Rigid Transformations & Symmetry QUIZ

Which diagram shows a dotted line that is not a line of symmetry?

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Tags

CCSS.4.G.A.3

In the diagram, which transformation changes the solid-line parabola to the dotted-line parabola?

• translation

• line reflection, only

• rotation, only

• line reflection or rotation

Tags

CCSS.8.G.A.3

Which statement below is false?

• Rigid transformations produce congruent figures.

• Angle measures are preserved through reflections.

• A dilation is a rigid transformation.

• Rotations preserve the distance of side lengths in figures.

Tags

CCSS.HSG.CO.A.2

What is the angle of rotational symmetry in a regular octagon?

• 36°

• 45°

• 60°

• 72°

Tags

CCSS.HSG.CO.A.4

Which figure always has exactly four lines of reflection?

• square

• rectangle

• regular octagon

• equilateral triangle

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In the diagram, congruent figures 1, 2, and 3 are drawn.

Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

• a reflection followed by a translation

• a rotation followed by a translation

• a translation followed by a reflection

• a translation followed by a rotation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Point B is reflected across line segment CD such that it maps onto point A. Points B and A are then connected to form line segment BA. Which of the following must be true?

•  $\overline{AE\ }\cong\overline{\ EB}$  

•  $\overline{CE\ }\cong\overline{\ ED}$  

•  $AB\ =\ 2\ \times\ CE$  

•  $\overline{AB\ }\cong\overline{\ CD}$  

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If a line segment is rotated 180 degrees around a point (not on the original line segment), then the pre-image and image segments:

• have different lengths and are parallel

• have the same length and are parallel

• have different lengths and are perpendicular

• have the same length and are perpendicular

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Choose the correct function notation for the transformation shown.

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Tags

CCSS.HSG.CO.A.2

A nonagon is a nine-sided polygon. If a regular nonagon was rotated about its center point, which angle of rotation would not map the figure onto itself?

• $120\degree$

• $80\degree$

• $60\degree$

• $40\degree$

Tags

CCSS.HSG.CO.A.4