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Chapter 10: Q6. (page 377)

鈭�1 and 鈭�2 are given. You see two attempts at constructing an angle whose measure is equal to m鈭�1+m鈭�2. Are both constructions satisfactory?

Short Answer

Expert verified

Yes,the construction is satisfactory.

Step by step solution

01

Step 1. Given information.

The figures here given are,

02

Step 2. Consider the first construction.

First 鈭�1 is constructed and then 鈭�2 is constructed.

Then one can say,

m鈭�SAY=m鈭�1+m鈭�2.

The construction is satisfactory.

03

Step 3. Consider the second construction.

Here also first 鈭�1 is constructed and then 鈭�2.

Then one can say,

m鈭�OUI=m鈭�1+m鈭�2.

The construction is satisfactory.

Therefore, we can say that both the constructions are satisfactory.

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Most popular questions from this chapter

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 to l at P.

a. Draw an acute triangle. Construct the perpendicular bisector of each side.

b. Do the perpendicular bisectors intersect in one point?

c. Repeat pairs (a) and (b) using an obtuse triangle.

Construct an angle with the indicated measure.

45掳.

Explain how you could construct a 30掳angle.

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