Introduction to Coordinate Geometry

The graph of $x=-2$is a line parallel to the _____ ($x$-axis/$y$-axis)

You are lucky enough to have found the only surviving copy of a treasure map left by the notorious pirate Short James Platinum - scourge of the seven seas. He has buried many pieces of treasure on the island - each in different location.

The distance between the place Mermaid Pool and Trader's bay is

$A(-4, 3)$,$B(6, 3)$ and $C(2,-3)$ are three vertices of a ||gm ABCD. Plot the points on graph and find the fourth vertex D. 

Draw the graph of the line $x+4=0$

Draw the graph of the line $y=-5$

O is the origin and OABC is a rectangle such that OA is along x-axis and OA = $6$ units. If the adjacent side AB =$4$ units, draw the graph of rectangle OABC on graph paper and hence find the vertices A, B and C.

Three vertices of a rectangle $\mathrm{ABCD}$ are $\mathrm{A}(3,5), \mathrm{B}(3,1)$ and $C(9,1)$. Use graphical method to find the fourth vertex $\mathrm{D}$ . Also, find the area of the rectangle.

Find the values of $x$ and $y$ if $(3x+1, 2y+5)=(7,7)$

Find the values of $x$ and $y$ if

$(x+2,y+1)=(5,7)$

Plot the points $\mathrm{A}(2,5), \mathrm{B}(3,7)$ and $\mathrm{C}(0,1)$ on the graph paper and check whether they are collinear or not.

Three vertices of a parallelogram are $A(-3,1), B(7,1)$ and $C(3,-5)$ and . Plot these points on the graph paper and hence find the fourth vertex D. What is the area of $\parallel$gm  ABCD?

Given $3x+2y+4=0$

Find its slope and the y-intercept.

Given $3x+2y+4=0$

Express the equation in the form of $y=mx+c$

Three vertices of a square ABCD are $A(5,6), B(0,6)$ and $C(0,1)$ .Plot these points on a graph paper and
find the fouth vertex D. Also, find the area of the square.

By plotting the following points on the same graph paper, check whether the points are collinear or not: $P(1,2), Q(2,-1)$ and $R(-1,4)$

By plotting the following points on the same graph paper, check whether the points are collinear or not: $\mathrm{A}(4,6), \mathrm{B}(2,2)$ and $\mathrm{C}(1,0)$

$\mathrm{A}(2,6), \mathrm{B}(12,6)$and $\mathrm{C}(8,-8)$ are the vertices of a parallelogram ABCD. Graphically, find the coordinates of D.

The coordinates of three vertices of a rectangle ABCD are given. Graphically, find the fourth vertex: $B(8,2),C(-2,2)$ and $D(-2,-4)$

The coordinates of the three vertices of a rectangle ABCD are given. Graphically, find the fourth vertex: $A(4,2), B(-2,2)$ and $C\left(4,-2\right)$.

In each of the following, the coordinates of the three vertices of a rectangle ABCD are given. Graphically, find the fourth vertex: $\mathrm{A}(4,2), \mathrm{B}(10,2), \mathrm{C}(10,6)$