Lesson Worksheet: Transformations Eleven Plus

In this worksheet, we will practice using and applying coordinate transformations involving reflections and translations.

Q1:

A triangle 𝐴𝐵𝐶 is shown on a coordinate grid.

The shape is reflected in a line, and the new position of point 𝐴 is (2,6).

What is the mirror line?

  • AThe horizontal line passing through (0,4)
  • BThe vertical line passing through (4,0)
  • CThe horizontal line passing through (2,6)
  • DThe vertical line passing through (2,6)
  • EThe vertical line passing through (0,4)

Q2:

Which of the following gives the correct reflection of a shape in a mirror line?

  • A
  • B
  • C
  • D
  • E

Q3:

Maria is translating the trapezium 𝐴𝐵𝐶𝐷 to 𝐴𝐵𝐶𝐷. She has drawn three of the four vertices of the new shape.

What will the coordinates of 𝐷 be?

  • A(1,2)
  • B(2,2)
  • C(3,1)
  • D(3,2)
  • E(2,1)

Q4:

Which of these shapes is a translation of shape S?

  • AB
  • BE
  • CD
  • DA
  • EC

Q5:

The shape is reflected in the mirror line.

What will the new coordinates of 𝐷 be?

  • A(7,1)
  • B(6,1)
  • C(1,6)
  • D(1,5)
  • E(5,1)

Q6:

Which of the following diagrams shows a rotation?

  • AC
  • BE
  • CA
  • DD
  • EB

Q7:

Triangle 𝐴𝐵𝐶 is shown on the coordinate grid below alongside its reflection.

In what line is triangle 𝐴𝐵𝐶 reflected?

  • AThe horizontal line that passes through the 𝑦-axis at (0,4)
  • BThe horizontal line that passes through the 𝑦-axis at (0,6)
  • CThe horizontal line that passes through the 𝑦-axis at (4,0)
  • DThe vertical line that passes through the 𝑥-axis at (5.5,0)
  • EThe vertical line that passes through the 𝑥-axis at (0,5.5)

Q8:

A shape 𝐴𝐵𝐶𝐷𝐸𝐹 is shown on the coordinate grid.

Following a reflection, the new position of point 𝐹 is (7,5).

In what line is the shape reflected?

  • AA vertical line that passes through the 𝑥-axis at (5,0)
  • BA horizontal line that passes through the 𝑦-axis at (0,4)
  • CA horizontal line that passes through the 𝑦-axis at (0,4.5)
  • DA vertical line that passes through the 𝑥-axis at (4,0)
  • EA vertical line that passes through the 𝑥-axis at (4.5,0)

Q9:

A triangle is drawn with corner 𝐴 at (0,0). All sides of the triangle are then doubled in length.

The new triangle is drawn with corner 𝐴 at (0,0) again.

Where will corner 𝐶 now be drawn?

  • A(4,6)
  • B(6,4)
  • C(6,6)
  • D(4,3)
  • E(4,5)

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