a Identify the hypothesis and conclusion of the statement.
B
b Identify the hypothesis and conclusion of the statement.
C
c Identify the hypothesis and conclusion of the statement.
A
a If two lines have the same slope, then they are parallel.
B
b If a line is vertical, then it has an undefined slope.
C
c If two lines have slopes of 23 and - 32, then they are perpendicular.
Practice makes perfect
a To rewrite the statement in if-then form, we have to identify the statement's hypothesis and conclusion. In the if-then form, the hypothesis comes after "if" and the conclusion comes after "then."
Hypothesis:&If...
Conclusion:&then...
Let's identify the hypothesis and conclusion of the given statement.
Lines with the same slope are parallel.
Now we can write the statement in if-then form.
If two lines have the same slope,
then they are parallel.
b Like in Part A, we have to identify the hypothesis and conclusion of the given statement.
A vertical line has undefined slope.
Now we can write the statement in if-then form.
If a line is vertical,
then it has an undefined slope.
c Like in Part A and Part B, we have to identify the hypothesis and conclusion of the given statement.
The lines with slopes $ 23$ and $- 32$ are perpendicular.
Now we can write the statement in if-then form.
If two lines have slopes of $ 23$ and $- 32$,
then they are perpendicular.
