Lines of Symmetry, Diagonals, Rotation

Which of the statement is TRUE for this image?

• Order of Rotation is 3 and Line of Reflection is 3

• Order of Rotation is 6 and Line of Reflection is 6

• Order of Rotation is 3 and Line of Reflection is 6

• Order of Rotation is 6 and Line of Reflection is 3

What is the order of rotation of this shape?

• 4

• 5

• 6

• 7

• 8

The figure is symmetric with respect to —

Which transformation will map the figure onto itself?

• 90 degree rotation about the center

• 180 degree rotation about the center

• 270 degree rotation about the center

• none of the above

Which of the following transformations carry this regular polygon onto itself?

• Rotation of 45 degrees counterclockwise

• Rotation of 72 degrees counterclockwise

• Rotation of 60 degrees counterclockwise

A trapezoid is shown in the coordinate plane. Which of the following gives the line or lines of symmetry about which the trapezoid can be reflected in order to map the trapezoid onto itself?

• y = x

• x = 4

• x = 4 and y = 2

• x = 0 and y = 0

What is the equation of the RED line of reflection in the image below?

Which of the following lines could this shape be reflected over to map onto itself? (there are two answers!)

• x = -1

• x = 1

• y = -1

• y = 1

What line could you reflect this shape over to map it onto itself?

• y = 3

• x = 3

• y = - 3

• y = 3

Which transformation would not carry this rhombus onto itself?

• a reflection over the longer diagonal

• a reflection over the shorter diagonal

• a clockwise rotation of 90° about the intersection of the diagonals

• a counterclockwise rotation of 180° about the intersection of the diagonals