Igcse Model Questions Vol1 2019 Mathematics Question 13

Practice objective / multiple choice question 13 from the 2019 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2019 Mathematics Objective / Multiple Choice Hard Difficulty
Question 13 IGCSE_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • objective

Triangle \(ABC\) has vertices \(A(2,1)\), \(B(5,1)\) and \(C(5,4)\). It is first reflected in the line \(y=x\), then rotated \(90^{\circ}\) clockwise about the origin, and finally translated by the vector \((3,-2)\). (i) Find the coordinates of the image of point \(C\). (ii) Describe the single transformation that maps triangle \(ABC\) directly onto its final position.

Answer Options

A. Image of C: (6, -6); Overall transformation: rotation 90 clockwise about the origin followed by translation (3, -2)
B. Image of C: (8, -4); Overall transformation: reflection in the y‑axis followed by translation (3, -2)
Correct Answer C. Image of C: (8, -6); Overall transformation: reflection in the x‑axis followed by translation (3, -2)
D. Image of C: (8, -6); Overall transformation: reflection in the x‑axis followed by translation (2, -3)
Correct Answer
C
Correct Option:
Image of C: (8, -6); Overall transformation: reflection in the x‑axis followed by translation (3, -2)

About This Question

This is Igcse Model Questions Vol1 2019 Mathematics Question 13. It is one of the objective questions from the 2019 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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