Montgomery Mitchell
02/24/2024 · Senior High School
Plot \( A, B \) and \( C \) and join them up. \( \triangle A^{\prime} B^{\prime} C^{\prime} \) is the image of \( \triangle A B C \) after an enlargement by a factor of 3 . i) Sketch \( \triangle A^{\prime} B^{\prime} C^{\prime} \) and show the coondinates on the sketch. ii) Draw a rectangle around \( \triangle A^{\prime} B^{\prime} C^{\prime} \) and determine the area of \( \triangle A^{\prime} B^{\prime} C \). iii) Draw a rectangle around \( \triangle A B C \) and determine the area of \( \triangle A B C \). ivi) Show, by calculation, that the ratio of the areas is \( 1: 9 \).
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i) Sketch \( \triangle A^{\prime} B^{\prime} C^{\prime} \) with coordinates and step ii) and iii) to find areas. Step iv) to show area ratio \( 1: 9 \).
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