Points A(5,3), B(-2,3) and D(5,-4) are three vertices of a square A B C D . Plot these points on a g

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3. Coordinate Geometry

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Points $A(5,3), B(-2,3)$ and $D(5,-4)$ are three vertices of a square $A B C D .$ Plot these points on a graph paper and hence find the coordinates of the vertex $C.$

Option A

Option B

Option C

Option D

Solution

Plot the points $A(5,3), B(-2,3)$ and $D(5,-4) .$ Join $A B$ and $A D .$ As $A B C D$ is a square, so all its sides are equal and each angle is of $90^{\circ}$ measure. Therefore, the abscissa of the vertex $C$ will be $-2$ and ordinate $-4 .$ Hence, the coordinates of the vertex $C$ are $(-2,-4).$

Standard 9

Mathematics

State the coordinates of the points in the following figure

medium

Write the coordinates of each of the points $P , Q , R , S , T$ and $O$ from the $Fig.$

easy

Abscissa of all the points on the $x$ -axis is

easy

The interior of $\angle X ^{\prime} OY ^{\prime}$ is known as the ………… quadrant.

easy

The line joining $P (3,2)$ and $Q (3,-5)$ intersects the $\ldots \ldots \ldots$ axis.

easy

Points $A(5,3), B(-2,3)$ and $D(5,-4)$ are three vertices of a square $A B C D .$ Plot these points on a graph paper and hence find the coordinates of the vertex $C.$

Solution

Similar Questions

State the coordinates of the points in the following figure

Write the coordinates of each of the points $P , Q , R , S , T$ and $O$ from the $Fig.$

Abscissa of all the points on the $x$ -axis is

The interior of $\angle X ^{\prime} OY ^{\prime}$ is known as the ………… quadrant.

The line joining $P (3,2)$ and $Q (3,-5)$ intersects the $\ldots \ldots \ldots$ axis.

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