Patterns & Inductive Reasoning (2.1)

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size, and their corresponding angles are equal while the ratios of their corresponding sides are equal.

Front

What is inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general conclusion is drawn from specific examples or patterns.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition.

Front

How do you find the next number in a pattern?

Back

To find the next number in a pattern, identify the rule or relationship between the numbers in the sequence.

Front

What is the formula for finding the nth term in a sequence?

Back

The formula for finding the nth term varies by sequence type; for linear sequences, it is often in the form of an = a1 + (n-1)d, where d is the common difference.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is a pattern?

Back

A pattern is a repeated or recurring sequence of numbers, shapes, or other elements that follow a specific rule.

Front

What is the difference between a hypothesis and a conclusion?

Back

A hypothesis is a proposed explanation or prediction that can be tested, while a conclusion is a statement that follows logically from the premises or evidence.

Front

What does it mean to draw a conclusion from given statements?

Back

To draw a conclusion means to infer a logical result based on the information provided in the statements.

Front

What is the significance of corresponding sides in similar figures?

Back

In similar figures, corresponding sides are proportional, meaning the ratios of their lengths are equal.