Igcse Model Questions Vol1 2022 Mathematics Question 22

Practice objective / multiple choice question 22 from the 2022 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2022 Mathematics Objective / Multiple Choice Hard Difficulty
Question 22 IGCSE_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • objective

A point \(A(7,0)\) is transformed by the following sequence: (i) reflection in the line \(y=x\); (ii) a rotation of \(180^{\circ}\) about the point \((1,2)\); (iii) a dilation with centre at the origin and scale factor \(k\). The image of \(A\) after the three transformations is the point \(B(6,-9)\). (a) Determine the scale factor \(k\). (b) Using the same three transformations, find the image of the point \(C(-1,5)\). Give your answer as an ordered pair.

Answer Options

Correct Answer A. k = 3; image of C = (-9,15)
B. k = 3; image of C = (-9,14)
C. k = 2; image of C = (-6,10)
D. k = 4; image of C = (-12,20)
Correct Answer
A
Correct Option:
k = 3; image of C = (-9,15)

About This Question

This is Igcse Model Questions Vol1 2022 Mathematics Question 22. It is one of the objective questions from the 2022 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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