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McGraw Hill Glencoe Geometry, 2012

MH

McGraw Hill Glencoe Geometry, 2012 View details

3. Conditional Statements

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Exercise 37 Page 112

Is there any acute angle other than $4 5^{\circ}$ ?

Truth value: False
Counterexample: $5 0^{\circ}$ is also acute.

Practice makes perfect

We will determine the truth value of the given conditional statement.

If an angle is acute, then it has a measure of 45 .

An acute angle is an angle which has a measure less than

9 0^{\circ} .

Thus, we can find a counterexample.

Counterexample : 5 0^{\circ} is also acute .

Thus, the conclusion is false. Since we can find a counterexample, the conditional statement is also false.

Subchapter links

Check Your Understanding p.111

Practice and Problem Solving p.111-114

H.O.T. Problems p.114

Standardized Test Practice p.115

Spiral Review p.115

Skills Review p.115