Axis - Geometry - Math Dictionary

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Horizontal axis Vertical axis

Axis
Definition of Axis

An Axis is a line about which a figure is drawn, measured, rotated, etc.
The horizontal line and the vertical line on a coordinate plane are known as the X-axis and the Y-axis respectively.

More about Axis

The plural of axis is axes.
In a three-dimensional coordinate plane X, Y, and Z are the three axes.

Example of Axis

Solved Example on Axis

Identify the axis on which the book is located.

Choices:
A. X-axis
B. Y-axis
C. Origin
D. Both X and Y-axis
Correct Answer: B
Solution:
Step 1: The horizontal line and the vertical line on a coordinate plane are known as the X-axis and the Y-axis respectively.
Step 2: The book is placed on the vertical line.
Step 3: So, the book is located on Y-axis

Related Terms for Axis

Horizontal axis
Vertical axis

Additional Links for Axis

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Browse for solved examples below on this Math Dictionary term:

PA BM Curriculum > Benchmark - Algebra II > Algebraic Concepts > 6D.3.1.1: Explain the relationship of the data on the horizontal axis to the data on the vertical axis represented on a line graph

PA BM Curriculum > Grade 6 > Algebraic Concepts > 6D.3.1.1: Explain the relationship of the data on the horizontal axis to the data on the vertical axis represented on a line graph

PA BM Curriculum > Grade 7 > Geometry > 7.C.3.1.1: Plot and/or identify ordered pairs on a coordinate plane (any quadrant or axis)

PA BM Curriculum > Grade 8 > Geometry > M8.C.2.1.2: Draw or identify a reflection (flip) over the axis of a 2-dimensional shape on a grid.

California Assessment Curriculum - 2006 > Grade 8 > Algebra I Content Standards > 22.0-Students use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x-axis in zero, one, or two points.

California Assessment Curriculum - 2006 > Algebra - 1 > Algebra I Content Standards > 22.0-Students use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x-axis in zero, one, or two points.

California Assessment Curriculum - 2006 > Pre-Calculus > Trigonometry Content Standards > 7.0-Students know that the tangent of the angle a line makes with the x-axis is equal to the slope of the line.

Michigan Assessment Curriculum - 2006 > Grade 7 > Algebra and Functions > A.FO.07.08-Find and interpret the x and/or y intercepts of a linear equation or function. Know that the solution to a linear equation of the form ax+b=0 corresponds to the point at which the graph of y=ax+b crosses the x axis.

Michigan Assessment Curriculum - 2006 > Grade 8 > Algebra and Functions > A.RP.08.06-Graph factorable quadratic functions, finding where the graph intersects the x-axis and the coordinates of the vertex; use words “parabola” and “roots”; include functions in vertex form and those with leading coefficient –1, e.g., y = x² - 36, y=(x-2)² - 9; y= -x² ;y= -(x-3)².

Michigan Assessment Curriculum - 2006 > Grade 5 > Statistics and Probability > D.RE.05.02-Construct line graphs from tables of data; include axis labels and scale.

MIssissippi Assessment Curriculum - 2006 > Grade 7 > Exploring Geometry > 3.h-Identify x-axis, y-axis, origin, and quadrants of the coordinate plane.

Ohio Assessment Curriculum - 2006 > Geometry > Patterns, Functions and Algebra > 12-Describe the relationship between slope of a line through the origin and the tangent function of the angle created by the line and the positive x-axis.

Ohio Assessment Curriculum - 2006 > Algebra - 2 > Patterns, Functions and Algebra > 5-Identify families of functions with graphs that have rotation symmetry or reflection symmetry about the y-axis, x-axis or y = x.

Ohio Assessment Curriculum - 2006 > Algebra 2 > Patterns, Functions and Algebra > 5-Identify families of functions with graphs that have rotation symmetry or reflection symmetry about the y-axis, x-axis or y = x.

Wisconsin Assessment Curriculum - 2006 > Grade 7 > Interpreting Geometry > C.c.1-Identify, locate, plot coordinates in the four quadrants and transformations of points across the x- or y-axis.

Wisconsin Assessment Curriculum - 2006 > Grade 8 > Interpreting Geometry > C.c.1-Identify, locate, plot coordinates in all four quadrants; draw or identify the reflection of a point across the x- or y-axis or the translation of a point at integer coordinates in any of the four quadrants.

Alabama Assessment Curriculum - 2006 > Grade 5 > Interpreting Geometry > 9-Identify components of the Cartesian plane, including the x-axis, y-axis, origin, and quadrants.

New York Assessment Curriculum - 2006 > Algebra - 1 > Algebra > A.A.41-Determine the vertex and axis of symmetry of a parabola, given its equation.

New York Assessment Curriculum - 2006 > Algebra - 1 > Geometry > A.G.10-Determine the vertex and axis of symmetry of a parabola, given its graph.

Oklahoma Assessment curriculum - 2006 > Geometry > Standard 3: Coordinate Geometry - The student will solve problems with geometric figures in the coordinate plane. > 3.1-Use transformations (reflection, rotation, translation) within coordinate geometry (e.g., reflect points across the y-axis).

Louisiana Assessment Curriculum - 2006 > Grade 4 > Statistics and Probability > GLE 36-Analyze, describe, interpret, and construct various types of charts and graphs using appropriate titles, axis labels, scales, and legends.

Indiana Assessment Curriculum - 2006 > Calculus - 1 > Applications of Integration > C.5.4-Use definite integrals to find the area between a curve and the x-axis, or between two curves.

Indiana Assessment Curriculum - 2006 > Pre-Calculus > Trigonometric Functions > PC.4.10-Know that the tangent of the angle that a line makes with the x-axis is equal to the slope of the line.

Tennessee Assessment Curriculum - 2006 > Benchmark - Algebra II > Exploring Measurement > 6.4.spi.8-Determine the distance between two points on the x- or the y-axis in Quadrant I.

Tennessee Assessment Curriculum - 2006 > Grade 6 > Exploring Measurement > 6.4.spi.8-Determine the distance between two points on the x- or the y-axis in Quadrant I.

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