Unit 5 Vocabulary The easiest thing to do is to plug in 1 and -1 (or 2 and -2) if you get the same y, then it’s Even. If you get the opposite y, then it’s.

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Unit 5 Vocabulary The easiest thing to do is to plug in 1 and -1 (or 2 and -2) if you get the same y, then it’s Even. If you get the opposite y, then it’s.

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Unit 5 Vocabulary The easiest thing to do is to plug in 1 and -1 (or 2 and -2) if you get the same y, then it’s Even. If you get the opposite y, then it’s Odd. If you get different y’s, then it’s Neither.

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.

Every segment is congruent to its image. 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.

Which of the following are rigid transformations? (Isometry)

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

they preserve angle measures 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.

Parallelogram MATH is transformed to Parallelogram LOVE by a rotation Parallelogram MATH is transformed to Parallelogram LOVE by a rotation. What is the image of HT? M A E V L H T EV 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.

HW Practice WS