1 Lesson 4 – 7 Congruence Transformations GeometryLesson 4 – 7Congruence TransformationsObjective:Identify reflections, translations, and rotations.Verify congruence after a congruence transformation.
2 Transformations Transformations – An operation that maps an original figure (preimage) onto a new figure (image).
3 Congruence Transformations AKA rigid transformationsAKA isometric (isometry)The position of the image may differ from that of the preimage, but the two figures remain congruent.
4 Types of Congruence Transformations ReflectionA transformation over a line called the line of reflection. A flip over a line.
5 Types of Congruence Transformations TranslationA transformation that moves all points of the original figure the same distance in the same direction. A slide of the points
6 Types of Congruence Transformations RotationA transformation around a fixed point called the center of rotation. Each point of the original figure and it image are the same distance from the center. A turn about a point.
7 Rotation Reflection Translation Identify the type of congruence transformation shown as a reflection, translation, or rotation.RotationReflectionTranslation
8 Translation Rotation Reflection Identify the type of congruence transformation shown as a reflection, translation, or rotation.TranslationRotationReflection
9 Identify the type of congruence transformation shown in the diagram as a reflection, translation, or rotation.Rotation
10 Translation Reflection Identify the type of congruence transformation shown in the diagram as a reflection, translation, or rotation.TranslationReflection
11 Verify Congruence after Transformation Triangle XZY with vertices X (2, -8), Z (6, -7), and Y(4, -2) is a transformation of Triangle ABC with vertices A (2, 8), B (6, 7), and C (4, 2). Graph the original figure and its image. Identify the transformation and verify that it is a congruence transformation.ReflectionCont…
12 Verify the triangles are congruent Since no angles are known we will prove congruence by SSS.
13 HomeworkPg – 6 all, 8 – 28 E, 32, 38 – 42 E, 46 – 50 E