Geometric transformations (reflection) — KCSE Mathematics
KCSE Mathematics · 86 practice questions · 3 syllabus objectives
What You'll Learn
Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.
Reflect a point or shape in a given mirror line (x-axis, y-axis, y=x, y=–x, x=a, y=b)
Describe a reflection fully (state the mirror line) given an object and its image; determine invariant points
Geometric transformations (reflection)
Sample Questions
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A triangle PQR is reflected in the line x = 1 to give triangle P'Q'R'. (a) State the coordinates of P' if P is at (3, 2). (b) State the line of reflection. (c) Explain why points on the line of reflection remain unchanged after the transformation. (4 marks)
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A square ABCD is reflected in the line y = x to produce square A'B'C'D'. (a) State the coordinates of A' if A is at (2, 3). (b) Identify the invariant point for this reflection. (c) Explain how the orientation of square ABCD changes after the reflection. (4 marks)
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A point B(5, -3) is reflected in the line x = 1 to obtain point B'. (a) State the coordinates of B'. (b) What is the perpendicular distance from B to the line x = 1? (2 marks)
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Point A(3, 4) is reflected in the line y = 2 to create point A'. (a) State the coordinates of A'. (b) What is the perpendicular distance from A to the line y = 2? (2 marks)
Why Practise Geometric transformations (reflection)?
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