Understanding Dilations and Rigid Transformations in Mathematics
Explore the concepts of dilations, congruence, similarity, and rigid transformations including reflections, rotations, and translations in mathematics. Learn about scale factors, enlargements, reductions, and how to determine if an image represents an enlargement or reduction. Dive into coordinate and vector forms for a comprehensive understanding of these geometric transformations.
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Dilations UNIT 10 NOTES
Rigid Transformations Rigid Transformations Congruence Congruence Reflections Rotations Translations Compositions Isometry!!!!!
Non Non- - rigid transformations rigid transformations Similarity Similarity Dilation The preimage and image are similar similar. Similar Similar : Corresponding angles are congruent Corresponding sides are proportional.
Dilations 1. Must have a center 2. Must have a scale factor. 3. Enlargement scale factor > 1 4. Reduction scale factor < 1 ????? ????? (???? ??????) ??? ????? ????? (???? ??????) 5. Scale Factor =
Example 4: Determine if the picture represents an enlargement or reduction. Find the scale factor and the value of x. 15 x 5
Coordinate form ?,? (2? ,2? ) Scale factor: 2
Coordinate form 1 3? ,1 ? ,? 3?
Vector form 2 3?,2 A ( 12, 9 ) ; B ( -12 , 3 ) ; C ( -6 , -6 ) 3?
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Whats in the Box?? 29 items in all 2 types of items 1 type worth 21 cents each, the other type 8 cents each Contents of the box worth $3.39 How many of each item?