Chapter 14.4, Problem 2PSA

a.

To determine

To construct the segment whose length is the sum of AB and CD.

Explanation of Solution

Given:

The two segments AB and CD with $AB>CD$ .

Calculation:

The following is the construction-

  

b.

To determine

To construct the segment whose length is the difference of AB and CD.

Explanation of Solution

Given:

The two segments AB and CD with $AB>CD$ .

Calculation:

The following is the construction-

  

c.

To determine

To locate the midpoint of AB.

Explanation of Solution

Given:

The two segments AB and CD with $AB>CD$ .

Calculation:

The following is the construction of mid-point-

  

d.

To determine

To construct the equilateral triangle whose sides are congruent to CD.

Explanation of Solution

Given:

The two segments AB and CD with $AB>CD$ .

Calculation:

The following is the construction of equilateral triangle-

  

e.

To determine

To construct the isosceles triangle making base congruent to CD and leg congruent to AB.

Explanation of Solution

Given:

The two segments AB and CD with $AB>CD$ .

Calculation:

The following is the construction of isosceles triangle-

  

f.

To determine

To construct the square congruent to AB.

Explanation of Solution

Given:

The two segments AB and CD with $AB>CD$ .

Calculation:

The following is the construction of square each side is $5$ unit-

  

g.

To determine

To construct the circle whose diameter is congruent to CD.

Explanation of Solution

Given:

The two segments AB and CD with $AB>CD$ .

Calculation:

The following is the construction of circle of radius $=6$ unit.