Transformations Quiz

A square at position (2,3) is translated 3 units to the right and 1 unit up. What are the new coordinates?

• (5,4)

• (1,2)

• (2,4)

• (5,2)

Which of the following best describes a reflection?

• Sliding a shape without turning it.

• Flipping a shape across a line (mirror).

• Increasing the size of a shape.

• Rotating a shape around a point.

A triangle is rotated 90° clockwise about point P. Which is true?

• The triangle will be flipped left-to-right.

• The triangle’s shape and size remain the same but orientation changes.

• The triangle becomes a mirror image.

• The triangle doubles in size.

Match term to action:

• Translation → Move without turning.

• Rotation → Turn around a point.

• Reflection → Flip across a line.

• Enlargement → Make bigger/smaller (scale).

• Congruent → Same shape and size.

Show an image with a triangle and its image after a move. Ask: “Is this a translation, rotation or reflection?” (answer: Rotation 180°)

Draw a small square on a 4×4 grid at (1,1). Translate it 2 right and 1 up. Sketch the new position and write the coordinates (2 marks for correct sketch, 4 marks for coordinates & explanation). (Expected coords (3,2)).

Which transformation preserves size and shape but may change orientation?

• Translation

• Enlargement

• Rotation

• Shear

A reflection always produces an object congruent to the original.

• True

• False

Which real-life example is a rotation?

• Wheels on a bicycle turning.

• Moving a desk across the room without turning.

• Looking at yourself in a mirror.

• Growing plant taller.

A rectangle has corners at (1,1),(3,1),(3,2),(1,2). If we reflect it across the vertical line x=4, what are the new x-coordinates? (Give explanation: each x maps to x' where distance to line is preserved. Expected new x’s: 7 and 5; full credit for correct mapping and explanation.)