Geometry SOL Review- Logic, Transformations, Constructions

Which is a valid conclusion given the statement below:

If you go to the store, you will spend money. Joe goes to the store.

• Joe goes to a grocery store.

• Joe spends money.

• Kpe spends less than $100.

• Joe and his sister go to the store.

Which of the following represents the given statement in symbolic notation, given that p represents "Kate is taking geometry" and q represents "Kate takes an SOL test."

If Kate does not take geometry, then she does not take an SOL test.

• $q\rightarrow\sim p$

• $p\ \wedge\ q$

• $\sim p\ \vee\ \sim q$

• $\sim p\ \rightarrow\ \sim q$

For the conditional statement, If it is snowing, then it is cold, which is the Converse?

• If it is not snowing, then it is not cold.

• If it is snowing, then it is not cold.

• If it is cold, then it is snowing.

• If it is not cold, then it is not snowing.

For the conditional statement, If it is snowing, then it is cold, which is the Inverse?

• If it is not snowing, then it is not cold.

• If it is snowing, then it is not cold.

• If it is cold, then it is snowing.

• If it is not cold, then it is not snowing.

For the conditional statement, If it is snowing, then it is cold, which is the Contrapositive?

• If it is not snowing, then it is not cold.

• If it is snowing, then it is not cold.

• If it is cold, then it is snowing.

• If it is not cold, then it is not snowing.

If the triangle is rotated 90 degrees clockwise, what will be the coordinates of A'?

• (5, 4)

• (4, 5)

• (5, -4)

• (-5, 4)

If the triangle is reflected over the line y=x, what will be the coordinates of B'?

• (-6, 5)

• (-5, 6)

• (5, 6)

• (6, -5)

If the triangle is dilated by a scale factor of 1/2, what will be the coordinates of C'?

• (-2, 4)

• (-2, -4)

• (-4, 2)

• (-4, 3)

Which type of construction is being illustrated in this figure?

• Angle congruent to a given angle

• Segment bisector

• Angle bisector

• Complementary angles

• $\overline{FD}$

• $\overline{FH}$

• $\overline{EB}$

• $\overline{GD}$