Grade 6 Basic Concepts in Geometry

Step-by-Step Learning

Learn about basic geometry concepts through these example problems with detailed step-by-step solutions.

Example 1: Identifying Points, Lines, and Line Segments

Identify whether the given figure represents a point, line, or line segment: A straight figure with arrows on both ends.

Step 1: A point is a single location in space with no length or width.

Step 2: A line extends infinitely in both directions and has arrows on both ends.

Step 3: A line segment has two endpoints and does not extend infinitely.

Step 4: Since the figure has arrows on both ends, it represents a line.

Example 2: Naming a Ray

Name the ray that starts at point A and passes through point B.

Step 1: A ray starts at one point (endpoint) and extends infinitely in one direction.

Step 2: The ray is named by its endpoint first, followed by another point it passes through.

Step 3: Since the ray starts at A and passes through B, it is named \( \overrightarrow{AB} \).

Example 3: Identifying Collinear Points

Determine if points P, Q, and R are collinear if they lie on the same straight line.

Step 1: Points are collinear if they lie on the same straight line.

Step 2: If P, Q, and R are described as being on the same straight line, they are collinear.

Step 3: Therefore, points P, Q, and R are collinear.

Practice Mode

Enter your own problem related to basic geometry concepts, and get a step-by-step solution.

Note: This basic solver can currently handle identification of points, lines, line segments, rays, and collinear points (e.g., Identify if a figure with two endpoints is a line segment; Name the ray starting at A passing through B; Are points A, B, C collinear if on the same line).

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Grade 6 Basic Concepts in Geometry

Step-by-Step Learning

Example 1: Identifying Points, Lines, and Line Segments

Example 2: Naming a Ray

Example 3: Identifying Collinear Points

Practice Mode

Related Concepts

Point

Line

Line Segment

Ray