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2 (a) Reflect the triangle in the mirror line - OCR - GCSE Maths - Question 2 - 2020 - Paper 1
Question 2
2 (a) Reflect the triangle in the mirror line. (b) Rotate the triangle 90° clockwise about the point P.
Worked Solution & Example Answer:2 (a) Reflect the triangle in the mirror line - OCR - GCSE Maths - Question 2 - 2020 - Paper 1
Step 1
Reflect the triangle in the mirror line.
Answer
To reflect the triangle in the mirror line, identify the corresponding points of the triangle on the opposite side of the mirror line. For each vertex of the triangle, measure the perpendicular distance to the mirror line and mark a point an equal distance away from the line on the opposite side. Connect these reflected points to form the new triangle.
Step 2
Rotate the triangle 90° clockwise about the point P.
Answer
To rotate the triangle 90° clockwise about point P, visualize or sketch a quarter turn movement. Each vertex of the triangle should be moved to a new location, taking point P as the pivot. The new coordinates for each vertex can be calculated based on their original coordinates with the transformation: if the original vertex is at (x, y), the new position after rotation will be at (P_x - (y - P_y), P_y + (x - P_x)). Connect these new vertices to form the rotated triangle.