AquetzalliB408772 AquetzalliB408772
  • 03-11-2022
  • Mathematics
contestada

Drag and drop a phrase to make the statement true. TrianglesABC and DEF are Response area.similar or not similar

Drag and drop a phrase to make the statement true TrianglesABC and DEF are Response areasimilar or not similar class=

Respuesta :

KarellyI745143 KarellyI745143
  • 03-11-2022

Solution:

Given two triangles;

Triangle ABC and DEF are similar only if;

[tex]\begin{gathered} \angle A\cong\angle D \\ \angle B\cong\angle E \\ \angle C\cong\angle F \end{gathered}[/tex]

Thus, we have;

[tex]\begin{gathered} \angle A=180^o-80^o-60^o \\ \angle A=40^o=\angle D \end{gathered}[/tex]

Also,

[tex]\angle B=\angle E=80^o[/tex]

Also,

[tex]\begin{gathered} \angle F=180^o-80^o-40^o \\ \angle F=60^o=\angle C \end{gathered}[/tex]

FINAL ANSWER: Triangle ABC and DEF are similar triangles

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