Math Grade 8 Quiz Geometric Transformations: Parallel Lines Properties - 8.G.A.1.C | Tutorified.com Quizzes

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Math Grade 8 Quiz Geometric Transformations: Parallel Lines Properties – 8.G.A.1.C

In the real of geometry, parallel lines are two or more lines that never intersect, regardless of how far they extend. One of the intrinsic properties of geometric transformations, including rotations, reflections, and translations, is that they preserve the parallelism of lines. Hence, when parallel lines undergo a transformation, they remain parallel.

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Question 1 of 10

1. Question
What happens to parallel lines when they undergo a translation?
- A) They intersect.
- B) They remain parallel.
- C) They become perpendicular.
- D) They cease to be lines.
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Question 2 of 10

2. Question
If two parallel lines are reflected over a line, what can be said about their post-transformation state?
- A) They will intersect.
- B) They will remain parallel.
- C) One will be parallel, and the other will not.
- D) They will form a right angle with the reflecting line.
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Question 3 of 10

3. Question
When parallel lines undergo a 180° rotation about a point, what happens to them?
- A) They intersect.
- B) They diverge.
- C) They remain parallel.
- D) They get closer to each other.
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Question 4 of 10

4. Question
Which transformation ensures that parallel lines will always remain parallel?
- A) Dilation with a scale factor of 2
- B) Compression
- C) Reflection across the x-axis
- D) All of the above
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Question 5 of 10

5. Question
If two lines are not parallel and undergo a transformation, can they become parallel?
- A) Yes, always
- B) No, never
- C) Only if they are reflected
- D) Only if they are translated
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Question 6 of 10

6. Question
What property do parallel lines retain when subjected to any rigid transformation?
- A) Length
- B) Parallelism
- C) Distance from the origin
- D) Slope
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Question 7 of 10

7. Question
How do transformations affect the distance between parallel lines?
- A) They increase it.
- B) They decrease it.
- C) They keep it unchanged.
- D) They make the lines intersect.
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Question 8 of 10

8. Question
Why do parallel lines remain parallel after a reflection?
- A) Because they are equidistant from the reflecting line.
- B) Because they are perpendicular to the reflecting line.
- C) Because the angles of incidence and reflection are equal.
- D) Because they have the same slope.
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Question 9 of 10

9. Question
In which transformation is the parallelism of lines not always preserved?
- A) Translation
- B) Reflection
- C) Dilation
- D) Rotation
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Question 10 of 10

10. Question
If two parallel lines undergo different translations, will they still be parallel after the transformation?
- A) Yes
- B) No
- C) It depends on the direction of translation.
- D) Only if they are translated by the same distance.
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