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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

2. Similar Polygons

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Exercise 65 Page 559

The first step of an indirect proof is to assume the opposite, or negation, of the given statement.

Example Solution: The angle bisector of the vertex angle of an isosceles triangle is not an altitude of the triangle.

Practice makes perfect

The first step of an indirect proof is to assume the opposite, or negation, of the given statement. Let's think about the given statement.

Statement
The angle bisector of the vertex angle of an isosceles triangle is also an altitude of the triangle.

To write a negation of the given statement, we need to consider how to say the opposite. Typically this can be done using the word not.

Negation of the Statement
The angle bisector of the vertex angle of an isosceles triangle is not an altitude of the triangle.

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Exercises p.554-559