Topic 1 Review

Front

What do we do to the hypothesis and conclusion for the converse?

Back

We switch the hypothesis and conclusion.

Front

What do we do to the hypothesis and conclusion for the inverse?

Back

We negate the hypothesis and conclusion.

Front

What is the converse of the statement: 'If it is night, then it is dark outside'?

Back

If it is dark outside, then it is night.

Front

Determine the length of the missing side if one side is 7 and the other is 17.

Back

The missing side is 17.

Front

What is the distance between the two points (3, 4) and (9, 10)?

Back

The distance is 6.3.

Front

Define 'converse' in the context of conditional statements.

Back

The converse of a conditional statement is formed by switching the hypothesis and conclusion.

Front

Define 'inverse' in the context of conditional statements.

Back

The inverse of a conditional statement is formed by negating both the hypothesis and conclusion.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

If the statement is 'If A, then B', what is the contrapositive?

Back

The contrapositive is 'If not B, then not A.'

Front

What is the relationship between a statement and its contrapositive?

Back

A statement and its contrapositive are logically equivalent.