Three vertices of a rectangle are (3,2),(-4,2) and (-4,5) Plot these points and coordinates of fourt

English

Gujarati

Hindi

3. Coordinate Geometry

medium

Three vertices of a rectangle are $(3,2),(-4,2)$ and $(-4,5)$ Plot these points and find the coordinates of the fourth vertex.

Option A

Option B

Option C

Option D

Solution

Plot the three vertices of the rectangle as $A (3,2), B (-4,2), C (-4,5)$ (see $Fig.$).

We have to find the coordinates of the fourth vertex $D$ so that $A B C D$ is a rectangle.

Since the opposite sides of a rectangle are equal, so the abscissa of $D$ should be equal to abscissa of $A ,$ i.e., $3$ and the ordinate of $D$ should be equal to the ordinate of $C , i . e ., 5$

So, the coordinates of $D$ are $(3,5).$

Standard 9

Mathematics

The point whose ordinate is $4$ and which lies on $y$ -axis is

easy

Plot the following points and write the name of the figure obtained by joining them in order:

$P (-3,2), Q (-7,-3), R (6,-3), S (2,2)$

medium

Write whether the following statements are True or False? Justify your answer.

$(i)$ The coordinates of a point whose ordinate is $-\frac{1}{2}$ and abscissa is $1$ are $-\frac{1}{2}, 1$

$(ii)$ A point lies on $y$ -axis at a distance of $2$ units from the $x$ -axis. Its coordinates are $(2,0)$

easy

State whether each of the following statements is true or false

$(0,7)$ is a point on the $y$ -axis.

easy

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

easy

Three vertices of a rectangle are $(3,2),(-4,2)$ and $(-4,5)$ Plot these points and find the coordinates of the fourth vertex.

Solution

Similar Questions

The point whose ordinate is $4$ and which lies on $y$ -axis is

Plot the following points and write the name of the figure obtained by joining them in order: $P (-3,2), Q (-7,-3), R (6,-3), S (2,2)$

Write whether the following statements are True or False? Justify your answer. $(i)$ The coordinates of a point whose ordinate is $-\frac{1}{2}$ and abscissa is $1$ are $-\frac{1}{2}, 1$ $(ii)$ A point lies on $y$ -axis at a distance of $2$ units from the $x$ -axis. Its coordinates are $(2,0)$

State whether each of the following statements is true or false $(0,7)$ is a point on the $y$ -axis.

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

Start a Free Trial Now

Plot the following points and write the name of the figure obtained by joining them in order:

$P (-3,2), Q (-7,-3), R (6,-3), S (2,2)$

Write whether the following statements are True or False? Justify your answer.

$(i)$ The coordinates of a point whose ordinate is $-\frac{1}{2}$ and abscissa is $1$ are $-\frac{1}{2}, 1$

$(ii)$ A point lies on $y$ -axis at a distance of $2$ units from the $x$ -axis. Its coordinates are $(2,0)$

State whether each of the following statements is true or false

$(0,7)$ is a point on the $y$ -axis.