9.04 Trapezoids

Lesson

Practice

Adaptive

Worksheet

Interactive practice questions

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

A trapezoid $JKLM$JKLM is illustrated with arrowhead marked on its bases $KL$KL and $JM$JM indicating that they are parallel to each other. The legs $KJ$KJ and $LM$LM of the trapezoid have tick marks signifying that they are congruent. The trapezoid has two diagonals drawn from two opposing vertices.

Find the value of $JL$JL.

Easy

< 1min

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.

Easy

1min

Consider the following trapezoid.

Medium

2min

Consider the following trapezoid.

Medium

2min

Outcomes

G.PC.1

The student will prove and justify theorems and properties of quadrilaterals, and verify and use properties of quadrilaterals to solve problems, including the relationships between the sides, angles, and diagonals.

G.PC.1a

Solve problems, using the properties specific to parallelograms, rectangles, rhombi, squares, isosceles trapezoids, and trapezoids.

G.PC.1b

Prove and justify that quadrilaterals have specific properties, using coordinate and algebraic methods, such as the slope formula, the distance formula, and the midpoint formula.

G.PC.1c

Prove and justify theorems and properties of quadrilaterals using deductive reasoning.

G.PC.1d

Use congruent segment, congruent angle, angle bisector, perpendicular line, and/or parallel line constructions to verify properties of quadrilaterals.