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10.04 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.CO.D.13

Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

G.GPE.B.4

Use coordinates to prove simple geometric theorems algebraically.

G.GPE.B.5

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.

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