Unit 5 Vocabulary. Pre-image . The original figure before undergoing a transformation. Image . The new, resulting figure after a transformation. Isometry. A transformation in which the preimage and image are congruent.
Pre-image The original figure before undergoing a transformation.
Image The new, resulting figure after a transformation
Isometry A transformation in which the preimage and image are congruent.
Transformations are called RIGID if every image is congruent to its preimage. Rigid transformations can also be referred to as an ISOMETRY. Every segment is congruent to its image.
How do you think this picture was drawn? MC Esher
* Translations (Slide your image over) * image * preimage
* Reflections (Flip your image over) * preimage * image
* Rotations (Turn your image about a fixed point ) * image * preimage
Isometries not only preserve lengths, but they preserve angle measures parallel lines, and betweenness of points
In the figure, XYZ → ABC by a reflection. Name the image of X. X Z Y B C A
EV Parallelogram MATH is transformed to Parallelogram LOVE by a rotation.What is the image of HT? M A E V L H T O
Find the value of each variable, given that the transformation is an isometry.
Congruent Figures are congruent if they have the same shape, size, lines, and angles.
Similar Triangles Triangles are similar if they have the same shape but have different sizes.
Similar Polygons Corresponding angles are congruent and corresponding sides are proportional Trapezoids ABCD and EFGH are similar ABCD ~ EFGH A B E F List all congruent angles H G D C Write the statement of proportionality
Determine if the polygons are similar. Justify your answer. 7 EX 4 5 6 4 6 4 5 7 NOTE: You must check for corresponding angles to be the same and for the sides to be proportional.