  ### Home > INT2 > Chapter 1 > Lesson 1.3.2 > Problem1-91

1-91.

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

Try separating each statement into hypothesis and conclusion.

Rewrite the sentence.

$\text{A Polygon with}\ 3\ \text{sides}$ Make this one separate statement.          $\text{is a triangle.}$ 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 conlcusion is then it is a triangle.

1. Lines with the same slope are parallel.

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

1. A vertical line has undefined slope.

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