angle and the line. If they are 60⁰ and 6 cm, label and continue.

• Step 10: Join BC to form triangle ABC

Construct triangle PQR such that P = 90⁰, PQ = 8 cm and PR = 7 cm • Step 1: prepare a sketch • Step 2 : Draw a long line to prepare the base and to a side put a small mark to draw the perpendicular bisector.

• Step 3: to draw the perpendicular, open the compasses more than half the small line ( even the whole length of it is good). • Step 4 : From one side draw an arc at the top and an arc at the bottom.

• Step 5: Keeping the compasses open by the same amount, draw two other arcs from the other side of the small line. These two arcs should cross the previous two.

• Step 6 : Join the two arcs making sure that the length is longer than 7 cm ( because that is the length of XZ) • Step 7: Measure the angle. If it is correct, label and continue

• Step 8 : Next you need to draw the base. Open your compasses 8 cm. From point P, mark the 8 cm. • Step 9: measure the base. If it is 8 cm, label and continue.

• Step 10 : the height of the triangle is 7 cm. Open your compasses 7 cm and from point P, draw a small arc to cut the perpendicular bisector. • Step 11: Measure. If it is 7 cm, continue.

• Step 11. Join points Q to R and label.

In triangle ABC, construct i) the locus of points 5 cm away from A ii) the locus of points equidistant from B and C • Step 1: Find triangle ABC • Step 2: open compasses by 5 cm and put them on point A

• Step 3: Draw a circle centre A.

• Step 4: Open the compasses more than half BC and draw the perpendicular bisector.

• Step 5 : Join the perpendicular bisector.

• Step 6 : Follow whichever instructions are next given. Good luck