Q1 Geometry CSA Study Guide #2

What is the inverse statement for ~q → p?

​ (a)   ​ (b)   ​ ​ (c)   ​

• q
• →
• ~p
• ~q
• p
• ↔
• ∴
• v
• ^

What is the contrapositive of the following statement?s a car
If ​ (a)   , then ​ ​ (b)   ​

• Patrick will not need a job
• Patrick will not get a car
• Patrick gets a car
• Patrick will need a job

What is the converse of the statement below?

"If it is not Monday, then I will not have school tomorrow."

If ​ (a)   , then ​ (b)   .​ ​

• I will not have school tomorrow
• it is not Monday
• it is Monday
• I will have school tomorrow

Match each symbol representation with its verbal argument.

Given:

Let p represent: Mrs. Harlan is on Spring Break.
Let q represent: Mrs. Harlan is on a cruise.

• ∴ ~ p

• Doesn't match any

• ~p → q

• If Mrs. Harlan is on Spring Break, then she is on a cruise.

• p → q

• Mrs. Harlan is not on a cruise.

• ~q

• Therefore, Mrs. Harlan is not on Spring Break.

1. If two lines are perpendicular, then the slopes of the lines have a product of -1.

Lines A and B are perpendicular.

What logical conclusion can be drawn?

• The product of the slopes of Line A and B is -1.

• Lines A and B create 90 degree angles at their intersection.

• Lines A and B never intersect.

• Invalid argument

1. (1) If it is sunny today, then I will go to the Outer Banks.

(2) If I go to the Outer Banks, then I will go to Jolly Roger Restaurant.

What can be concluded using the Law of Syllogism?

Organize these options into the right categories.

Groups:

(a) Proves Parallelism

,

(b) Does not Prove Parallelism

• Corresponding Angles Congruent

• Consecutive exterior angles supplementary

• Linear Pairs Supplementary

• Vertical Angles Congruent

• Alternate Interior Angles Congruent

• Consecutive interior angles supplementary

• Alternate Exterior Angles Congruent

Line l and m are cut by a transversal. Find the value of y that proves line l parallel to m.

y = ____

Which angles must be congruent to ∠2 if these lines are parallel?

Match the following

• Alternate Interior Angles

• ∠3 and ∠5

• Consecutive Exterior Angles

• ∠5 and ∠4

• Vertical Angles

• ∠1 and ∠7

• Consecutive Interior Angles

• ∠1 and ∠4