Rewrite the conditional statement in if-then form. Then write its converse and tell whether the converse is true or false.
True.
Given:
In a right
Concept used:
- A conditional statement has two parts, a hypothesis and a conclusion. When a conditional statement is written in if-then form, the “if” parts contains the hypothesis and the “then” part contains the conclusion.
- The converse of a conditional statement is formed by switching the hypothesis and the conclusion.
Calculation:
Given - In a right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.
If-then form: If the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse then it is a right triangle.
Converse: If it is a right triangle then the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse
True.
Chapter SR28 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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