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Similar figures and scale factors

DIFFICULTYintrostandardchallengeexam
Question 1 of 8

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A pair of packaging-panel outlines is recorded as original Figure A and image Figure B

Corresponding dimensions are named in the same order. Every stated length uses cm

Figure A: width 6 cm; height 9 cm

Figure B: width 12 cm; height 18 cm

Every angle in both figures is 90°, with corners corresponding in the listed order

Both grids use the same scale. Each small grid square is 1 cm wide and 1 cm high

Figure A (original)

Figure A is a rectangle with vertices (0, 0), (6, 0), (6, 9) and (0, 9); its width is 6 cm, its height is 9 cm, and all four angles are 90°.36912024681012141618cmcm

Figure B (image)

Figure B is a rectangle with vertices (0, 0), (12, 0), (12, 18) and (0, 18); its width is 12 cm, its height is 18 cm, and all four angles are 90°.36912024681012141618cmcm
(a)1 mark

Select the statement that checks the similarity conditions correctly

(b)1 mark

Determine the image-to-original length factor \(k\). Use a fraction in lowest terms if it is not whole

Format: Exact value