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Similar figures and scale factors

DIFFICULTYintrostandardchallengeexam
Question 1 of 8

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Figure A is the original and Figure B is the image in a pair of rectangles

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

Figure A: width 3 m; height 4 m

Figure B: width 12 m; height 16 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, 4) and (0, 4); its width is 3 m, its height is 4 m, and all four angles are 90°.369120246810121416mm

Figure B (image)

Figure B is a rectangle with vertices (0, 0), (12, 0), (12, 16) and (0, 16); its width is 12 m, its height is 16 m, and all four angles are 90°.369120246810121416mm
(a)1 mark

Which conclusion follows from the corresponding angles and side ratios?

(b)1 mark

What exact scale factor maps Figure A to Figure B?

Format: Exact value