We've looked at how to plot straight lines on the number plane. Now we are going to look at how to plot a series of coordinates to create geometric shapes.
Here are some helpful formulae and properties that will help us solve these kinds of problems:
Different shapes have different properties.
These can be used to help plot and identify features of shapes on a number plane, so make sure you're familiar with the properties of different triangles and quadrilaterals.
$A$A$\left(-2,-1\right)$(−2,−1), $B$B$\left(0,0\right)$(0,0) and $C$C$\left(1,k\right)$(1,k) are the vertices of a right-angled triangle with right angle at $B$B.
Find the value of $k$k.
Find the area of the triangle.
Given Line P: $y=-6x-4$y=−6x−4, Line Q: $y=\frac{x}{6}+6$y=x6+6, Line R: $y=-6x-1$y=−6x−1 and Line S: $y=\frac{x}{6}+1$y=x6+1.
Complete the following:
$m$mP = $\editable{}$
$m$mQ = $\editable{}$
$m$mP x $m$mQ = $\editable{}$
Complete the following:
$m$mQ = $\editable{}$
$m$mR = $\editable{}$
$m$mQ x $m$mR = $\editable{}$
Complete the following:
$m$mR = $\editable{}$
$m$mS = $\editable{}$
$m$mR x $m$mS = $\editable{}$
Complete the following:
$m$mS = $\editable{}$
$m$mP = $\editable{}$
$m$mS x $m$mP = $\editable{}$
What type of quadrilateral is formed by lines: P, Q, R, and S?
Trapezoid
Rectangle
Rhombus
Parallelogram