Your cart is empty.
Practice each question, then open the answer or worked solution.
Draw a line segment of length 7 cm. Find a point P on it which divides it in the ratio 3:5.
Steps of construction:
1. Draw a line segment, AB = 7 cm.
2. Draw a ray, AX, making an acute angle down ward with AB.
3. Mark the points A1, A2, A3 … A8 on AX.
4. Mark the points such that AA1 = A1A2 = A2A3 = ….., A7A8.
5. Join BA8.
6. Draw a line parallel to BA8 through the point A3, to meet AB on P.
Hence AP: PB = 3: 5
Draw a right triangle ABC in which BC = 12 cm, AB = 5 cm and ∠B = 90°. Construct a triangle similar to it and of scale factor 2/3. Is the new triangle also a right triangle?
Steps of construction:
1. Draw a line segment AB = 5 cm. Construct a right angle SAB at point A.
2. Draw an arc of radius 12 cm with B as its centre to intersect SA at C.
3. Join BC to obtain ABC.
4. Draw a ray AX making an acute angle with AB, opposite to vertex C.
5. Locate 3 points, A1, A2, A3 on line segment AX such that AA1 = A1A2 = A2A3.
6. Join A3B.
7. Draw a line through A2 parallel to A3B intersecting AB at B’.
8. Through B’, draw a line parallel to BC intersecting AC at C’.
9. Triangle AB’C’ is the required triangle.