Answered

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Select the reason why these triangles are
similar. If they are not, select "Not similar".
A. AA
B. SAS
C. SSS
D. Not similar

Select The Reason Why These Triangles Are Similar If They Are Not Select Not Similar A AA B SAS C SSS D Not Similar class=

Sagot :

Answer:

The reason why these triangles are similar is;

A. AA

Step-by-step explanation:

A two column proof can be presented using the drawing of the question diagram created with Microsoft Visio as follows;

Statement      [tex]{}[/tex]                  Reason

[tex]\overline {AB}[/tex] ║ [tex]\overline {DE}[/tex]   [tex]{}[/tex]                      Given

∠ACB ≅ ∠DCE       [tex]{}[/tex]         Vertically opposite angles

∠BAC ≅ ∠DEC       [tex]{}[/tex]         Alternate interior angles theorem

∠ABC ≅ ∠CED       [tex]{}[/tex]         Alternate interior angles theorem

ΔABC ~ ΔCDE        [tex]{}[/tex]         By Angle-Angle (AA) similarity postulate

Therefore, the correct option is AA.

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