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# FTCE Middle Grades Math: Transformations in Geometry Chapter Exam

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### Page 1

#### Question 1 1. Which transformation involves changing the size of an object?

#### Question 2 2. Test this equation for symmetry:

#### Question 3 3. If an object with rotational symmetry has a degree of rotation equal to 51.43; what is the order of rotational symmetry?

#### Question 4 4. How do you define symmetry?

#### Question 5 5. What is translation in math?

### Page 2

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Question 6
6.
Which figure shows the preimage reflected across the *y*-axis?

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Question 7
7.
Which figure shows the image when the preimage is reflected across the line *y* = *x*?

#### Question 8 8. Point B (6, 3) is dilated by a scale factor of 5/3. What are the coordinates for B'?

#### Question 9 9. Triangle ABC is dilated with a scale factor of -3. Fully describe the relationship between triangle ABC and triangle A'B'C'.

#### Question 10 10. Which type of transformation is shown here?

### Page 3

#### Question 11 11. Which of the following statements are true?

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Question 12
12.
What figure represents the image if the preimage is reflected across the line *y* = -2*x* + 2

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Question 13
13.
Test the following points for symmetry about the origin:

(-1,-5), (-3, -8) and (-5, -13); (1,5), (3,-8) and (5, -13)

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Question 14
14.
Test the following equation for symmetry about the origin:

x + 3y = 27

#### Question 15 15. Which of these letters does not have rotational symmetry?

### Page 4

#### Question 16 16. What is the mathematical notation for this translation? The maroon figure is the preimage and the blue figure is the image.

#### Question 17 17. Test the following equation for symmetry about the origin:

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Question 18
18.
Which translation corresponds to (*x*, *y*) → (*x* + 7, *y* - 6) [the maroon figure is the pre-image and the blue figure is the image]?

#### Question 19 19. The symmetry of a graph is defined as _____.

#### Question 20 20. Which of the following shows a translation of the figure (the maroon figure is the pre-image and the blue figure is the image)?

### Page 5

#### Question 21 21. Which of the following transformations involves reflecting a geometric figure over a line?

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Question 22
22.
Test the following points for symmetry:

(3,4) (3,5) (3,6) (4,8) (3,-4) (3, -5) (3, -6) (4,-8)

#### Question 23 23. Which image shows the following figure rotated 180° about the origin?

#### Question 24 24. In a reflection, each point of the image is _____ as the preimage.

#### Question 25 25. What is the degree of rotation for an object that has an order of 10?

### Page 6

#### Question 26 26. In a glide reflection, do we perform the translation or the reflection first?

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Question 27
27.
Test the following points for symmetry:

(2,3) (3,3) (3,4) (4,5) (-2,3) (-3,3) (-3,4) (-4,5)

#### Question 28 28. Segment LP = 3. Find the length of L'P' if LP is dilated with a scale factor of -4.

#### Question 29 29. When you are performing a translation in math, the initial object is called the ____ and the object after the translation is called the ____.

#### Question 30 30. Which type of transformation is shown here?

#### FTCE Middle Grades Math: Transformations in Geometry Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!