Chapter 7: Coordinate Geometry

Questions

1. Midpoint of $(-1, 4)$ and $(5, -2)$.
2. Area of triangle $(0, 0), (4, 0), (0, 3)$.
3. Distance from origin to $(7, 24)$.
4. Distance between $(1, 2)$ and $(4, 6)$.
5. Section formula: $(2, 4)$ and $(6, 8)$ divided in $1:3$.
6. Are $(1, 2), (2, 3), (3, 4)$ collinear?
7. Centroid of $(1, 2), (3, 8), (5, 5)$.
8. Ratio in which $(4, 6)$ divides join of $(2, 4)$ and $(8, 10)$.
9. Find $k$ if $(k, 3), (2, k)$ and $(6, 5)$ are collinear.
10. Find the point on the $x$-axis equidistant from $(2, -5)$ and $(-2, 9)$.

Extra Practice (Optional)

• Verify: $(2, -2), (14, 10), (11, 13), (-1, 1)$ is a parallelogram.
• Find $x$ so that $(3, x)$ is equidistant from $(3, 6)$ and $(-3, 4)$.
• Coordinates of point dividing $(-1, 3)$ and $(4, -7)$ in $2:3$.
• Show $A(1,7), B(4,2), C(-1,-1), D(-4,4)$ is a square.
• Find area of $\triangle$ with vertices $(2,3), (-1,0), (2,-4)$.