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Similar figures and scale factors

DIFFICULTYintrostandardchallengeexam
Question 1 of 8

Calculator allowed

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 cm

Figure A: width 4 cm; height 5 cm

Figure B: width 16 cm; height 20 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°.369121502468101214161820cmcm

Figure B (image)

Figure B is a rectangle with vertices (0, 0), (16, 0), (16, 20) and (0, 20); its width is 16 cm, its height is 20 cm, and all four angles are 90°.369121502468101214161820cmcm
(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