Unit 1B: Transformations Pretest - 8th Period

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)

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• 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