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Similar figures and scale factors

DIFFICULTYintrostandardchallengeexam
Question 1 of 8

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The measurements below describe original Figure A and image Figure B for a pair of garden-plan outlines

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

Figure A: width 1 m; height 2 m

Figure B: width 2 m; height 4 m

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 m wide and 1 m high

Figure A (original)

Figure A is a rectangle with vertices (0, 0), (1, 0), (1, 2) and (0, 2); its width is 1 m, its height is 2 m, and all four angles are 90°.-11230-112345mm

Figure B (image)

Figure B is a rectangle with vertices (0, 0), (2, 0), (2, 4) and (0, 4); its width is 2 m, its height is 4 m, and all four angles are 90°.-11230-112345mm
(a)1 mark

Choose the valid similarity verdict with its deciding reason

(b)1 mark

Find the scale factor from Figure A to Figure B. Give an exact fraction in lowest terms if required

Format: Exact value