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01.07.2021 15:21
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Cara menyelesaikan masalah obesiti di peringkat sekolah​

Cara menyelesaikan masalah obesiti di peringkat sekolah​
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Nicoleebel1386
Nicoleebel1386
4,8(61 marks)
Yuh get it ig

explanation:

:o
dbailey6190
dbailey6190
4,4(14 marks)

\triangle ABC\sim \triangle DEC\\ \\\angle B\cong \angle E\\ \\3BC=2EC

Step-by-step explanation:

Right triangle ABC is reflected over AC to form triangle AFC.

Triangle AFC dilated by a scale factor of two-thirds to form triangle DEC.

Reflection is a rigid transformation which preserves lengths and angles, then

\triangle ABC\cong \triangle AFC

Dilation is a transformation which maps the triangle into similar triangle, so

\triangle AFC \sim \triangle DEC

Thus,

\triangle ABC \sim \triangle DEC

Similar triangle have congruent corresponding angles, so

\angle B\cong \angle E

and proportional corresponding sides

\dfrac{BC}{EC}=\dfrac{AB}{DE}=\dfrac{2}{3}\Rightarrow \\ \\3BC=2EC\\ \\3AB=2DE

Thus, correct options are:

\triangle ABC\sim \triangle DEC\\ \\\angle B\cong \angle E\\ \\3BC=2EC


Right triangle ABC is reflected over AC, then dilated by a scale factor of Two-thirds to form triang

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