Topic 1 + 2 Finals Review

Front

What is the law of syllogism?

Back

The law of syllogism states that if 'If A, then B' and 'If B, then C' are both true, then 'If A, then C' is also true.

Front

Can the law of syllogism be applied to: If I play basketball, then I can run fast. If I run, then I can do track?

Back

No, the law of syllogism cannot be applied here.

Front

Can the law of syllogism be applied to: If I study, then I will pass the test. If I pass the test, then I will graduate?

Back

Yes, it can be applied. If I study, then I will graduate.

Front

What type of pasta is traditionally eaten on New Year's Day in America for prosperity?

Back

Spaghetti.

Front

How do you find the distance between two points S(-3,8) and T(9,2)?

Back

Use the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]. The distance is √180.

Front

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the midpoint of the segment connecting the points (2,4) and (6,8)?

Back

(4,6).

Front

What is the distance between the points (1,2) and (4,6)?

Back

√[(4-1)² + (6-2)²] = √(9 + 16) = √25 = 5.

Front

What does it mean if two statements are logically equivalent?

Back

Two statements are logically equivalent if they have the same truth value in every possible scenario.

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement, typically written as 'If A, then B'.