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Chapter 10: Q7. (page 389)

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

Short Answer

Expert verified

All the interior angles of a regular pentagone of 108掳 and it has five equal sides.

Step by step solution

01

Step 1. Given information:

All the interior angles of a regular pentagone of 108掳 and it has five equal sides.

02

Step 2. Concept used.

Centroid and median relation of a triangle.

03

Step 3. applying the concept.

Draw a pentagon ABCDE with equal sides and interior angles of 108掳

At each side draw a perpendicular bisector inwardly with a compass by taking same lengths and mark bisecting points on both sides.

All the angle bisectors of the regular pentagon meet at a point inside the pentagon.

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Most popular questions from this chapter

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

Draw any AB炉.

a. Construct XY炉 so that XY=AB.

b. Using X and Y as centers, and a radius equal to AB, draw arcs that intersect. Label the point of intersection Z.

c. Draw XZ炉 and YZ炉.

d. What kind of triangle is 螖XYZ?

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

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

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

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