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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 rectangles

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

Figure A: width 4 cm; height 5 cm

Figure B: width 12 cm; height 15 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), (4, 0), (4, 5) and (0, 5); its width is 4 cm, its height is 5 cm, and all four angles are 90°.369120246810121416cmcm

Figure B (image)

Figure B is a rectangle with vertices (0, 0), (12, 0), (12, 15) and (0, 15); its width is 12 cm, its height is 15 cm, and all four angles are 90°.369120246810121416cmcm
(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