Geometry Basics: Line Segments and Points

6 Questions

Match the following geometry terms with their definitions:

Point = a location in space, represented by a set of coordinates (x, y) Line = a set of points that extend infinitely in two directions Line Segment = a part of a line with two distinct endpoints Ray = a line that extends infinitely in one direction from a single point

Match the following line representations with their forms:

y = mx + b = Slope-Intercept Form Ax + By = C = Standard Form y = b = Horizontal Line x = a = Vertical Line

Match the following geometry terms with their descriptions:

Collinear = points that lie on the same line Midpoint = the point that divides a line segment into two equal parts Parallel Lines = lines that have the same slope but different y-intercepts Perpendicular Lines = lines that have slopes that are negative reciprocals of each other

Match the following line characteristics with their definitions:

Slope = m in the equation y = mx + b Y-intercept = b in the equation y = mx + b Length = calculated using the distance formula: √((x2 - x1)^2 + (y2 - y1)^2 Endpoints = A and B in the notation AB for a line segment

Match the following line types with their descriptions:

Horizontal Line = a line with a slope of 0 Vertical Line = a line with an undefined slope Parallel Lines = lines that have the same slope but different y-intercepts Perpendicular Lines = lines that have slopes that are negative reciprocals of each other

Match the following geometry terms with their descriptions:

Line Segment = a part of a line with two distinct endpoints Ray = a line that extends infinitely in one direction from a single point Midpoint = the point that divides a line segment into two equal parts Collinear = points that lie on the same line

Study Notes

Drawing Line Segments

A line segment is a part of a line with two distinct endpoints.
To draw a line segment, you need to know the coordinates of the two endpoints.
The notation for a line segment is AB, where A and B are the endpoints.
The length of a line segment can be calculated using the distance formula: √((x2 - x1)^2 + (y2 - y1)^2)

Basic Geometry Vocabulary

Point: a location in space, represented by a set of coordinates (x, y).
Line: a set of points that extend infinitely in two directions.
Line Segment: a part of a line with two distinct endpoints.
Ray: a line that extends infinitely in one direction from a single point.
Collinear: points that lie on the same line.
Midpoint: the point that divides a line segment into two equal parts.

Identifying Lines

Slope-Intercept Form: a line can be represented in the form y = mx + b, where m is the slope and b is the y-intercept.
Standard Form: a line can be represented in the form Ax + By = C, where A, B, and C are integers.
Horizontal Line: a line with a slope of 0 (y = b).
Vertical Line: a line with an undefined slope (x = a).
Parallel Lines: lines that have the same slope but different y-intercepts.
Perpendicular Lines: lines that have slopes that are negative reciprocals of each other.

Drawing Line Segments

A line segment is defined by two distinct endpoints, and its notation is represented by AB, where A and B are the endpoints.
To draw a line segment, you need to know the coordinates of the two endpoints.
The length of a line segment can be calculated using the distance formula: √((x2 - x1)^2 + (y2 - y1)^2).

Basic Geometry Vocabulary

A point is a location in space, represented by a set of coordinates (x, y).
A line is a set of points that extend infinitely in two directions.
A line segment is a part of a line with two distinct endpoints.
A ray is a line that extends infinitely in one direction from a single point.
Collinear points are points that lie on the same line.
The midpoint is the point that divides a line segment into two equal parts.

Identifying Lines

The slope-intercept form of a line is represented by y = mx + b, where m is the slope and b is the y-intercept.
The standard form of a line is represented by Ax + By = C, where A, B, and C are integers.
A horizontal line has a slope of 0 and is represented by y = b.
A vertical line has an undefined slope and is represented by x = a.
Parallel lines have the same slope but different y-intercepts.
Perpendicular lines have slopes that are negative reciprocals of each other.