Unit 7 Vocabulary Preimage The original figure before

Unit 7 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.

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)

MC Esher

* Translations (Slide your image over) * preimage * image

* Reflections (Flip your image over) * preimage * image

* Rotations (Turn your image about a fixed point) * image * preimage

In the figure, XYZ → ABC by a reflection. Name the image of X. X Z C Y B A

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

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 are similar if they have the same shape but have different sizes.

Corresponding angles are congruent and corresponding sides are proportional Trapezoids ABCD and EFGH are similar A ABCD ~ EFGH B E F H D G C Write the statement of proportionality List all congruent angles

Determine if the polygons are similar. Justify your answer. EX 4 7 5 4 4 6 6 5 7 NOTE: You must check for corresponding angles to be the same and for the sides to be proportional.

HW Practice WS