SOL Geometry Review (Strand 1)

According to the Venn diagram, which of the following is true?

• No student plays football.
• Some students play baseball and run track.
• No students play football and run track.
• Some students play baseball and football.

Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.

• you can buy a new CD
• you cannot buy a new CD
• no conclusion can be made
• you earn more than $14

p→q
q→r
∴p→r
Which law is modeled?

• Law of Syllogism
• Law of Detachment
• Law of Contrapositive
• Law of Shannon

For the contrapositive we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

Identify each region of the Venn diagram that represents students who only play flute and the oboe.

• 2
• 4
• 1
• 3

What can be concluded from the following statements?  
If Mike rakes leaves, then he bags them .
If Mike bags the leaves then he mows the lawn.

• If Mike mows the lawn then he bags the leaves.
• If Mike bags the leaves then he rakes.
• If Mike does not mow the lawn, then he did not rake the leaves.
• If Mike mows the lawn then he bags the leaves.

Identify which statement is NOT true based on the Venn Diagram.

• All Squares are Quadrilaterals
• All Squares are Rectangles
• All Rectangles are Quadrilaterals
• Some Trapezoids are Rectangles

What is the relationship of the angles

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical

What is the measure of ∠8?

• 55

• 155

• 135

• 45

Which line is not parallel to line d?

• b
• c
• e