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MathematicsGrade 6en

🔀 Transformations & Congruence

Master the geometry of transformations! Learn how to translate, reflect, and rotate shapes on a coordinate grid while preserving congruence. Explore which properties stay the same and which change, compose multiple transformations, and predict outcomes with confidence. What you'll learn: - Perform translations, reflections, and rotations on coordinate grids - Identify which shape properties remain congruent after transformations - Distinguish between preserved and changed attributes - Compose multiple transformations and predict final positions

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Questions in this quiz

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  1. Question 1

    Point A is located at (3,4)(3, 4) on a coordinate grid. If Point A is translated 5 units left and 2 units down, what are the new coordinates?

  2. Question 2

    Which of the following properties is ALWAYS preserved when a shape is reflected across a line?

  3. Question 3

    A rotation of a shape by 180° around the origin always maps each point (x,y)(x, y) to the point (−x,−y)(−x, −y).

  4. Question 4

    Triangle ABC has vertices at A(1,1)A(1, 1), B(4,1)B(4, 1), and C(2,3)C(2, 3). If the triangle is rotated 90° clockwise around the origin, what are the new coordinates of vertex B?

  5. Question 5

    Two shapes are congruent. Which transformation could NOT have been used to create one shape from the other?

  6. Question 6

    When a quadrilateral is reflected across the y-axis, the area of the reflected shape is different from the area of the original shape.

  7. Question 7

    A rectangle with vertices at (0,0)(0, 0), (5,0)(5, 0), (5,3)(5, 3), and (0,3)(0, 3) is translated 2 units right and 4 units up. Which vertex is now located at (7,7)(7, 7)?

  8. Question 8

    Which transformation results in a shape that is a mirror image of the original?

  9. Question 9

    After rotating a shape 360° around any point, the shape returns to its original position and orientation.

  10. Question 10

    Pentagon ABCDE is reflected across the x-axis. Which statement about the reflected pentagon is true?

  11. Question 11

    A shape is first translated 3 units right, then reflected across the y-axis. Starting from a vertex at (2,5)(2, 5), where is this vertex after both transformations?

  12. Question 12

    A 270° clockwise rotation is equivalent to a 90° counterclockwise rotation.

  13. Question 13

    When a shape is translated, which of the following DOES change?

  14. Question 14

    A right triangle has legs of length 3 and 4 units, and a hypotenuse of length 5 units. After a 180° rotation around the origin, what is the length of the hypotenuse?

  15. Question 15

    If a shape is reflected across the x-axis, then across the y-axis, the result is the same as rotating the original shape 180° around the origin.