Question

geometry unit 2 lesson 4 homework
name__ date period__
for questions 1 - 3, use the quote shown.
\if you build it, they will come\ - kevin costner from the film, field of dreams

1. write the converse of this statement.
2. write the inverse of this statement.
3. write the contrapositive of this statement.

for questions 4 - 6, use the quote shown.
\when youre curious, you find lots of interesting things to do\ - walt disney

1. write the converse of this statement.
2. write the inverse of this statement.
3. write the contrapositive of this statement.

Explanation:

1. For a conditional statement "If p, then q", the converse is "If q, then p". For "If you build it, they will come", p = "you build it" and q = "they will come", so the converse is "If they come, then you built it".
2. The inverse of "If p, then q" is "If not p, then not q". So the inverse of "If you build it, they will come" is "If you do not build it, they will not come".
3. The contra - positive of "If p, then q" is "If not q, then not p". So the contra - positive of "If you build it, they will come" is "If they do not come, then you did not build it".
4. For "When you're curious, you find lots of interesting things to do" (which can be written as "If you're curious, then you find lots of interesting things to do"), the converse is "If you find lots of interesting things to do, then you're curious".
5. The inverse is "If you're not curious, then you do not find lots of interesting things to do".
6. The contra - positive is "If you do not find lots of interesting things to do, then you're not curious".

Answer:

1. If they come, then you built it.
2. If you do not build it, they will not come.
3. If they do not come, then you did not build it.
4. If you find lots of interesting things to do, then you're curious.
5. If you're not curious, then you do not find lots of interesting things to do.
6. If you do not find lots of interesting things to do, then you're not curious.