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Chapter 10: Q3. (page 383)

Draw a figure roughly like one shown, but larger. Do the indicated construction clearly enough so that your method can be understood easily.

The perpendicular bisector of JK¯.

Short Answer

Expert verified

A line segment JK¯ is given.

Step by step solution

01

Step 1. Given information.   

A line segment JK¯ is given.

02

Step 2. Concept used.

Draw by using compass.

03

Step 3. Construction.

Step 1: Draw a line segment JK¯:

Step 2: With Jas a center and radius equal to more than half of the length of JK¯, draw an arc on both sides ofJK¯:

Step 3: Now with Kas a center and the same radius as in step 2, draw the arcs on both sides of JK¯such that these arcs intersects the previous arcs atP  and  Q:

Step 4: JoinP  and  Q:

Therefore, PQ¯ is perpendicular bisector ofJK¯.

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Most popular questions from this chapter

A quadrilateral with both pairs of opposite angles congruent is a ______ .

Repeat Exercise 7, but use the SAS method.

Suppose you are given the three lengths shown and are asked to construct a triangle whose sides have lengths r,s,and t. Can you do so ? State the theorem from Chapter 6 that applies.

Construct an angle with the indicated measure.

135°.

Draw, if possible, a triangle in which the perpendicular bisectors of the sides intersect in a point with the location described.

  1. A point inside the triangle
  2. A point outside the triangle
  3. A point on the triangle
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