QA Review # 1QA Review # 1

a) You must be 21 years old to watch a R movie. Jack is 17 years old. Therefore, Jack can’t watch the movie.

b) Jacky is taller than Joe. Joe is taller than Amie. Therefore, Jacky is taller than Amie.

c) Movie tickets are on sale for groups of 7 or more people. There are 6 people in Juan’s family. They can’t buy tickets on sale.

d) Maria’s palm tree was 10 inches tall last year. This year, it grew to be 11 inches tall. Next year, Maria’s palm tree will be 12 inches tall.

Which of the following is an example of inductive reasoning?

Proving Vertical Angles Congruent /Properties of Parallel

LinesGeometry 2.0 – Students write geometric proofs.Geometry 4.0 – Students prove basic theorems involving congruence.Geometry 4.0 Students prove and use theorems involving the properties of parallel lines cut by a transversal.

Use the given that a || b and the diagram to write a two-column proof that <1 and < 4 are supplementary.Statements Reasons

1. Given1. a b

2. Corresponding Angles Postulate2. m 1 = m 3

3. Angle Addition Postulate3. m 3 + m 4 = 180

4. Substitution4. m 1 + m 4 = 180

5. Definition of supplementary angles5. 1 and 4 are

supplementary

In the diagram above, l || m. Find the values of a, b, and c.

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