Geometric transformations (translation) — KCSE Mathematics
KCSE Mathematics · 110 practice questions · 3 syllabus objectives
What You'll Learn
Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.
Describe a translation using a column vector; find the image of a point or shape under a given translation
Find the translation vector that maps one point or shape to another; combine two successive translations
Geometric transformations (translation)
Sample Questions
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A point A(3, 4) is translated by the vector (2, -1). (a) State the coordinates of the image A' after the translation. (2 marks) (b) If point B(1, 2) undergoes the same translation, find the coordinates of the image B'. (2 marks)
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Triangle DEF has vertices D(2, 3), E(4, 5), and F(6, 7). State the coordinates of the image D'E'F' after a translation by the vector (3, -2). (3 marks)
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Triangle PQR has vertices P(30, 88), Q(34, 50) and R(22, 82). (a) Find the image P'Q'R' under translation by vector (23, 34). [2 marks] (b) Find the translation vector that maps P to P' where P'= (54, 89). [1 mark]
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Triangle PQR has vertices P(23, 26), Q(73, 49) and R(22, 11). (a) Find the image P'Q'R' under translation by vector (49, 99). [2 marks] (b) Find the translation vector that maps P to P' where P'= (50, 20). [1 mark]
Why Practise Geometric transformations (translation)?
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