Complete each statement. a) Given that the length and the width of a rectangle are measured in inches, its area is measured in ___. b) If two closed plane figures are congruent, then their areas are _.

Question

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Answer 1

Textbook Question

Chapter 8.CT, Problem 1CT

Complete each statement.

a) Given that the length and the width of a rectangle are measured in inches, its area is measured in _____________.

b) If two closed plane figures are congruent, then their areas are ___________.

Expert Solution

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Expert Solution

To determine

b.

To complete:

The given sentence.

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

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Answer 2

Textbook Question

Chapter 8.CT, Problem 1CT

Complete each statement.

a) Given that the length and the width of a rectangle are measured in inches, its area is measured in _____________.

b) If two closed plane figures are congruent, then their areas are ___________.

Expert Solution

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Expert Solution

To determine

b.

To complete:

The given sentence.

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

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Answer 3

Textbook Question

Chapter 8.CT, Problem 1CT

Complete each statement.

a) Given that the length and the width of a rectangle are measured in inches, its area is measured in _____________.

b) If two closed plane figures are congruent, then their areas are ___________.

Expert Solution

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Expert Solution

To determine

b.

To complete:

The given sentence.

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

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Answer 4

Textbook Question

Chapter 8.CT, Problem 1CT

Complete each statement.

a) Given that the length and the width of a rectangle are measured in inches, its area is measured in _____________.

b) If two closed plane figures are congruent, then their areas are ___________.

Expert Solution

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Expert Solution

To determine

b.

To complete:

The given sentence.

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Expert Solution

To determine

b.

To complete:

The given sentence.

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

Answer 8

Expert Solution

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

a.

To complete:

The given sentence with the unit of the area of a rectangle.

Answer 13

Answer to Problem 1CT

Solution:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Answer 14

Explanation of Solution

Note:

When a region such as R in a plane M is measured, we say this measure as ‘the area of the plane region’. The unit used to measure the area is known as a square unit.

Given:

Given that the length and the width of a rectangle are measured in inches.

As per the Note, the unit of the area of the rectangle is measured in square inches or in².

Conclusion:

Given that the length and the width of a rectangle are measured in inches, its area is measured in in².

Answer 15

Expert Solution

To determine

b.

To complete:

The given sentence.

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

b.

To complete:

The given sentence.

Answer 20

Answer to Problem 1CT

Solution:

If two closed plane figures are congruent, then their areas are equal.

Answer 21

Explanation of Solution

Postulate:

If two closed plane figures are congruent, then their areas are equal.

Given:

Two closed plane figures are congruent.

As per the postulate, if two closed plane figures are congruent then their areas are equal.

Conclusion:

If two closed plane figures are congruent, then their areas are equal.

Answer 22

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Complete each statement. a) Given that the length and the width of a rectangle are measured in inches, its area is measured in ___. b) If two closed plane figures are congruent, then their areas are _.

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Answer to Problem 1CT

Explanation of Solution

Answer to Problem 1CT

Explanation of Solution

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