Question

In the diagram, PR and AC are vertical lines, while CB is a horizontal line segment. If CR : RB = 2 : 3, what are the coordinates of point Q?. A.(-2, -4) B.(-1, -5) C.(-3, -3) D.(0, -6)

Answer 1

The correct answer is

A (-2,-4)

Answer 2

we are given that the ratio of CR to RB is 2:3. We can apply similar triangles to determine the coordinates of Point q. Using similar triangle theorem, the formula that applies is BR / BC = BQ/ BABA has a length of 5 sqrt 2. BR/BC is equal to 3/5. substituing, the formula becomes 3 / 5 = BQ/ 5 sqrt 2BQ = 3 sqrt 2. the point to give a distance that of BQ is A (-2,-4)