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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