## Thales' , grade 9, Question 1

Draw a right triangle ABC of hypotenuse BC s.t AB = 5cm and AC = 9cm. Use Thales to plot a point M on [AC] s.t . Construct triangle AB'C' , the reduction of triangle ABC…Read More

Draw a right triangle ABC of hypotenuse BC s.t AB = 5cm and AC = 9cm. Use Thales to plot a point M on [AC] s.t . Construct triangle AB'C' , the reduction of triangle ABC…Read More

8) (C) is a circle of center O and radius R, M is a variable point and MNBA is a parm. Plot E the point symmetric of N with respect to B: Prove that AMBE…Read More

6) ABC is any triangle, M is the midpoint of [AC], and G is the centroid of triangle ABC. If GM = x+1, and BM = 6, Calculate x. (x>-1)Read More

5) (C) is a circle of center O and radius R, [AB] is its diameter , . Calculate the measurement of angle HIB and deduce that (IH)//(AB). What's the nature of IHAB? Justify. Prove…Read More

(x>0) Find the area of triangle ABC in terms of x. Determine the value of x if that area is equal to 6. Suppose that x =2, and HC = BC, Calculate HC and AC.Read More

3) Consider a circle (C) of center O, radius 3 cm, and diameter [AB]. E is a point on (C) such that AE = 2 cm. a) Prove that AEB is a right triangle and…Read More

1) Draw a circle (C) of center O, radius 3 cm, and diameter [AB]. E is a point on (C) s.t. AE = 2 cm 1) Prove that AEB is a right triangle, and calculate…Read More