Unit 1 and Unit 2 Review

Two transformations will be performed on Quadrilateral WXYZ.

Transformation 1 is a reflection in the y-axis followed by a translation.

Transformation 2 is a rotation followed by a dilation.

Which results in a figure congruent to WXYZ?

• Only transformation 1

• Only transformation 2

• Both transformations

• Neither transformation

Which figure cannot be mapped onto itself by a rotation of less than 360 degrees?

• trapezoid

• square

• rectangle

• regular hexagon

How was each point of Polygon ABCDE shifted to get Polygon A'B'C'D'E'?

• right 1 unit and down 1 unit

• right 1 unit and down 4 units

• left 1 unit and up 4 units

• left 1 unit and up 1 unit

What are the new coordinates of point (x, y) after being rotated 90^o counterclockwise?

• (y, x)

• (-x, -y)

• (-y, x)

• (y, -x)

The triangle in the graph will be reflected over the x-axis and then over the y-axis. Which transformation of the triangle would produce the same image?

• reflection over the line y=-x

• reflection over the y-axis and a translation of 4 units down

• rotation 180^o counterclockwise about the origin

• rotation 90^o clockwise about the origin and a translation of 4 units to the left

The figure is a rectangle with vertices at (0, 0), (4, 0), (4, 2), and (0, 2). Which equation represents a line of symmetry for this figure?

• y=2

• x=2y

• y=2x

• x=2

△XYZ is transformed on a coordinate plane to obtain its congruent image △X'Y'Z'. Which of the following statements could be true?

I. △X'Y'Z' is the translated image of △XYZ.

II. △X'Y'Z' is the reflected image of △XYZ.

III. △X'Y'Z' is the rotated image of △XYZ.

• only I

• only II

• only I and II

• I, II, III

In triangle ABC, the length of AB is 3 cm, and the length of BC is 7 cm. Triangle ABC will be dilated with the center at the origin to create triangle A'B'C'. If the image of Point A(-3, 5) after the dilation is A'(-15, 25), what is the length of BC?

• 35 cm

• 28 cm

• 15 cm

• 10 cm

Given A(3, 7) and B(-2, 1), what would be the length of segment AB after it has been dilated by a scale factor of 3 about the origin?

• 2.60

• 23.43

• 7.81

• 15.62

The vertices of a quadrilateral are located at (-3, 2), (5, 2), (3, -2), and (-5, -2). What is the minimum clockwise rotation about the origin needed to carry the quadrilateral onto itself?

• 90^o

• 180^o

• 270^o

• 360^o