Transformational Geometry: 3/31/14-4/17/14



Transformational Geometry: 10/23/14 – 11/5/14

Date Topic HW Quiz Journal

10/23/14 Graphing Activity

10/2414 Translations Translation HW Journal #11 due

10/27/14 Reflections Reflection HW Journal #12 assigned

10/28/14 Dilations Dilation HW

10/29/14 Rotations Rotation HW

10/30/14 Rotations Transformations Quiz

10/31/14 Activity Day Journal #12 due

11/3/14 Review Transformation study guide Journal #13 assigned

11/4/14 Review Study for Test

11/5/14 Transformation Test

Translation HW Assigned 10/24/14 Due: 10/27/14

Tell whether the figures are translations of each other. Explain.

1. 2.

Find the coordinates of the image after the transformation.

3. The vertices of a square are A(1, −2), B(3, −2), C(3, −4), and D(1, −4). Draw the figure and its image after translation 4 units left and 6 units down.

For problems 4 and 5 use figure at the right. Find the coordinates of the image after transformation.

4. a translation of 5 units left and 1 unit up

5. a translation of 2 units right and 4 units down

6. A polygon lies entirely in quadrant III,

which quadrant will the image lie after a translation of 8 units down?

Describe the translation of the point to its image.

7. From (3, − 2) to (1, 0)

Reflection HW Assigned 10/27/14 Due: 10/28/14

Tell whether the figures are reflections for each other. Explain

1. 2.

Find the coordinates of the image after being reflected over the x-axis.

3. A(3, 2), B(4, 4), C(1, 3) 4. H(2, −2), J(4, −1), K(6, −3), L(5, −4)

Find the coordinates of the image after being reflected over the y-axis.

5. T(1, −1), U(4, 2), V(6, −2) 6. W(2, −1), X(5, −2), Y(5, −5), Z(2, −4)

The coordinates of a point and its image are given. Is the reflection in the x-axis or y-axis?

6. From (−2, −5) to (2, −5) 7. From (−3, −4) to (−3, 4)

8. Use the figure to the right. Translate the triangle 1 unit right and 5 units down. Then reflect

the image in the y-axis.

Dilation HW Assigned 10/28/14 Due: 10/29/14

Find the coordinates of the image after the transformation.

1. A dilation with a scale factor of 2 2. A dilation with a scale factor of [pic]

3. A dilation with a scale factor of 1.5 4. A dilation with at scale factor of 5

5. How do dilations differ from translations, reflections, and rotations?

Rotation HW Assigned 10/29/14 Due: 10/30/14

The vertices of a parallelogram are A(−4, 1), B(−3, 4), C(−1, 4), and D(−2, 1). Rotate the parallelogram as described. Find the coordinates of the image.

1. 90° counterclockwise about the origin 2. 90° clockwise about the origin

3. 180° clockwise about the origin 4. 270° counterclockwise about the origin

A figure lies entirely in Quadrant II. In which quadrant will the figure lie after the given clockwise rotation about the origin?

5. 90° 6. 180° 7. 270° 8. 360°

Transformation study guide Assigned 11/3/14 Due: 11/4/14

Find the coordinates of the image after the transformation.

1. translate 3 units left 1 unit up

2. translate 4 units right 3 units down

3. reflect over the x-axis

4. reflect over the y-axis

5. rotate 90° counterclockwise about the origin

6. rotate 180° clockwise about the origin

7. dilation with a scale factor of 1/4

8. dilation with a scale factor of 3

9. How can you tell when one figure is a reflection of another figure?

10. You can click and drag an icon on a computer screen. What transformation is this an example of? Explain.

11. Give a real life example of when you would use reflection.

12. Give a real life example of when you would use rotation.

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