Plane geometry

Let $ABC$ be a triangle (see the picture). Find the standard form equations of the lines $t$, $v$ and $o$, where $t$ contains the median to $AB$, $v$ contains the altitude to $AB$ and $o$ is the line of symmetry of $AB$. Choose the option with all equations correct.

Find the straight lines passing through the coordinate origin at the distance of $2$ from the point $M=[0;4]$. Express their equations in the slope-intercept form.

Let $A=[0;1]$, $B=[4;-2]$ and $S=[4;3]$ be the points (see the picture). Find the coordinates of the points $C$ and $D$ so that $ABCD$ is a parallelogram with the centre $S$.

Let $p$ be the line with the equation $x-2y-1=0$ and let $S$ be the point with coordinates $[2;2]$ (see the picture). Find the general form equation of the line $p^{\prime }$ which is the image of the line $p$ in the point symmetry with the centre in $S$.