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Ivahew [28]
4 years ago
6

How do I do these 4 geometry please help

Mathematics
1 answer:
julsineya [31]4 years ago
8 0

Answer:

7) Similar; 8) not similar; 9) ⅔; 10) ⅘

Step-by-step explanation:

Two polygons are similar if

  • their corresponding angles are congruent and
  • the ratios of their corresponding sides are equal

7) Trapezoids

Corresponding angles are congruent.

\dfrac{30}{12} = \dfrac{15.5}{6.2} = \dfrac{40 }{16}} = \dfrac{5}{2}

Corresponding sides are in the same ratio, so the trapezoids are similar.

8) Rectangles

Corresponding angles are congruent.

\text{Ratio of bases} =\dfrac{42}{35} = \dfrac{7}{5}\\\\\text{Ratio of sides} =\dfrac{24}{25}

The ratios are different, so the rectangles are not similar.

In similar polygons, the ratio of the lengths of their corresponding sides (the scale factor) is the same.

9. Quadrilaterals

\text{Scale factor} = \dfrac{10}{15} = \mathbf{\dfrac{2}{3}}

10. Trapezoids

\text{Scale factor} = \dfrac{16}{20} = \mathbf{\dfrac{4}{5}}

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