Topics
9. Polygons & Quadrilaterals
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High School

9.04 Properties of trapezoids

Lesson
Practice

Interactive practice questions

Consider the figure shown, given that $ABCD$ABCD is a trapezoid.

A trapezoid is shown with the top and bottom sides as the bases. The vertices of the trapezoid are labeled $A$A, $B$B, $C$C, and $D$D, with $D$D being at the top right vertex, $A$A at top left vertex, $C$C at the bottom right vertex and $B$B at the bottom left. The angle $C$C extends to point $E$E. The angle at vertex $A$A is labeled as 120 degrees, and the angle at vertex $C$C is labeled as 49 degrees. The other angles and side lengths are not labeled.
a

Which sides are parallel?

$DC$DC and $EB$EB

A

none

B

$AB$AB and $DC$DC

C

$AD$AD and $BC$BC

D
b

Find $m\angle ABC$m∠ABC.

c

Find  $m\angle ADC$m∠ADC.

Easy
2min

Find the value of all variables in the figure.

Easy
1min

Consider the following trapezoid.

Easy
2min

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

Easy
< 1min
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Outcomes

G.SRT.5

Use congruence and similarity criteria for triangles to solve problems and to justify relationships in geometric figures that can be decomposed into triangles.

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