This design has no symmetries. Translate shape 1 down 1 a. The design has reflection symmetry over the lines shown and rotational symmetry. The distance from jubcaps image point to the line of reflection is equal to the distance from the original point to the line of reflection. The final image is labeled image a. All points on the y-axis are fixed.

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The design has reflection symmetry over reflection symmetry in the lines shown. The design has reflection symmetry in the line shown. All rights reserved. This design has no symmetries. This design has translational symmetry with length and direction indicated by the arrow.

This design has rotation symmetry with a 9. It has direction indicated by the arrow. The design has six lines of symmetry. Skill: Identifying Rotation Symmetry P 1. The image point lies on the line passing through the original point, perpendicular to the line of reflection.

The distance from the image point to the line of reflection is equal to the distance from the original point to the line of reflection.

C In Exercises 7 and 8, each point on the original figure is matched to an image point Each point X on polygon ABCDEF is whose distance and direction from the original matched to an image point Xr so that point are determined by the arrow.

The result is labeled shape a in the AB C D drawing below. The result is labeled shape b in the d. The coordinates of a e. One possible basic design element is 5 shown below. Possible answer: 5, 6 One possible basic design element is You can generate vertex Y. The coordinates of the final image are Rotations preserve the shape of the original triangle so the triangle and its image are congruent. Yes; Given the information only one triangle is possible by SAS. No; Given SSA does not guarantee that you have a congruent triangle.

For b. Yes; Given the information only one 3. Since the e. The final image is labeled image a. The final image is labeled image b. The images are not the same. Reflecting a figure over the x-axis and then rotating6. Possible answer: One of the congruentshapes is drawn with a dashed line and x O4the other with a solid line. You can moveone shape onto the other by reflecting itover the line shown.

Possible answer: Translate shape 1 down 1 a. Finally, reflect it b. Possible answer: Reflect shape 2 over the y-axis and then translate it up 4 units. Figure 1 Transformation Coordinates All points on the x-axis are fixed. Thus all points of the form a, 0 where a is a number.

All points on the y-axis are fixed. Thus all

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