1. 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.

2. Pre-image
The original figure before undergoing a transformation.

3. Image
The new, resulting figure after a transformation

4. Isometry
A transformation in which the preimage and image are congruent.

5. 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.

6. Which of the following are rigid transformations? (Isometry)

7. How do you think
this picture was drawn?
MC Esher

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

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

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

11. they preserve angle measures
Isometries not only
preserve lengths, but
they preserve angle measures
parallel lines, and
betweenness of points

12. In the figure, XYZ → ABC by a reflection. Name the image of X.

13. 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

14. Find the value of each variable, given that the transformation is an isometry.

15. Congruent
Figures are congruent if they have the same shape, size, lines, and angles.

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

17. 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

18. 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.

19. HW Practice WS