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11.04 Classify polygons in the coordinate plane

Adaptive
Worksheet

Interactive practice questions

The four points $A$A$\left(-8,-4\right)$(8,4), $B$B$\left(-5,0\right)$(5,0), $C$C$\left(0,-2\right)$(0,2) and $D$D$\left(-3,-6\right)$(3,6) are the vertices of a quadrilateral.

a

Plot the quadrilateral.

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b

Find the slope of $\overline{AB}$AB.

c

Find the slope of $\overline{BC}$BC.

d

Find the slope of $\overline{CD}$CD.

e

Find the slope of $\overline{DA}$DA.

f

Which segments are parallel?

$\overline{DC}$DC and $\overline{AB}$AB

A

$\overline{AD}$AD and $\overline{AB}$AB

B

$\overline{DC}$DC and $\overline{BC}$BC

C

$\overline{BC}$BC and $\overline{AD}$AD

D
g

What type of quadrilateral is $ABCD$ABCD?  Choose the most precise answer.

A square

A

A rhombus

B

A rectangle

C

A parallelogram

D
Easy
4min

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.

Easy
5min

The points given represent three vertices of a parallelogram. What is the fourth vertex if it is known to be in the 2nd quadrant?

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
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Outcomes

G.PC.1

The student will prove and justify theorems and properties of quadrilaterals, and verify and use properties of quadrilaterals to solve problems, including the relationships between the sides, angles, and diagonals.

G.PC.1a

Solve problems, using the properties specific to parallelograms, rectangles, rhombi, squares, isosceles trapezoids, and trapezoids.

G.PC.1b

Prove and justify that quadrilaterals have specific properties, using coordinate and algebraic methods, such as the slope formula, the distance formula, and the midpoint formula.

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