## Coordinate systems, grade 9, question6

In an orthonormal system of axes (x’x) and (y’y): Plot :A(1,3), B(-4,0), and C(5,0) and draw : (d):y=3x. Verify that A belongs to (d). Find the equation of a st.line (L) parallel to (d) and…Read More

In an orthonormal system of axes (x’x) and (y’y): Plot :A(1,3), B(-4,0), and C(5,0) and draw : (d):y=3x. Verify that A belongs to (d). Find the equation of a st.line (L) parallel to (d) and…Read More

In an orthonormal system of axes : Plot the points : A(0,3), B(1,-1), and C(3,2) Find the coordinates x and y of a point M knowing that : Let F be the midpoint of [BC],…Read More

In a coordinate system ,the following questions are independent: Consider: M(x,y), A(2,-1), E(3,0) and I(0,1); Calculate x and y Knowing that I is the centroid of triangle MEA. Given : K(n2-1,3) , F(0,1) and G(4,5).…Read More

In an orthonormal system , given the points: A(1,3), B(0,4) and C(-1,3); and the line : (d): y=x+4 Does A belong to (d)? Verify that B and C belong to (d) then draw (d). Prove…Read More

5) In an orthonormal system of axes (x'x) and (y'y), Consider the points E(0,-4), H(-1,1) and the line (d):y=x+2. Plot E and H. Verify that H belongs to (d) then plot (d). (d) cuts (x'x)…Read More

4) Given the points A(1,1),B(3,0) and C(1,2) and the line (d): y = 3x-1, Find the equation of the straight line (d') that is the image of line (d) by translation ov vector AB, knowing…Read More

3) In an orthonormal system of axes (x'x) and (y'y): Plot : A(-2,0), B(0,-3), & C(3,-1) Calculate the lengths of AB and AC. Deduce the nature of triangle ABC knowing that BC = . Find…Read More

2) In an orthonormal system of axes (x'x) and (y'y) of center O, given the points A(4,-2); B(-2,6) and the line (d):y=4x-2 Plot A, B, and the line (d). Determine the coordinates of M, the…Read More

2) Draw a circle C(O,4cm) of diameter [AB], Plot the midpoint M of [OB] and draw [CD] the perpendicular to [OB] at M. a) Show that COB is an equilateral triangle, then deduce the nature…Read More

1) In an orthonormal system of axes (x'x) and (y'y): a) Plot the points: A(4,2), B(-2,2), and the line (d) : y = -x + 4 b) Calculate the coordinates of G, the midpoint of…Read More