Question

Where are the points $A$, $B$, $C$ and $D$ located, respectively?

• A. $(0,0),(4,0),(-4,-3)$ and $(5,-3)$
• B. $(0,0),(-4,0),(-4,-3)$ and $(5,-3)$
• C. $(0,0),(-4,0),(-3,-4)$ and $(5,-3)$
• D. $(0,0),(-4,0),(-4,-3)$ and $(-3,5)$

Answer 1

The correct option is B $(0,0),(-4,0),(-4,-3)$ and $(5,-3)$


As per above figure,

$\bullet$ Point $A$ is the point of intersection of $x$ and $y$-axes.
$\therefore$ $A$ is located at $(0,0)$.

$\bullet$ To reach the point $B$, one needs to move $4$ units towards left of $x$-axis only.
$\therefore$ $B$ is located at $(-4,0)$.

$\bullet$ To reach the point $C$, one needs to move $4$ units left of $x$-axis and $3$ units down the $y$-axis.
$\therefore$ $C$ is located at $(-4,-3)$

$\bullet$ To reach the point $D$, one needs to move $5$ units right of $x$-axis and $3$ units down the $y$-axis.
$\therefore$ $D$ is located at $(5,-3)$

Hence, $A,B,C$ and $D$ are located at $(0,0),(-4,0),(-4,-3)$ and $(5,-3)$, respectively; hence option (b.) is the correct one.