Unit 1 Test - Using Inductive Reasoning and Conjectures

Front

What is inductive reasoning?

Back

Inductive reasoning is the process of making a generalization based on observations and patterns.

Front

What is a ray in geometry?

Back

A ray is a part of a line that starts at a point and extends infinitely in one direction.

Front

How many unique rays can be formed from a single point?

Back

The number of unique rays that can be formed from a single point is infinite, but in a given diagram, it may be limited by the lines shown.

Front

What is the notation for a line segment between points D and B?

Back

The notation for a line segment between points D and B is @@ rac{ ightarrow}{DB} @@.

Front

What does it mean for points to be coplanar?

Back

Points are coplanar if they all lie on the same plane.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

If point P is equidistant from points L and C, what can be said about point P?

Back

Point P lies on the perpendicular bisector of segment LC.

Front

What is a conjecture in mathematics?

Back

A conjecture is a statement that is believed to be true based on observations but has not been proven.

Front

What is the difference between inductive and deductive reasoning?

Back

Inductive reasoning makes generalizations based on specific observations, while deductive reasoning applies general principles to reach specific conclusions.

Front

What is a line in geometry?

Back

A line is a straight one-dimensional figure that has no thickness and extends infinitely in both directions.