2D Coordinate Geometry - Problem Solving Practice Problems Online

I left my house and walked 800 meters north, before I reached the traffic intersection.
I then turned right, and walked a further 1500 meters east, to reach the amusement park.

What is the straight-line distance (in meters) from my house to the amusement park?

$a, b, c$ are real constants such that all the lines represented by $ax+by+c=0$ are concurrent at a point $P$ . This point $P$ lies on the line $ax+by+c=0$ such that $7a+2b+8c=0$ . What are the coordinates of $P$ ?

Find the equation of the line which is tangent to the circle $(x-3)^2 + (y-11)^2 = 53$ at the point $P = ( 5, 4).$

y = \frac{18}{7} x + \frac{2}{7}

y = \frac{2}{7} x + \frac{2}{7}

y = \frac{2}{7} x + \frac{18}{7}

y = \frac{18}{7} x + \frac{18}{7}

If four points on the $xy$ -plane $A=(-1, a)$ , $B=(b, 0)$ , $C=(15, 1)$ , and $D=(2, 21)$ are the vertices of parallelogram $ABCD$ , what is the value of $a + b$ ?

Parallelogram $ABCD$ has three vertices $A=(28, 24),\ B=(3,4) \textrm{ and }\ C=(14, 36).$ If the intersection point of the two diagonals $AC$ and $BD$ is $M=(a,\ b)$ , what is the value of $a + b$ ?

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2D Coordinate Geometry - Problem Solving