Ch 1, 2, and 3 Test Review 2024

Front

What is the Distance Formula?

Back

The Distance Formula is used to determine the distance between two points in a coordinate plane. It is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the distance between the points (-6,-3) and (-4,-8)?

Back

Using the Distance Formula: d = √((-4 - (-6))² + (-8 - (-3))²) = √((2)² + (-5)²) = √(4 + 25) = √29 ≈ 5.4.

Front

What is the INVERSE of the statement: 'If an object is a computer, then it has a hard drive.'?

Back

The INVERSE is: 'If an object is not a computer, then it does not have a hard drive.'

Front

What is the CONVERSE of the statement: 'If you play football, then you wear a uniform.'?

Back

The CONVERSE is: 'If you wear a uniform, then you play football.'

Front

What is the definition of an INVERSE statement in logic?

Back

An INVERSE statement negates both the hypothesis and the conclusion of the original statement.

Front

What is the definition of a CONVERSE statement in logic?

Back

A CONVERSE statement switches the hypothesis and conclusion of the original statement.

Front

If an animal is black and white, then it is a penguin. What is the INVERSE?

Back

If an animal is not black and white, then it is not a penguin.

Front

If you do not play football, then you do not wear a uniform. What is the CONVERSE?

Back

If you wear a uniform, then you play football.

Front

What is the formula to calculate the distance between two points (x1, y1) and (x2, y2)?

Back

d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the distance between the points (3, 4) and (7, 1)?

Back

Using the Distance Formula: d = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.