Similar Figures (VCE SSCE General Mathematics): Quizzes

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Similar Figures
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What is the main characteristic of similar figures?

Same shape, different size

Which two conditions must polygons meet to be similar?

Equal angles & proportional sides

Two rectangles have side ratios 6:36:3 and 4:24:2. Are the sides proportional?

Yes, both simplify to 2:12:1

What is the formula for scale factor kk of lengths?

k=2nd length1st lengthk = \frac{\text{2nd length}}{\text{1st length}}

If a scale factor is 0.50.5, what type of scaling occurred?

Scaling down

If lengths scale by factor kk, what is the area scale factor?

k2k^2

If the length scale factor is 55, what is the area scale factor?

2525

Two similar rectangles have sides 2525 cm and 55 cm. What is the scale factor?

55

Triangle areas are 66 cm² and 5454 cm². What is the area scale factor?

99

For similar triangles, if x18=1024\frac{x}{18} = \frac{10}{24}, what is xx?

7.57.5

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