Chapter 10.2, Problem 44E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Prove that if two lines (neither horizontal nor vertical) are perpendicular, then the product of their slopes is

*(HINT: See Figure 10.19. You need to show and use the fact that
*

To determine

**To prove:**

If two lines (neither horizontal nor vertical) are perpendicular, then the product of their slopes is

Explanation

Consider the two perpendicular lines

At the point of intersection

From

From

The

Also

In âˆ†

Two angles are same, obviously third angle is also equal.

By AAA similarity,

Corresponding sides of the triangle are proportional.

Thus,

By interchanging the above ratio,

In this, we have to prove that the slopes are equal

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