Will you need all the given statements to write the proof?
See solution.
Practice makes perfect
We want to write a paragraph proof to justify the statement: The pith of the roof in Den's design is not steep enough. To do it, we will use the following statements.
Waterproof roofs should have a minimum slope of 14 inch per foot.
Watershed roofs should have a minimum slope of 4 inches per foot.
Den is designing a house with a watershed roof.
The pitch in Den's design is 2 inches per foot.
One of the statements tells us that Den is designing a watershed roof. Therefore, we will not need the statement about the minimum slope of waterproof roofs. The pitch in Den's design is 2 inches, and watershed roofs should have a minimum slope of 4 inches. It proves that Den's design is not steep enough.
Final Proof
Den is designing a house with a watershed roof. The pitch in Den's design is 2 inches per foot. Watershed roofs should have a minimum slope of 4 inches per foot. Therefore, the pitch of the roof in Den's design is not steep enough.
