Congruence and Similarity pg. 87

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Presentation transcript:

Congruence and Similarity pg. 87 Unit 1 Chapter 2 Congruence and Similarity pg. 87

Congruence and Transformations pg. 95 Lesson 1 Congruence and Transformations pg. 95

Vocabulary Composition of Transformations Corresponding Parts The resulting transformation when a transformation is applied to a figure and then another transformation is applied to its image Corresponding Parts Parts of congruent or similar figures that match Indirect Measurement A technique using properties of similar polygons to find distances or lengths that are difficult to measure directly

Vocabulary Scale Factor Similar Similar Polygons The ratio of the lengths of two corresponding sides of two similar polygons Similar If one image can be obtained from another by a sequence of transformations and dilations Similar Polygons Polygons that have the same shape

What You’ll Learn in Lesson #1 You can prove two figures are congruent if one is the result of a translation, reflection, or rotation of the other Transformations preserve length Isometry

Identifying Congruence Example Determine if the two figures are congruent by using transformations Reflection over vertical line Translation Triangles are congruent

Identifying Congruence Example Determine if the two figures are congruent by using transformations Reflection then Translation Figures are not congruent

Determine the Transformations You can determine the transformations by analyzing the orientation or relative position of the figures Translation Reflection Rotation Length is the same Orientation is the same Orientation is reversed Orientation is changed B B' B' B B B' A' A A A' A' A

Homework HC: pg. 99-100 (1-9) CC: pg. 99-100 (1-3, 5,6,9) www.ixl.com Q2