Test: Position and Transformation - Year 7 MCQ

Enlargement is a transformation that scales a shape proportionally, preserving its angles and shape.

Reflection is a transformation that creates a mirror image of a shape over a line called the line of reflection.

Translation is a transformation where a shape is slid to a new position without rotating or resizing it.

Rotation is a transformation where a shape is turned around a fixed point called the center of rotation.

Enlargement (or reduction) changes the size of a shape by scaling it up or down proportionally.

Translation moves a point without changing its size or orientation. Moving 2 units to the right adds 2 to the x-coordinate (3 + 2 = 5), and moving 1 unit down subtracts 1 from the y-coordinate (5 - 1 = 4). Thus, point A(3, 5) becomes (5, 4).

Reflecting a point over the y-axis changes the sign of the x-coordinate while keeping the y-coordinate the same. For point B(-2, 1), the x-coordinate becomes -(-2) = 2, and the y-coordinate remains 1. Thus, the new coordinates are (2, 1).

Rotating a point 90 degrees clockwise around the origin transforms (x, y) to (y, -x). For point A(3, 5), the new coordinates are (5, -3).

Dilation with a scale factor of 2 multiplies both coordinates of a point by 2. For point B(-2, 1), the new coordinates are (-2 × 2, 1 × 2) = (-4, 2).

Translation moves a point without changing its size or orientation. Moving 4 units left subtracts 4 from the x-coordinate (3 - 4 = -1), and moving 3 units up adds 3 to the y-coordinate (5 + 3 = 8). Thus, the vertex at (3, 5) becomes (-1, 8).