8.G.A.2 8.G.A.2 Math.8.G.2 8.G.A.2 8.G.A.2 8.G.2 8.G.2 8.G.2 23 8.G.A.3 Math.8.G.3 8.G.A.3 8.G.A.3 8.G.3 8.G.3 8.G.A.2 24 8.G.A.4 8.G.A.4 Math.8.G.4 8.G.A.4 8.G.A.4 8.G.4 8.G.4 8.G.4 22 8.G.A.1 8.G.A.1 Math.8.G.1 8.G.A.1 8.G.A.1 8.G.1 8.G.1 8.G.1 8.G.A.1 8.G.A.1 M08.B-E.2.1.2 M08.B-E.2.1.3 CC.2.3.8.A.2 M08.C-G.1.1.1 M08.C-G.1.1.2 M08.C-G.1.1.3 M08.C-G.1.1.4 MA.8.GR.2.1 MA.8.GR.2.3

Transformations 8th Grade

Alabama Course of Study Standards: 22
Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects, using relative frequencies calculated for rows or columns to describe possible associations between the two variables. Given a pair of two-dimensional figures, determine if a series of rigid motions maps one figure onto the other, recognizing that if such a sequence exists the figures are congruent; describe the transformation sequence that verifies a congruence relationship.
Arkansas Academic Standards: 8.G.A.1
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length Angles are taken to angles of the same measure Parallel lines are taken to parallel lines
Arizona Academic Standards: 8.G.A.1
Verify experimentally the properties of rotations, reflections, and translations. Properties include: lines are taken to lines, line segments are taken to line segments of the same length, angles are taken to angles of the same measure, parallel lines are taken to parallel lines.
Common Core State Standards: Math.8.G.1 or 8.G.A.1
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length. Angles are taken to angles of the same measure. Parallel lines are taken to parallel lines.
Louisiana Academic Standards: 8.G.A.1
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length. Angles are taken to angles of the same measure. Parallel lines are taken to parallel lines.
Mississippi College- and Career-Readiness Standards: 8.G.1 Ohio's Learning Standards: 8.G.1
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length. Angles are taken to angles of the same measure. Parallel lines are taken to parallel lines.
New York State Next Generation Learning Standards: 8.G.1
Verify experimentally the properties of rotations, reflections, and translations. Verify experimentally lines are mapped to lines, and line segments to line segments of the same length. Verify experimentally angles are mapped to angles of the same measure. Verify experimentally parallel lines are mapped to parallel lines. Note: A translation displaces every point in the plane by the same distance (in the same direction) and can be described using a vector. A rotation requires knowing the center/point of rotation and the measure/direction of the angle of rotation. A line reflection requires a line and the knowledge of perpendicular bisectors.
Tennessee Academic Standards: 8.G.A.1
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length. Angles are taken to angles of the same measure. Parallel lines are taken to parallel lines.
Wisconsin Academic Standards: 8.G.A.1
Verify experimentally the properties of rotations, reflections, and translations: Lines are taken to lines, and line segments to line segments of the same length. Angles are taken to angles of the same measure. Parallel lines are taken to parallel lines.
Arkansas Academic Standards: 8.G.A.2
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations Given two congruent figures, describe a sequence that exhibits the congruence between them
Arizona Academic Standards: 8.G.A.2
Understand that a two-dimensional figure is congruent to another if one can be obtained from the other by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that demonstrates congruence.
Common Core State Standards: Math.8.G.2 or 8.G.A.2
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
Louisiana Academic Standards: 8.G.A.2
Explain that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. (Rotations are only about the origin and reflections are only over the y-axis and x-axis in Grade 8.)
North Carolina - Standard Course of Study: 8.G.2
Use transformations to define congruence. Verify experimentally the properties of rotations, reflections, and translations that create congruent figures. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations. Given two congruent figures, describe a sequence that exhibits the congruence between them.
New York State Next Generation Learning Standards: 8.G.2
Know that a two-dimensional figure is congruent to another if the corresponding angles are congruent and the corresponding sides are congruent. Equivalently, two two-dimensional figures are congruent if one is the image of the other after a sequence of rotations, reflections, and translations. Given two congruent figures, describe a sequence that maps the congruence between them on the coordinate plane.
Ohio's Learning Standards: 8.G.2
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. (Include examples both with and without coordinates.)
Alabama Course of Study Standards: 23
Use coordinates to describe the effect of transformations (dilations, translations, rotations, and reflections) on two-dimensional figures.
Arkansas Academic Standards: 8.G.A.3
Given a two-dimensional figure on a coordinate plane, identify and describe the effect (rule or new coordinates) of a transformation (dilation, translation, rotation, and reflection): Image to pre-image Pre-image to image
Common Core State Standards: Math.8.G.3 or 8.G.A.3 Tennessee Academic Standards: 8.G.A.2
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
Louisiana Academic Standards: 8.G.A.3
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. (Rotations are only about the origin, dilations only use the origin as the center of dilation, and reflections are only over the y-axis and x-axis in Grade 8.)
North Carolina - Standard Course of Study: 8.G.3
Describe the effect of dilations about the origin, translations, rotations about the origin in 90 degree increments, and reflections across the x-axis and y-axis on two-dimensional figures using coordinates.
New York State Next Generation Learning Standards: 8.G.3
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. Note: Lines of reflection are limited to both axes and lines of the form y = k and x = k, where k is a constant. Rotations are limited to 90 and 180 degrees about the origin. Unless otherwise specified, rotations are assumed to be counterclockwise.
Alabama Course of Study Standards: 24
Given a pair of two-dimensional figures, determine if a series of dilations and rigid motions maps one figure onto the other, recognizing that if such a sequence exists the figures are similar; describe the transformation sequence that exhibits the similarity between them.
Arkansas Academic Standards: 8.G.A.4
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations Given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them
Arizona Academic Standards: 8.G.A.4
Understand that a two-dimensional figure is similar to another if, and only if, one can be obtained from the other by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that demonstrates similarity.
Common Core State Standards: Math.8.G.4 or 8.G.A.4
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
Louisiana Academic Standards: 8.G.A.4
Explain that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. (Rotations are only about the origin, dilations only use the origin as the center of dilation, and reflections are only over the y-axis and x-axis in Grade 8.)
North Carolina - Standard Course of Study: 8.G.4
Use transformations to define similarity. Verify experimentally the properties of dilations that create similar figures. Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations. Given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
New York State Next Generation Learning Standards: 8.G.4
Know that a two-dimensional figure is similar to another if the corresponding angles are congruent and the corresponding sides are in proportion. Equivalently, two two-dimensional figures are similar if one is the image of the other after a sequence of rotations, reflections, translations, and dilations. Given two similar two-dimensional figures, describe a sequence that maps the similarity between them on the coordinate plane. Note: With dilation, the center and scale factor must be specified.
Ohio's Learning Standards: 8.G.4
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. (Include examples both with and without coordinates.)
Pennsylvania Core Standards: M08.B-E.2.1.2
Use similar right triangles to show and explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane
Pennsylvania Core Standards: M08.B-E.2.1.3
Derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
Pennsylvania Core Standards: CC.2.3.8.A.2
Understand and apply congruence, similarity, and geometric transformationsusing various tools.
Pennsylvania Core Standards: M08.C-G.1.1.1
Identify and apply properties of rotations, reflections, and translations.
Pennsylvania Core Standards: M08.C-G.1.1.2
Given two congruent figures, describe a sequence of transformations that exhibits the congruence between them.
Pennsylvania Core Standards: M08.C-G.1.1.3
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
Pennsylvania Core Standards: M08.C-G.1.1.4
Given two similar two-dimensional figures, describe a sequence of transformations that exhibits the similarity between them.
Florida - Benchmarks for Excellent Student Thinking: MA.8.GR.2.1
Given a preimage and image generated by a single transformation, identify the transformation that describes the relationship.
Florida - Benchmarks for Excellent Student Thinking: MA.8.GR.2.3
Describe and apply the effect of a single transformation on two-dimensional figures using coordinates and the coordinate plane

Transformations

Alabama Course of Study Standards: 22

Arkansas Academic Standards: 8.G.A.1

Verify experimentally the properties of rotations, reflections, and translations:Lines are taken to lines, and line segments to line segments of the same lengthAngles are taken to angles of the same measureParallel lines are taken to parallel lines

Arizona Academic Standards: 8.G.A.1

Verify experimentally the properties of rotations, reflections, and translations. Properties include: lines are taken to lines, line segments are taken to line segments of the same length, angles are taken to angles of the same measure, parallel lines are taken to parallel lines.

Common Core State Standards: Math.8.G.1 or 8.G.A.1

Verify experimentally the properties of rotations, reflections, and translations:Lines are taken to lines, and line segments to line segments of the same length.Angles are taken to angles of the same measure. Parallel lines are taken to parallel lines.

Louisiana Academic Standards: 8.G.A.1

Verify experimentally the properties of rotations, reflections, and translations:Lines are taken to lines, and line segments to line segments of the same length.Angles are taken to angles of the same measure.Parallel lines are taken to parallel lines.

Mississippi College- and Career-Readiness Standards: 8.G.1

Ohio's Learning Standards: 8.G.1

Verify experimentally the properties of rotations, reflections, and translations:Lines are taken to lines, and line segments to line segments of the same length.Angles are taken to angles of the same measure. Parallel lines are taken to parallel lines.

New York State Next Generation Learning Standards: 8.G.1

Tennessee Academic Standards: 8.G.A.1

Verify experimentally the properties of rotations, reflections, and translations:Lines are taken to lines, and line segments to line segments of the same length.Angles are taken to angles of the same measure. Parallel lines are taken to parallel lines.

Wisconsin Academic Standards: 8.G.A.1

Verify experimentally the properties of rotations, reflections, and translations:Lines are taken to lines, and line segments to line segments of the same length. Angles are taken to angles of the same measure.Parallel lines are taken to parallel lines.

Arkansas Academic Standards: 8.G.A.2

Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translationsGiven two congruent figures, describe a sequence that exhibits the congruence between them

Arizona Academic Standards: 8.G.A.2

Understand that a two-dimensional figure is congruent to another if one can be obtained from the other by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that demonstrates congruence.

Common Core State Standards: Math.8.G.2 or 8.G.A.2

Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

Louisiana Academic Standards: 8.G.A.2

North Carolina - Standard Course of Study: 8.G.2

New York State Next Generation Learning Standards: 8.G.2

Ohio's Learning Standards: 8.G.2

Alabama Course of Study Standards: 23

Use coordinates to describe the effect of transformations (dilations, translations, rotations, and reflections) on two-dimensional figures.

Arkansas Academic Standards: 8.G.A.3

Given a two-dimensional figure on a coordinate plane, identify and describe the effect (rule or new coordinates) of a transformation (dilation, translation, rotation, and reflection):Image to pre-imagePre-image to image

Common Core State Standards: Math.8.G.3 or 8.G.A.3

Tennessee Academic Standards: 8.G.A.2

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

Louisiana Academic Standards: 8.G.A.3

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. (Rotations are only about the origin, dilations only use the origin as the center of dilation, and reflections are only over the y-axis and x-axis in Grade 8.)

North Carolina - Standard Course of Study: 8.G.3

Describe the effect of dilations about the origin, translations, rotations about the origin in 90 degree increments, and reflections across the x-axis and y-axis on two-dimensional figures using coordinates.

New York State Next Generation Learning Standards: 8.G.3

Alabama Course of Study Standards: 24

Given a pair of two-dimensional figures, determine if a series of dilations and rigid motions maps one figure onto the other, recognizing that if such a sequence exists the figures are similar; describe the transformation sequence that exhibits the similarity between them.

Arkansas Academic Standards: 8.G.A.4

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilationsGiven two similar two-dimensional figures, describe a sequence that exhibits the similarity between them

Arizona Academic Standards: 8.G.A.4

Understand that a two-dimensional figure is similar to another if, and only if, one can be obtained from the other by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that demonstrates similarity.

Common Core State Standards: Math.8.G.4 or 8.G.A.4

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

Louisiana Academic Standards: 8.G.A.4

North Carolina - Standard Course of Study: 8.G.4

New York State Next Generation Learning Standards: 8.G.4

Ohio's Learning Standards: 8.G.4

Pennsylvania Core Standards: M08.B-E.2.1.2

Use similar right triangles to show and explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane

Pennsylvania Core Standards: M08.B-E.2.1.3

Derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

Pennsylvania Core Standards: CC.2.3.8.A.2

Understand and apply congruence, similarity, and geometric transformationsusing various tools.

Pennsylvania Core Standards: M08.C-G.1.1.1

Identify and apply properties of rotations, reflections, and translations.

Pennsylvania Core Standards: M08.C-G.1.1.2

Given two congruent figures, describe a sequence of transformations that exhibits the congruence between them.

Pennsylvania Core Standards: M08.C-G.1.1.3

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

Pennsylvania Core Standards: M08.C-G.1.1.4

Given two similar two-dimensional figures, describe a sequence of transformations that exhibits the similarity between them.

Florida - Benchmarks for Excellent Student Thinking: MA.8.GR.2.1

Given a preimage and image generated by a single transformation, identify the transformation that describes the relationship.

Florida - Benchmarks for Excellent Student Thinking: MA.8.GR.2.3

Describe and apply the effect of a single transformation on two-dimensional figures using coordinates and the coordinate plane

Processing Request...

Verify experimentally the properties of rotations, reflections, and translations:
Lines are taken to lines, and line segments to line segments of the same length
Angles are taken to angles of the same measure
Parallel lines are taken to parallel lines

Verify experimentally the properties of rotations, reflections, and translations:
Lines are taken to lines, and line segments to line segments of the same length.
Angles are taken to angles of the same measure.
Parallel lines are taken to parallel lines.

Verify experimentally the properties of rotations, reflections, and translations:
Lines are taken to lines, and line segments to line segments of the same length.
Angles are taken to angles of the same measure.
Parallel lines are taken to parallel lines.

Verify experimentally the properties of rotations, reflections, and translations:
Lines are taken to lines, and line segments to line segments of the same length.
Angles are taken to angles of the same measure.
Parallel lines are taken to parallel lines.

Verify experimentally the properties of rotations, reflections, and translations:
Lines are taken to lines, and line segments to line segments of the same length.
Angles are taken to angles of the same measure.
Parallel lines are taken to parallel lines.

Verify experimentally the properties of rotations, reflections, and translations:
Lines are taken to lines, and line segments to line segments of the same length.
Angles are taken to angles of the same measure.
Parallel lines are taken to parallel lines.

Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations
Given two congruent figures, describe a sequence that exhibits the congruence between them

Given a two-dimensional figure on a coordinate plane, identify and describe the effect (rule or new coordinates) of a transformation (dilation, translation, rotation, and reflection):
Image to pre-image
Pre-image to image

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations
Given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them