Topics
6. Quadrilaterals & Other Polygons
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United States of AmericaFL
Grade 912

6.04 Trapezoids

Lesson
Practice
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 $m\angle B$m∠B.

b

Find the value of $m\angle C$m∠C.

c

Find the value of $m\angle D$m∠D.

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=6x−9.

Determine the value of $x$x.

Medium
1min
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Outcomes

MA.912.GR.1.5

Prove relationships and theorems about trapezoids. Solve mathematical and real-world problems involving postulates, relationships and theorems of trapezoids.

MA.912.LT.4.8

Construct proofs, including proofs by contradiction.

MA.912.LT.4.10

Judge the validity of arguments and give counterexamples to disprove statements.

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