Shape and Space 5
2 marks · EasyA triangle has vertices at (1, 2), (3, 2) and (1, 4). It is translated by the vector .
Write the coordinates of the image of the vertex (1, 2) after the translation.
State one property of the triangle that is unchanged by this translation.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
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(a) (5, 2)
(b) Side lengths / angles / shape / area / orientation (any one valid property)
Common mistakes: Adding vector backwards (subtracting)
Show mark scheme and worked solution
Marking points
A1 (a) · 1 mark · A1: States (5, 2)
B1 (b) · 1 mark · B1: States any correct invariant (side lengths, angles, shape, area, or orientation)
Worked solution
a) To translate by , add 4 to the x-coordinate: (1 + 4, 2 + 0) = (5, 2).
b) Translation does not change side lengths, angles, area, or shape – the triangle remains congruent to the original.