Mathematics, 23.02.2021 01:30 lovelyheart5337
Identify the correct explanation for why the triangles are similar. Then find BG and CD.
Options:
A. Since BG¯¯¯¯¯∥CD¯¯¯¯¯, ∠G≅∠A, ∠GBA≅∠DCA by the Alt. Int. ∠s Thm. Therefore, △GBA∼△DCA by AA∼. BG=50 and CD=20.
B. ∠A≅∠A by the Reflex Prop. of ≅. Since BG¯¯¯¯¯∥CD¯¯¯¯¯, ∠GBA≅∠DCA by the Corr. ∠s Post. Therefore, △GBA∼△DCAby AA∼. BG=50 and CD=20.
C. ∠A≅∠A by the Reflex Prop. of ≅. Since BG¯¯¯¯¯∥CD¯¯¯¯¯, ∠GBA≅∠DCA by the Corr. ∠s Post. Therefore, △GBA∼△DCAby AA∼. BG=20 and CD=50.
D. Since BG¯¯¯¯¯∥CD¯¯¯¯¯, ∠G≅∠A, ∠GBA≅∠DCA by the Alt. Int. ∠s Thm. Therefore, △GBA∼△DCA by AA∼. BG=20 and CD=50.
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Identify the correct explanation for why the triangles are similar. Then find BG and CD.
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