Rotations
Which transformation would not carry a square
onto itself?
1) a reflection over one of its diagonals
2) a 90° rotation clockwise about its center
3) a 180° rotation about one of its vertices
4) a reflection over the perpendicular bisector of
one side
3) a 180° rotation about one of its vertices
A line of reflection is
A. equidistant from the pre-image and image
B. a line that a figure is reflected over
C. also called a line of symmetry
D. All of the above
D. All of the above
Describe the translation of point P(2, 7) to
point P'(7, 9).
[5]
[A] (x, y) -> (x - 5, y + 2)
[B] (x, y) -> (x + 5, y + 2)
[C] (x, y) -> (x - 5, y - 2)
[D] (x, y) -> (x + 5, y - 2)
[B] (x, y) -> (x + 5, y + 2)
What is the degree of rotational symmetry of a regular octagon?
A. 60° B. 72°
C. 108° D. 45°
D. 45°
A rigid transformation:
A. Moves a figure on the plane by gliding
B. Makes a figure increase in size
C. Moves a figure on the plane by creating a mirror image.
D. preserves the measures of the segments and angles
D. preserves the measures of the segments and angles
Rotations are
A) A turn
B) A flip
C) A slide
D) A decrease/increase in size
A) A turn
If an object is reflected over the x -axis, how can the change in the coordinates be described?
A. Both the x coordinate and the y coordinate will change
B. The y -coordinate will remain the same and the x -coordinate will change
C. Neither the x -coordinate or the y -coordinate will change
D. The x -coordinate will remain the same and the y -coordinate will change
D. The x -coordinate will remain the same and the y -coordinate will change
Write the translation of point P(2, –4) to point
P' (–2, 1).
[A] (x, y) -> (x - 5, y + 4)
[B] (x, y) -> (x + 5, y - 4)
[C] (x, y) -> (x - 4, y + 5)
[D] (x, y) -> (x + 4, y - 5)
[C] (x, y) -> (x - 4, y + 5)
What is the degree of rotational symmetry of a regular pentagon?
A. 60° B. 72°
C. 108° D. 144°
B. 72°
Which is a true statement?
A. Translation of a figure is not a rigid motion because a figure is not returned to its original location.
B. Dilation of a figure is a rigid motion because the figure's size is not preserved.
C. Rotation of a figure is a rigid motion because the figure's side lengths are preserved.
D. Reflection of a figure is not a rigid motion because a figure's orientation is not preserved.
C. Rotation of a figure is a rigid motion because the figure's side lengths are preserved.
Which of the following is correct for a rotation of 180 degrees about the origin?
A) (x,y) -> (-y,x)
B) (x,y) -> (-x,-y)
C) (x,y) -> (y,-x)
D) (x,y) -> (x,-y)
B) (x,y) -> (-x,-y)
Point A of a triangle ABC is at (3,2). If triangle ABC is reflected about the y -axis, what are the new coordinates of A ?
A (-3,-2) B (-3,2)
C (-2,3) D (3,-2)
B (-3,2)
A polygon is transformed according to the rule:
(x,y) -> (x + 2,y). Every point of the polygon
moves two units in which direction?
1) up
2) down
3) left
4) right
4) right
A regular decagon is rotated n degrees about its
center, carrying the decagon onto itself. The value
of n could be
1) 10°
2) 150°
3) 225°
4) 252°
4) 252°
Two or more transformations that combine to create one transformation is a(n)
A. Glide reflection B. Composition
C. Slide rotation D. Isomers
B. Composition
Rotations of 180 degrees are equivalent to
A) A translation over the y-axis
B) A rotation of 90 degrees clockwise
C) A dilation with a scale factor of 2
D) A reflection through the origin
D) A reflection through the origin
If an object is reflected over the y -axis, how can the change in the coordinates be described?
A. Both the x coordinate and the y coordinate will change
B. The y -coordinate will remain the same and the x -coordinate will change
C. Neither the x -coordinate or the y -coordinate will change
D. The x -coordinate will remain the same and the y -coordinate will change
B. The y -coordinate will remain the same and the x -coordinate will change
What is the image of point (2,5) under the
translation that shifts (x,y) to (x + 3, y - 2)?
1) (0,3)
2) (0,8)
3) (5,3)
4) (5,8)
3) (5,3)
Which regular polygon has a minimum rotation of
45° to carry the polygon onto itself?
1) octagon
2) decagon
3) hexagon
4) pentagon
1) octagon
If A' B'C' is the image of ABC, under which
transformation will the triangles not be congruent?
1) reflection over the x-axis
2) translation to the left 5 and down 4
3) dilation centered at the origin with scale factor
2
4) rotation of 270° counterclockwise about the
origin
3) dilation centered at the origin with scale factor
2
Rotations can be achieved by performing
A) Two composite translations of (x+2, y+2)
B) Two composite reflections over intersecting lines
C) Two composite reflections over the x-axis
D) One dilation with a scale factor of 1/2
B) Two composite reflections over intersecting lines
Which transformation produces a figure that is
always the mirror image of the original figure?
1) line reflection
2) dilation
3) translation
4) rotation
1) line reflection
The image of point (3,-5) under the translation that
shifts (x,y) to (x - 1,y - 3) is
1) (-4,8)
2) (-3,15)
3) (2,8)
4) (2,-8)
4) (2,-8)
If a figure maps onto itself after a complete 360 degree rotation, this type of symmetry exists
A) Line Symmetry
B) Rotational Symmetry
C) Pet Symmetry
D) Identity SymmetryD) Identity Symmetry
The transformation (x,y) -> (3x,3y) represents
1) a dilation
2) an isometry
3) a reflection
4) a translation
1) a dilation