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Chapter 10: Q26. (page 384)

Draw a diagram roughly like the one shown. Without laying your straightedge across any part of the lake, construct more of RS鈫�.

Short Answer

Expert verified

The figure is,

Step by step solution

01

Step 1. Given information.

The figure here given is,

02

Step 2. Follow the ways.

Draw a line RS鈫�, and lake as given.

Construct a line parallel to RS鈫�.

Take a point Pand construct 鈭�1, so that 鈭�1and 鈭�PRSare congruent corresponding angles.

Now measure the distance between PQ炉 and RS炉, measure the same distance from line PQ炉 and make points Tand U.

Draw the line TU炉 without laying the straightedge across any part of the lake, this is the extension of line RS炉.

03

Step 3. Construct the figure.

Therefore, the required figure drawn above.

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Most popular questions from this chapter

a.Draw any acute triangle. Bisect each of the three angles.

role="math" localid="1648851512702" b.Draw any obtuse triangle. Bisect each of the three angles

c.What do you notice about the points of intersection of the bisectors in parts a and b?

a

Is there some kind of triangle such that the perpendicular bisector of each side is also an angle bisector, a median, and an altitude?

Draw three noncollinear points R,S,and T. Construct a triangle whose sides have R,S,and T as midpoints.

Construct a six-pointed star using the following procedure.

1. Draw a ray, AB鈫�. On AB鈫� mark off, in order, points C and D such that AB=BC=CD.

2. Construct equilateral 螖ADG.

3. On AG炉 mark off points Eand F so that both AEand EF equal AB.

4. On GD炉 mark off points Hand I so that both GHand HI equal AB.

5.To complete the star, draw the three lines FH鈫�,EB鈫�,and CI鈫�.

1

Use a ruler and a protractor to draw a regular pentagon. Draw a regular pentagon as in before exercise. Construct the perpendicular bisectors.
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