TRANSFORMATIONS AND CONGRUENCE

Transcription

1 1 TRANSFORMATIONS AND CONGRUENCE LEARNING MAP INFORMATION STANDARDS 8.G.1 Verify experimentally the s, s, and s: 8.G.1.a Lines are taken to lines, and line segments to line segments of the same length. 8.G.1.b Angles are taken to of the same measure. 8.G.1.c Parallel lines are taken to parallel lines. 8.G.2 Understand that a two-dimensional figure is to another if the second can be obtained from the first by a sequence of s, s, and s; given two, describe a sequence that exhibits the congruence between them. 8.G.3 Describe the dilations, s, s, and s on two-dimensional. make direct comparison of 2 graph polygons in a coordinate plane transformation the in the s the lines and line segments in the relationship between and over an axis the parallel lines in the s compositions of the s congruence through prove 2 are a sequence of

2 2 8.G.1 Verify experimentally the s, s, and s: 8.G.1.a Lines are taken to lines, and line segments to line segments of the same length. 8.G.1.b Angles are taken to of the same measure. 8.G.1.c Parallel lines are taken to parallel lines. graph polygons in a coordinate plane transformation the lines and line segments in the in the parallel lines in

3 3 8.G.2 Understand that a two-dimensional figure is to another if the second can be obtained from the first by a sequence of s, s, and s; given two, describe a sequence that exhibits the congruence between them. make direct comparison of 2 the lines and line segments in the in compositions of congruence through prove 2 are a sequence of

4 4 8.G.3 Describe the dilations, s, s, and s on two-dimensional. transformation the relationship between and over an axis the s the s the s

5 5 Node Name EXPLAIN CONGRUENCE THROUGH TRANSFORMATIONS EXPLAIN CONGRUENT ANGLES EXPLAIN CONGRUENT FIGURES EXPLAIN DISTANCE-PRESERVING TRANSFORMATIONS EXPLAIN REFLECTION EXPLAIN ROTATION EXPLAIN THE EFFECT OF REFLECTIONS USING COORDINATES EXPLAIN THE EFFECT OF ROTATIONS USING COORDINATES EXPLAIN THE EFFECT OF TRANSLATIONS USING COORDINATES EXPLAIN THE PROPERTIES OF ANGLES IN TRANSFORMATIONS EXPLAIN THE PROPERTIES OF LINES AND LINE SEGMENTS IN TRANSFORMATIONS EXPLAIN THE PROPERTIES OF PARALLEL LINES IN TRANSFORMATIONS EXPLAIN THE RELATIONSHIP BETWEEN COORDINATES AND REFLECTION OVER AN AXIS EXPLAIN TRANSLATION GRAPH POLYGONS IN A COORDINATE PLANE MAKE DIRECT COMPARISON OF 2 ANGLES PROVE 2 FIGURES ARE CONGRUENT USING A SEQUENCE OF TRANSFORMATIONS RECOGNIZE CONGRUENT ANGLES Node Description etc., that a two-dimensional figure is to another if the second can be obtained from the first by a sequence of s, s, and s. etc., that are that have the same measure. etc., that have the same shape and size. etc., that s, s, and s preserve distances, angle measures, size, and shape. etc., that a is a transformation that flips a plane containing points, lines, or across a line. etc., that a is a transformation that turns a plane containing points, lines, or around a point. For a specified figure and, find the of the image given the of the pre-image. For a specified figure and, find the of the image given the of the pre-image. For a specified figure and, find the of the image given the of the pre-image. etc., that in s, s, s, and dilations, remain of the same measure. etc., that in s, s, and s, lines remain lines and line segments remain line segments of the same length. etc., that in s, s, s, and dilations, parallel lines remain parallel lines. etc., that coordinate pairs that only differ by signs are s across an axis. etc., that a is a transformation that slides a plane containing points, lines, or. Through writing or appropriate assistive technology, polygons in a coordinate plane given vertices. Directly compare two in relation to angle measurement and describe the difference informal language like greater or less. Perform a sequence of that map one figure precisely onto the second figure to prove the two are. Identify or name.

6 6 RECOGNIZE CONGRUENT FIGURES RECOGNIZE REFLECTION RECOGNIZE ROTATION RECOGNIZE TRANSFORMATION RECOGNIZE TRANSLATION REPRESENT COMPOSITIONS OF DISTANCE- PRESERVING TRANSFORMATIONS REPRESENT CONGRUENT ANGLES REPRESENT CONGRUENT FIGURES REPRESENT REFLECTION REPRESENT ROTATION REPRESENT TRANSLATION Identify two as if the second figure can be obtained from the first figure by a sequence of s, s, and s. Identify a as a transformation that flips a plane containing points, lines, or across a line of. Identify a as a transformation in which a plane containing points, lines, or is turned. Identify a transformation (i.e.,,, dilation, etc.) as a manipulation of a plane containing points, lines, or. Identify a as a transformation in which the position of a plane containing points, lines, or is changed. Through writing or appropriate assistive technology, a sequence of on a plane containing points, lines, or. Through writing or appropriate assistive technology,. Through writing or appropriate assistive technology,. Through writing or appropriate assistive technology, a of a plane containing points, lines, or. Through writing or appropriate assistive technology, a of a plane containing points, lines, or. Through writing or appropriate assistive technology, s (vertical, horizontal, or diagonal) of a plane containing points, lines, or.