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Similar figures and scale factors

DIFFICULTYintrostandardchallengeexam
Question 1 of 8

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A pair of rectangles is recorded as original Figure A and image Figure B

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

Figure A: width 3 m; height 5 m

Figure B: width 12 m; height 20 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), (3, 0), (3, 5) and (0, 5); its width is 3 m, its height is 5 m, and all four angles are 90°.3691202468101214161820mm

Figure B (image)

Figure B is a rectangle with vertices (0, 0), (12, 0), (12, 20) and (0, 20); its width is 12 m, its height is 20 m, and all four angles are 90°.3691202468101214161820mm
(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