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Chapter 4: Q4. (page 165)

Complete each sentence with the most appropriate word, phase or value.

If two intersecting lines form congruent adjacent angles, then the lines are ________.

Short Answer

Expert verified

The answer is Perpendicular.

Step by step solution

01

- Define perpendicular lines. 

When two lines meet each other at right angles, they are called perpendicular lines.

02

- State the explanation.

When two lines are intersecting and form congruent adjacent angles, then sum of the adjacent angles must be 180 degrees, as shown below:

In the diagram, it can be seen that the lines are perpendicular.

So, if two intersecting lines form congruent adjacent angles, then the lines are perpendicular.

Hence, the blank is filled by the term 鈥淧erpendicular鈥�.

03

- State the conclusion.

Therefore,鈥淚f two intersecting lines form congruent adjacent angles, then the lines areperpendicular鈥�.

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