WorksheetsUnit 1B: Transformations Pretest
Total questions: 13
Worksheet time: 1hrs 5mins
Which of the following transformations to ∆ABC would NOT preserve size and shape?
A. translation of (x – 5, y + 2)
B. reflection over the x-axis
C. dilation of scale factor 2
D. rotation 90° clockwise
The rectangle is rotated 180º counterclockwise about the origin. Which of the following ordered pairs is a vertex of the rectangle’s image?
A. (–5, 1)
B. (–4, –1)
C. (4, –5)
D. (4, 4)
The vertices of ABC are A(2, 1), B(3, 4), and C(1, 3). If ABC is translated 1 unit down and 3 units to the left to create DEF, what are the coordinates of the vertices of DEF
A. D(0, 1), E(1, 2), F(1, 3)
B. D(0, -1), E(0, 3), F(-2, -2)
C. D(-2, -2), E(0, 3), F(-1, 0)
D. D(-1, 0), E(0, 3), F(-2, 2)
The figure shows two perpendicular lines s and r, intersecting at point P in the interior of a trapezoid. Line r is parallel to the bases and bisects both legs of the trapezoid. Line s bisects both bases of the trapezoid.
Which transformation will ALWAYS carry the figure onto itself?
A. a reflection across line s
B. a rotation of 180° clockwise about point P
C. a reflection across line r
D. a rotation of 90° clockwise about point P
Which of the following statements about rigid transformations is FALSE?
A. In a reflection, the points of the pre-image are always the same distance away from the line of reflection as the corresponding points of the image.
B. In a translation, the segments joining points of the pre-image and their images are perpendicular.
C. In a reflection, the segments joining points of the pre-image and their images are perpendicular to the line of reflection.
D. In a rotation, the points of the pre-image are always the same distance away from the center of rotation as the corresponding points of the image.
A. translation
B. reflection
C. rotation
D. not enough information to determine
Which transformation can be used to map Figure 1 onto itself and can also be used to map Figure 2 onto itself?
A. A reflection over one of the diagonals of the figure.
B. A reflection over a line through the center of the figure that is parallel to one of the sides of the figure.
C. A rotation of 180° about the center of the figure.
D. A rotation of 90° clockwise about the center of the figure.
What will be the coordinates of point A if figure ABCD is reflected across the x-axis?
A. A' (-2, 5)
B. A' (-2, -5)
C. A' (2, -5)
D. A' (2, 5)
A. a rotation of 180° about the origin
B. a reflection across the line with equation y = x
C. a reflection across the y-axis, followed by a reflection across the x-axis
D. a translation along vector w, <3, 0>, followed by a reflection across the x-axis
E. a translation along vector v, <0, -12>, followed by a reflection across the y-axis
A. y-coordinate for B' is 7
B. y-coordinate for B' is 3
C. y-coordinate for B' is -3
D. y-coordinate for B' is -7
A. A'(7, 5), B'(2, 5), C'(4, -1)
B. A'(-7, -5), B'(-2, -5), C'(-4, 1)
C. A'(7, -5), B'(2, -5), C'(4, 1)
D. A'(-7, 5), B'(-2, 5), C'(-4, -1)
Rotate △A'B'C' 180° clockwise to create △A"B"C". What are the coordinates for each vertex of △A"B"C" ?
A. A"(7, -5), B"(2, -5), C"(4, 1)
B. A"(-7, 5), B"(-2, 5), C"(-4, -1)
C. A"(-7, -5), B"(-2, -5), C"(-4, 1)
D. A"(7, 5), B"(2, 5), C"(4, -1)
