Geo X - Tredyffrin/Easttown School District



Geometry & Finite X

Unit 13 – Transformations

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|Day |Topic |HW Assignment |

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|1 |Reflections |Worksheet A |

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|2 |Translations |Worksheet B |

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|3 |Rotations |Worksheet C |

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|4 |Symmetry |Worksheet D |

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|5 |Dilations |Worksheet E |

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|6 |Tessellations |Worksheet F |

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|7 |Review |Review Packet |

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|8 |Unit 13 Test | |

Geo X Name ______________________

HW A: Reflections Date _______________________

Determine the coordinate of the new point (image point) given each reflection below:

1. C across the x-axis _______________

2. E across the y-axis _______________

3. I across the x-axis _______________

4. H across the y-axis _______________

5. F across the x-axis _______________

6. Graph the line y = x on the plane. (Hint: It connects I with F.)

Reflect point G over the line y = x. What is the coordinate of the image point?

7. Draw the reflection of the given figure over the line. Use a ruler. Label each image point with a prime. (Ex: point J becomes J’ on the image.)

a. b.

8. For the quadrilateral WXYZ, reflect each of the points over the x-axis. Draw the new image of the quadrilateral on the coordinate grid with new points (W’X’Y’Z’). Write the coordinates of the points on the line.

W’ _____________

X’ _____________

Y’ _____________

Z’ _____________

9. Graph each figure using the first coordinate grid. Graph the image in the 2nd grid. Write the new points on the line.

a.

K’ _________

L’ _________

M’ _________

N’ _________

b.

A’ _________

B’ _________

C’ _________

(Hint: y = x is a diagonal; See problem 6 on the front.)

Geo X Name ______________________

HW B: Translations Date _______________________

Describe the translation in words and vector form for each pair of points.

1. [pic] ____________________________ ; [pic]

2. [pic] ____________________________ ; [pic]

3. [pic] ____________________________ ; [pic]

4. [pic] ____________________________ ; [pic]

8. [pic]PNQ has vertices P(2, 5), N(-3, -1), and Q(4, 0).

The following transformation will be applied: [pic]

a. Write the translation in words: _______________________________________

For each point, determine the new image point.

P (2, 5) [pic] P’ (________________)

N (-3, -1) [pic] N’ (________________)

Q (4, 0) [pic] Q’ (________________)

9. a. Write the translation in words for the figure below: ____________________________

b. Write the coordinates of the original points KJL and the

new image points K’J’L’

[pic]

[pic]

[pic]

c. Graph the new image of K’J’L’

10. Graph the original figure below. Then graph the image using the vector (translate it to

words first.) Try to graph the new image without writing out the points .

Geo X Name ______________________

HW C: Rotations Date _______________________

For questions 7 – 10, determine whether the angle of rotation is [pic]. Each rotation is clockwise from the pre-image to the new image.

7. 8.

9. 10.

[pic]

[pic]

Geo X Name ______________________

HW D: Symmetry Date _______________________

1. State whether each figure has a line of symmetry (yes or no.) If so, draw all possible lines of symmetry. (Some may have more than one.)

a. b. c.

d. e. f.

2. Determine whether each figure has rotational symmetry.

If so, determine the angle of rotation.

a. b. c.

d. e. f.

3. Write the letters in your name below using large capital letters (block style).

a. Determine which letters in your name have a line of symmetry.

b. Determine whether any letters in your name have rotational symmetry. If so, can you

figure out the angle of rotation?

Example: YOUNDT: Y,O,U,T all have a vertical line of symmetry.

D has a horizontal line of symmetry.

N and O have rotational symmetry.

N: [pic]; O: Well, depending on the font, it could be [pic], or any angle

if it’s a perfect circle!

4. Find the flag of a US state or another country that has at least one line of symmetry.

Draw a quick sketch of the flag, include the state/country’s name and draw the line(s) of

symmetry. You can earn one bonus point on this homework by neatly coloring your flag

(with the flag’s correct colors.)

Geo X Name ______________________

HW E: Dilations Date _______________________

1. For each pair of figures, determine whether one is a dilation of the other.

If so, give the scale factor of the smaller to the larger figure

.

a. b. c.

2. Determine the scale factor of the smaller to the larger figure.

a. b.

3. The coordinates of triangle ABC are (1,4), (4, 1) and (1,1). Find the new points of A’B’C’

with a dilation centered at the

origin and a scale factor of 2.

A’ (_______________)

B’ (_______________)

C’ (_______________)

Draw the image on the

Coordinate plane.

4. Sketch each graph with the given dilation centered at the origin. (Scale factors are under each pictures.) Use the grids below.

a. b.

c. d.

NOTE: You may have to alter your scale on these graphs (go by 2s, 3s or 4s) if necessary.

Label your axis so your scale is clear.

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