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6.03 Trapezoids

Adaptive
Worksheet

Interactive practice questions

Consider the following trapezoid.

A trapezoid is depicted with vertices labeled A, B, C, and D in a clockwise direction. The left and right legs of the trapezoid, AB and CD respectively, are marked with single hash marks, indicating they are of equal length. The top base, BC, is shorter than the bottom base, AD. The angle at vertex A is labeled as $54^\circ$54°. Angles at vertices A and D are lower base angles. Angles at vertices C and B are upper base angles.
a

Find the value of $m\angle B$mB.

b

Find the value of $m\angle C$mC.

c

Find the value of $m\angle D$mD.

Easy
2min

Consider the following trapezoid $JKLM$JKLM, where $KM=20$KM=20.

Easy
< 1min

Consider the following trapezoid.

Solve for the value of $x$x.

Medium
2min

Consider the following trapezoid $CDEF$CDEF, in which $EC=21$EC=21 and $FD=6x-9$FD=6x9.

Determine the value of $x$x.

Medium
1min
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Outcomes

G.MP1

Make sense of problems and persevere in solving them.

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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