Trace this line segment two times. On one copy construct a perpendicular bisector of the segment. On the other copy divide the segment into three equal segments.

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Answer 1

Textbook Question

Chapter 57, Problem 1A

Trace this line segment two times. On one copy construct a perpendicular bisector of the segment. On the other copy divide the segment into three equal segments.
Chapter 57, Problem 1A, Trace this line segment two times. On one copy construct a perpendicular bisector of the segment. On

Expert Solution & Answer

To determine

To construct:

A perpendicular bisector of the line segment.

To divide: The line segment into three equal parts.

Answer to Problem 1A

Area A= 1.72 in2.

Explanation of Solution

Steps of construction:

Taking A as a centre and radius more than half of AB, draw arcs on both the above and below the line segment AB as shown in figure (a).
Similarly, taking B as a centre and radius same as above draw another arc on both the sides of the line segment that intersects the first pair of arcs as shown in the diagram (b).
Join both the arcs by drawing a straight line. Line CD as shown in figure (c), is the perpendicular bisector of line segment AB with O as a centre.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 1

Divide the line segment into three equal parts:

Steps of construction:

From point A, draw a line segment AC forming an angle with AB as shown in fig(a).
On line segment AC with the help of a compass mark three equal arcs D, E and F of any length (b).
Connect point F with point B.
Now taking F as a centre, draw arcs which intersect the line segment AC at G and BF at H.
Repeat the procedure by taking D and E as centre and mark an arc of same radii as shown in figure.
With the help of a compass measure the distance GH and mark the same distance from other two arcs as well which intersects the arcs at point K and M respectively.
Join E with K and D with M and extending the lines past AB. Thus, line segment AB is divided into three equal parts.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 2

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 3

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Answer 2

Textbook Question

Chapter 57, Problem 1A

Trace this line segment two times. On one copy construct a perpendicular bisector of the segment. On the other copy divide the segment into three equal segments.
Chapter 57, Problem 1A, Trace this line segment two times. On one copy construct a perpendicular bisector of the segment. On

Expert Solution & Answer

To determine

To construct:

A perpendicular bisector of the line segment.

To divide: The line segment into three equal parts.

Answer to Problem 1A

Area A= 1.72 in2.

Explanation of Solution

Steps of construction:

Taking A as a centre and radius more than half of AB, draw arcs on both the above and below the line segment AB as shown in figure (a).
Similarly, taking B as a centre and radius same as above draw another arc on both the sides of the line segment that intersects the first pair of arcs as shown in the diagram (b).
Join both the arcs by drawing a straight line. Line CD as shown in figure (c), is the perpendicular bisector of line segment AB with O as a centre.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 1

Divide the line segment into three equal parts:

Steps of construction:

From point A, draw a line segment AC forming an angle with AB as shown in fig(a).
On line segment AC with the help of a compass mark three equal arcs D, E and F of any length (b).
Connect point F with point B.
Now taking F as a centre, draw arcs which intersect the line segment AC at G and BF at H.
Repeat the procedure by taking D and E as centre and mark an arc of same radii as shown in figure.
With the help of a compass measure the distance GH and mark the same distance from other two arcs as well which intersects the arcs at point K and M respectively.
Join E with K and D with M and extending the lines past AB. Thus, line segment AB is divided into three equal parts.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 2

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 3

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Answer 3

Textbook Question

Chapter 57, Problem 1A

Trace this line segment two times. On one copy construct a perpendicular bisector of the segment. On the other copy divide the segment into three equal segments.
Chapter 57, Problem 1A, Trace this line segment two times. On one copy construct a perpendicular bisector of the segment. On

Expert Solution & Answer

To determine

To construct:

A perpendicular bisector of the line segment.

To divide: The line segment into three equal parts.

Answer to Problem 1A

Area A= 1.72 in2.

Explanation of Solution

Steps of construction:

Taking A as a centre and radius more than half of AB, draw arcs on both the above and below the line segment AB as shown in figure (a).
Similarly, taking B as a centre and radius same as above draw another arc on both the sides of the line segment that intersects the first pair of arcs as shown in the diagram (b).
Join both the arcs by drawing a straight line. Line CD as shown in figure (c), is the perpendicular bisector of line segment AB with O as a centre.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 1

Divide the line segment into three equal parts:

Steps of construction:

From point A, draw a line segment AC forming an angle with AB as shown in fig(a).
On line segment AC with the help of a compass mark three equal arcs D, E and F of any length (b).
Connect point F with point B.
Now taking F as a centre, draw arcs which intersect the line segment AC at G and BF at H.
Repeat the procedure by taking D and E as centre and mark an arc of same radii as shown in figure.
With the help of a compass measure the distance GH and mark the same distance from other two arcs as well which intersects the arcs at point K and M respectively.
Join E with K and D with M and extending the lines past AB. Thus, line segment AB is divided into three equal parts.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 2

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 3

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Answer 4

Textbook Question

Chapter 57, Problem 1A

Trace this line segment two times. On one copy construct a perpendicular bisector of the segment. On the other copy divide the segment into three equal segments.
Chapter 57, Problem 1A, Trace this line segment two times. On one copy construct a perpendicular bisector of the segment. On

Expert Solution & Answer

To determine

To construct:

A perpendicular bisector of the line segment.

To divide: The line segment into three equal parts.

Answer to Problem 1A

Area A= 1.72 in2.

Explanation of Solution

Steps of construction:

Taking A as a centre and radius more than half of AB, draw arcs on both the above and below the line segment AB as shown in figure (a).
Similarly, taking B as a centre and radius same as above draw another arc on both the sides of the line segment that intersects the first pair of arcs as shown in the diagram (b).
Join both the arcs by drawing a straight line. Line CD as shown in figure (c), is the perpendicular bisector of line segment AB with O as a centre.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 1

Divide the line segment into three equal parts:

Steps of construction:

From point A, draw a line segment AC forming an angle with AB as shown in fig(a).
On line segment AC with the help of a compass mark three equal arcs D, E and F of any length (b).
Connect point F with point B.
Now taking F as a centre, draw arcs which intersect the line segment AC at G and BF at H.
Repeat the procedure by taking D and E as centre and mark an arc of same radii as shown in figure.
With the help of a compass measure the distance GH and mark the same distance from other two arcs as well which intersects the arcs at point K and M respectively.
Join E with K and D with M and extending the lines past AB. Thus, line segment AB is divided into three equal parts.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 2

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 3

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

To construct:

A perpendicular bisector of the line segment.

To divide: The line segment into three equal parts.

Answer to Problem 1A

Area A= 1.72 in2.

Explanation of Solution

Steps of construction:

Taking A as a centre and radius more than half of AB, draw arcs on both the above and below the line segment AB as shown in figure (a).
Similarly, taking B as a centre and radius same as above draw another arc on both the sides of the line segment that intersects the first pair of arcs as shown in the diagram (b).
Join both the arcs by drawing a straight line. Line CD as shown in figure (c), is the perpendicular bisector of line segment AB with O as a centre.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 1

Divide the line segment into three equal parts:

Steps of construction:

From point A, draw a line segment AC forming an angle with AB as shown in fig(a).
On line segment AC with the help of a compass mark three equal arcs D, E and F of any length (b).
Connect point F with point B.
Now taking F as a centre, draw arcs which intersect the line segment AC at G and BF at H.
Repeat the procedure by taking D and E as centre and mark an arc of same radii as shown in figure.
With the help of a compass measure the distance GH and mark the same distance from other two arcs as well which intersects the arcs at point K and M respectively.
Join E with K and D with M and extending the lines past AB. Thus, line segment AB is divided into three equal parts.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 2

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 3

Answer 8

Expert Solution & Answer

To determine

To construct:

A perpendicular bisector of the line segment.

To divide: The line segment into three equal parts.

Answer to Problem 1A

Area A= 1.72 in2.

Explanation of Solution

Steps of construction:

Taking A as a centre and radius more than half of AB, draw arcs on both the above and below the line segment AB as shown in figure (a).
Similarly, taking B as a centre and radius same as above draw another arc on both the sides of the line segment that intersects the first pair of arcs as shown in the diagram (b).
Join both the arcs by drawing a straight line. Line CD as shown in figure (c), is the perpendicular bisector of line segment AB with O as a centre.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 1

Divide the line segment into three equal parts:

Steps of construction:

From point A, draw a line segment AC forming an angle with AB as shown in fig(a).
On line segment AC with the help of a compass mark three equal arcs D, E and F of any length (b).
Connect point F with point B.
Now taking F as a centre, draw arcs which intersect the line segment AC at G and BF at H.
Repeat the procedure by taking D and E as centre and mark an arc of same radii as shown in figure.
With the help of a compass measure the distance GH and mark the same distance from other two arcs as well which intersects the arcs at point K and M respectively.
Join E with K and D with M and extending the lines past AB. Thus, line segment AB is divided into three equal parts.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 2

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 3

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To construct:

A perpendicular bisector of the line segment.

To divide: The line segment into three equal parts.

Answer 12

Answer to Problem 1A

Area A= 1.72 in2.

Answer 13

Explanation of Solution

Steps of construction:

Taking A as a centre and radius more than half of AB, draw arcs on both the above and below the line segment AB as shown in figure (a).
Similarly, taking B as a centre and radius same as above draw another arc on both the sides of the line segment that intersects the first pair of arcs as shown in the diagram (b).
Join both the arcs by drawing a straight line. Line CD as shown in figure (c), is the perpendicular bisector of line segment AB with O as a centre.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 1

Divide the line segment into three equal parts:

Steps of construction:

From point A, draw a line segment AC forming an angle with AB as shown in fig(a).
On line segment AC with the help of a compass mark three equal arcs D, E and F of any length (b).
Connect point F with point B.
Now taking F as a centre, draw arcs which intersect the line segment AC at G and BF at H.
Repeat the procedure by taking D and E as centre and mark an arc of same radii as shown in figure.
With the help of a compass measure the distance GH and mark the same distance from other two arcs as well which intersects the arcs at point K and M respectively.
Join E with K and D with M and extending the lines past AB. Thus, line segment AB is divided into three equal parts.

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 2

Mathematics for Machine Technology, Chapter 57, Problem 1A , additional homework tip 3