9. Polygons & Quadrilaterals
9.06 Coordinate methods with quadrilaterals
Interactive practice questions
The points given represent three vertices of a parallelogram. What is the fourth vertex if it is known to be in the 2nd quadrant?
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Coordinates $=$=$\left(\editable{},\editable{}\right)$(,)
Easy
1min
The points given represent three vertices of a rhombus. What is the fourth vertex if the missing point lies in the 3rd quadrant?
Easy
1min
$A$A$\left(-3,-4\right)$(−3,−4), $B$B$\left(-5,2\right)$(−5,2) and $C$C$\left(-11,0\right)$(−11,0) form three vertices of square $ABCD$ABCD, where $T$T is the midpoint of the diagonal $AC$AC, and vertex $D$D is represented by the coordinates $D$D$\left(-9,-6\right)$(−9,−6).
Easy
5min
Consider the parallelogram $ABCD$ABCD that has been graphed on the number plane.
Medium
4min
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Outcomes
GEO-G.GPE.4
On the coordinate plane, algebraically prove geometric theorems and properties.