Ch 1 and 2 Review Quick Flashcard

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part). For example, 'If today is Friday, then tomorrow is the weekend.'

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement is formed by reversing the hypothesis and conclusion. For example, the converse of 'If you are a twin, then you have a sibling' is 'If you have a sibling, then you are a twin.'

Front

How do you find the midpoint of a line segment?

Back

The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the formula: ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the distance formula between two points?

Back

Front

Calculate the distance between points (3,1) and (-2,-1).

Back

Front

What is the definition of a hypothesis in a conditional statement?

Back

The hypothesis is the 'if' part of a conditional statement, representing a condition that must be true for the conclusion to follow.

Front

What is the definition of a conclusion in a conditional statement?

Back

The conclusion is the 'then' part of a conditional statement, representing the result that follows if the hypothesis is true.

Front

What is a logical statement?

Back

A logical statement is a sentence that is either true or false, but not both.

Front

What is the significance of the midpoint in geometry?

Back

The midpoint is significant as it divides a line segment into two equal parts, providing a point of balance.

Front

How do you express a conditional statement in symbolic form?

Back

A conditional statement can be expressed in symbolic form as p → q, where p is the hypothesis and q is the conclusion.