11.04 Classify polygons in the coordinate plane
Interactive practice questions
The four points $A$A$\left(-2,-7\right)$(−2,−7), $B$B$\left(1,-3\right)$(1,−3), $C$C$\left(6,-5\right)$(6,−5) and $D$D$\left(3,-9\right)$(3,−9) are the vertices of a quadrilateral.
Sketch the quadrilateral.
Find the slope of $\overline{AB}$AB.
Now find the slopes of the other three line segments.
| Segment | Slope |
|---|---|
| $\overline{BC}$BC | $\editable{}$ |
| $\overline{CD}$CD | $\editable{}$ |
| $\overline{DA}$DA | $\editable{}$ |
Which segments are parallel?
$\overline{AB}$AB and $\overline{AD}$AD
$\overline{AB}$AB and $\overline{DC}$DC
$\overline{DC}$DC and $\overline{AD}$AD
$\overline{BC}$BC and $\overline{AD}$AD
Therefore which type of quadrilateral is $ABCD$ABCD? Choose the most precise classification.
A rectangle
A square
A rhombus
A parallelogram
The four points $A$A$\left(3,4\right)$(3,4), $B$B$\left(6,2\right)$(6,2), $C$C$\left(5,-3\right)$(5,−3) , and $D$D$\left(-4,3\right)$(−4,3) are the vertices of a quadrilateral.
The points given represent three vertices of a parallelogram. What is the fourth vertex if it is known to be in the 2nd quadrant?
The points given represent three vertices of a rhombus. What is the fourth vertex if the missing point lies in the 3rd quadrant?