U1 TEST Transformations ANSWERS

A'(-12, 2) is the result of a dilation centered at the origin with a scale factor of 1/2. What are the coordinates of A?

(-24, 4)

The point (5, -2) is rotated 270 counterclockwise around the origin and then dilated by a scale factor of 2 at the origin. What are the coordinates of the resulting image?

(-4, -10)

Which of the following rules is the composition of a dilation of scale factor 2 following (after) a translation of 3 units to the right?

(2x + 6, 2y)

What are the rules for the composite transformation formed by a translation 2 units to the left and 3 units up, followed by a 90° counterclockwise rotation?

(x,y) ----------> (-y - 3 , x - 2)

Under dilation, triangle A(0,0), B(0,4), C(6,0) becomes triangle A'(0,0), B'(0,10), C'(15,0). What is the scale factor for this dilation?

2.5

Which counterclockwise rotation about the origin will result in Point P having coordinates of (-3, 3)?

270

A rotation of 90° clockwise is the same as which transformation?

270° counterclockwise rotation

What angle will make a rotational symmetry?

45

A triangle has vertices at A (1, 3), B (4, 2), and C (3, 8). Which transformation would produce an image shown below?

A rotation 90° clockwise

Which describes the composite transformation for the rule?

A translation 2 units right followed by a reflection across the line y=x

Which represents a series of transformations that would map triangle ABC onto triangle A'B'C'?

A translation 5 units left followed by a reflection across the x-axis.

Transform with triangle shown below. Rotate 270° clockwise about the origin. What are the vertices of the image triangle?

A'(0, 0), B'(-2, 9), C'(-10, 5)

In which quadrant would the image of point (5,-3) fall after a dilation using a factor of 3?

Quadrant IV

A figure is rotated 180° about the origin followed by a reflection across the y-axis. What transformation would return the figure to its preimage?

Reflection across the x-axis

Which describes the sequence of transformations shown?

Reflection cross the y-axis then rotate 270°.

Determine which rotations will map this figure to itself. ☢

iii only

A(-5, 7) maps to A'(-7, -5) through a rotation. B'(6, 3) is the result of the same rotation on point B. What are the coordinates of point B?

(3, -6)

The point (3, -7) is rotated 180° about the origin followed by a reflection across y = x. What are the coordinates of the resulting image?

(7, -3)

What is the image of A(6, -3) under the the transformation (x, y) --->(2/3x, 2/3y)

A'(4, -2)

Point A is reflected across the y-axis followed by a reflection across the x-axis. If A" is located at (-7, 10), where is A located?

A(7, -10)

Given the translation rule (x, y) ---> (x+7, y-1) what is the pre-image of D'(2,-3)?

D(-5, -2)

Which transformation does not preserve size?

Dilation

Figure 1 is rotated 90° clockwise around the origin. Which figure is the image of Figure 1?

Figure 3

Which of the following transformations always preserves the dimensions of a figure: I. translation II. rotation III. reflection IV. dilation

I, II, and III

A figure is translated 4 units right and 2 units down followed by a translation 7 units left. What transformation will return the image to its original position?

Translation 3 units right and 2 units up.