Create a Quiz. The academic subject for which the text must be created - Mathematics. Content must be appropriate for Year or Grade 8. Requi...
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Which subjectMathematics
What age groupYear or Grade 8
What topicTransformations
Question typesOpen-ended
Number of questions10
Number of answers4
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Mathematics Quiz: Transformations for Grade 8

Welcome to your quiz on transformations! Please answer the following questions to the best of your ability.

Questions

  1. Define the term "translation" in the context of geometric transformations.

  2. When reflecting a figure over the y-axis, what is the relationship between the original and the reflected points' x-coordinates?

  3. Describe how a rotation of 90 degrees counterclockwise around the origin affects the coordinates of a point (x, y).

  4. What is the result of performing a dilation on a shape with a scale factor of 2? Describe how the dimensions of the shape change.

  5. If a triangle has vertices at A(2, 3), B(4, 5), and C(3, 1), what would be the coordinates of the triangle after a reflection over the x-axis?

  6. Explain the difference between reflection and rotation in geometric transformations.

  7. A square has vertices at (1, 1), (1, 3), (3, 3), and (3, 1). What are the new coordinates of the square after a translation 2 units to the right and 1 unit up?

  8. What is the effect of a transformation on the orientation of a shape when it is rotated 180 degrees?

  9. Define what is meant by the "center of dilation" in transformation geometry.

  10. How would you describe the effect on an object's size and shape if it is dilated by a factor less than 1?

Good luck!