Home > CCG > Chapter 3 > Lesson 3.1.3 > Problem3-33

3-33.

Rewrite the statements below into conditional (“If …, then …”) form.

Try separating each statement into hypothesis and conclusion.

Rewrite the sentence.

A polygon with $3$ sides Make this one separate statement.

is a triangle Make this the second separate statement.

$\enclose{circle}[mathcolor="green"]{\color{black}{\text{ A polygon with 3 sides}}}\\ \quad \quad \quad {\color{green}{\text{condition}}}$   The statement A polygon with 3 sides is circled as the condition.

$\enclose{circle}[mathcolor="purple"]{\color{black}{\text{ is a triangle}}}\\ \quad {\color{purple}{\text{conclusion}}}$ The statement is a triangle is the conclusion.

$\text{ If a polygon has 3 sides, then it is a triangle.}\\ \quad \quad {\color{green}{\text{hypothesis}}} \quad \quad \quad \quad \quad \quad \quad{\color{purple}{\text{conclusion}}}$ The hypothesis is If a polygon has 3 sides. The conclusion is then it is a triangle.

1. Lines with the same slope are parallel.

If the lines have the same slope, then they are parallel.

2. A vertical line has undefined slope.

3. The lines with slopes $\frac { 2 } { 3 }$ and $-\frac{3}{2}$ are perpendicular.