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Chapter 5: Q4 (page 192)

Each diagram shows a trapezoid and its median. Find the value of x.

Short Answer

Expert verified

The value of x is 5.

Step by step solution

01

Step 1. Label the diagram.

02

Step 2. Apply the property of trapezoid.

The length of the median of the trapezoid is equal to the average length of the two bases.

From the given figure it can be observed that FC is the median and AB and ED are the two bases of the trapezoid. Therefore, the length of the median is given by

FC=12AB+ED

03

Step 3. Description of step.

Substitute x for AB, 21 for ED, and 13 for FC into the equation obtained in step 2 to find the value of x.

13=12x+2126=x+21x=26鈭�21=5

Therefore, the value of x is 5.

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Most popular questions from this chapter

The coordinates of three vertices of a rhombus are given, not necessarily in order. Plot the points and find the coordinates of the fourth vertex. Measure the sides to check the answer.

O0,0,L5,0,D4,3,V?炉,?炉.

Given: AD炉鈮�BC炉; AD炉鈭�BC炉.

Prove: EF炉鈮�FG炉.

Quadrilateral ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement.

AD炉鈮�BC炉

Quadrilateral ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement.

AD炉鈭�BC炉

AE鈫�,BF鈫�,CG鈫�and DH鈫�are parallel, with EF=FG=GH. Complete.

If AB=15, BC=2x鈭�yand CD=x+y, then x= ? and y= ? .
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