# Transformations - Practice #2 (Grade 10)

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## Transformations - Practice #2

1.

The following pre-image is rotated 90° clockwise about the origin, moved 2 units left and 5 units up. Draw the correct transformed image.

2.

The following pre-image is rotated 180° about the origin clockwise, the moved 3 units in the x direction and -6 units in the y direction. Draw the correct transformed image.

3.

Which of the following could be used to map this parallelogram onto itself?

- reflection
- rotation
- reflection and rotation
- neither

4.

Which of these transformations will create a shape which is not congruent with the original?

- Rotate [math]90 deg[/math] clockwise and dilate by a factor of 2
- Translate 4 to the left and rotate [math]180 deg[/math]
- Translate down 2, reflect across the [math]y[/math] axis, and rotate [math]180 deg[/math]
- Reflect across the [math]x[/math] axis and translate down by 6

5.

When a figure is rotated about a point, the direction of rotation is always counter-clockwise.

- True
- False

6.

The transformation between the two graphs is best described as

- translation
- rotation
- reflection
- reflection or rotation

7.

Find the single translation that has the same effect as each of the following composition of translations.

a) [math]T_(2,5) " followed by " T_(-4,9)[/math]

b) [math]T_(-3,7) " followed by " T_(3,-7)[/math]

a) [math]T_(2,5) " followed by " T_(-4,9)[/math]

b) [math]T_(-3,7) " followed by " T_(3,-7)[/math]

8.

Draw Triangle LMN with points L(3,-3); M(1,-2); N(3,4).

Reflect its image across the x-axis.

Reflect its image across the x-axis.

9.

The regular pentagon ABCDE is divided into five congruent triangles. The 3rd vertex of each of these triangles (not on the sides of the pentagon) meets at the center of pentagon ABCDE; call this point X.

a) Name the image of point C under a 72 degree counter-clockwise rotation about X.

b) Name the image of point A under a 216 degree counter-clockwise rotation about X.

a) Name the image of point C under a 72 degree counter-clockwise rotation about X.

b) Name the image of point A under a 216 degree counter-clockwise rotation about X.

10.

Sketch Triangle ABC with vertices A(-1,-2); B(3,-1); C(2,4). Find the image of Triangle ABC under the following glide reflections.

a) [math]T_{2,2} and r_{y = 3}[/math]

b) [math]T_{0,3} and r_{x = -2}[/math]

a) [math]T_{2,2} and r_{y = 3}[/math]

b) [math]T_{0,3} and r_{x = -2}[/math]

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