Collinearity (points on a line, remain on the line)Īfter a reflection, the pre-image and image are identical.Parallelism (things that were parallel are still parallel).Distance (lengths of segments are the same).ISOMETRIC PROPERTIES - Because a reflection is an isometric transformation the following properties are preserved between the pre-image and its image: The isometric properites help us build concepts to congruence, and the transformation properties help us understand the specific properties of that motion in the plane. TEACHER NOTE - Each of these transformations have ISOMETRIC properties and TRANSFORMATION properties. If point P is NOT on line m, then line m is the perpendicular bisector of. The line of reflection is the perpendicular bisector of the segment joining every point and its image.Ī reflection in a line m is a isometric transformation that maps every point P in the plane to a point P’, so that the following properties are true ġ. Because a reflection is an isometry, the image does not change size or shape. If AB and CD are two line segments and parallel, then it is represented as line segment AB ∥ line segment CD.High School Geometry Common Core G.CO.A.4 - Transformations - Teacher Notes - PattersonĬONCEPT 1 - Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular line, parallel lines, and line segment.Ī reflection over a line m (notation R m) is an isometric transformation in which each point of the original figure (pre-image) has an image that is the same distance from the line of reflection as the original point but is on the opposite side of the line. The line segment is a line that consists of two endpoints. If two line segments are parallel then those two line segments are called Parallel Segments. If AB and CD are two rays and parallel rays, then it is represented as ray AB ∥ ray CD. Parallel Rays are two rays that do not intersect each other and have the same distance every time. the pair of alternate angles are equal, then the straight lines are parallel to each other.
Two straight lines are cut by a transversal, and if (iii) Co-interior or allied angles are supplementary. (i) Interior and exterior alternate angles are equal. Look at the above figure and check out the parallel lines, transversal line, and etc.,įrom the above figure, AB and CD are parallel lines and MN is a transversal line that cuts the parallel lines AB and CD.
Properties Of Angles Associated with Parallel Linesįrom the above figure, A and B are two parallel lines and C is passing through two parallel lines by intersecting them at a point. We can write it as A || B and we can read it as A is parallel to B. Learn and practice all Lines and Angles concepts and problems on our website.įrom the above figure, Line A and Line B are parallel lines.
The symbol to denote parallel lines is ||. The distance between the parallel lines is always the same. Parallel Lines are two lines in a plane, they do not intersect and parallel to each other.
0 kommentar(er)
