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9.05 Classifying polygons in the coordinate plane

Adaptive
Worksheet

Interactive practice questions

Consider the parallelogram $ABCD$ABCD that has been graphed on the coordinate plane.

Loading Graph...

a

Find the slope of sides $AB$AB and $CD$CD.

slope of $AB$AB $=$= $\editable{}$
slope of $CD$CD $=$= $\editable{}$
b

Find the slope of sides $AD$AD and $BC$BC.

slope of $AD$AD $=$= $\editable{}$
slope of $BC$BC $=$= $\editable{}$
c

One property of parallelograms is that opposite sides are parallel. Which of the following is a property of parallel lines?

They intersect.

A

Two parallel lines have equal lengths.

B

Parallelograms are the only shapes in which parallel lines appear.

C

Parallel lines have equal slopes.

D
Easy
1min

$ABCD$ABCD is a rhombus as shown on the coordinate plane.

Easy
2min

The points $A\left(-3,-4\right)$A(3,4), $B\left(5,-4\right)$B(5,4), $C\left(5,4\right)$C(5,4) and $D\left(-3,4\right)$D(3,4) form a quadrilateral in the plane.

Medium
9min

The points $A\left(-6,0\right)$A(6,0), $B\left(2,-4\right)$B(2,4), $C\left(6,2\right)$C(6,2) and $D\left(-2,6\right)$D(2,6) form a quadrilateral in the plane.

Medium
9min
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Outcomes

G.GPE.A.1

Use coordinates to justify geometric relationships algebraically and to solve problems.

G.MP1

Make sense of problems and persevere in solving them.

G.MP2

Reason abstractly and quantitatively.

G.MP3

Construct viable arguments and critique the reasoning of others.

G.MP4

Model with mathematics.

G.MP5

Use appropriate tools strategically.

G.MP6

Attend to precision.

G.MP7

Look for and make use of structure.

G.MP8

Look for and express regularity in repeated reasoning.

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