CONSTRUCTIONS

Gap-fill exercise

  
Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
To divide a line segment,the ratio of division must always be and .

is the basic principle used in dividing a line segment.

The means the ratio of the sides of the triangle to be constructed with the corresponding sides of the given triangle.

If a point circle, then there is only one tangent to the circle at this point and it is perpendicular to the radius through this point

If a point a circle, there cannot be a tangent to the circle through this point.

If the point the circle, there will be two tangents to the circle from this point.

If centre of the circle is not given, you may locate its centre first by taking any two non-parallel and then finding the point of intersection of their perpendicular .

If the construction of a triangle ABC in which AB = 6 cm, ∠A = 70° and ∠B = 40° is possible then the measure of ∠C=.

The construction of the triangle ABC is possible if it is given that BC = 4 cm, ∠C = 60° and the difference of AB and AC is cm.

The construction of a triangle ΔABC in which BC = 6 cm, ∠A = 50° is not possible, when difference of BC and AC is equal to cm.