sathvega27
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PLEASE HELP!!
Complete each statement from the information given and state the reasons and the triangle criterion you used. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and chose for a reason “Cannot be determined.”

a

Is ∆GAS ≅ △_____

By rule____

PLEASE HELPComplete each statement from the information given and state the reasons and the triangle criterion you used If the triangles cannot be shown to be c class=

Respuesta :

Answer:

ΔGAS ≅ ΔIOL By the Angle-Angle-Side (AAS) rule of congruency

Step-by-step explanation:

The given information are;

Statement                                  [tex]{}[/tex]                               Reason

Segment [tex]\overline {SA}[/tex] is congruent to [tex]\overline {OL}[/tex]              [tex]{}[/tex]As shown in the diagram provided

∠SAG is congruent to ∠LOI               [tex]{}[/tex]       As shown  in the diagram provided

∠SGA is congruent to ∠LIO               [tex]{}[/tex]       As shown  in the diagram provided

Therefore, ΔGAS ≅ ΔIOL By the Angle-Angle-Side (AAS) rule of congruency

Given that the the number of interior angles of triangle = 3 and the sum of the interior angles of a triangle = 180°, the third angle can be defined by specifying the measure of two of the angles

Therefore, the Angle-Angle (AA) rule of similarity can be used to prove the congruency of two triangles when they have one side of each triangle which are congruent.

erinck

Answer:

∆GAS ≅ △IOL By rule ASA, AAS

Step-by-step explanation:

By looking at the triangle, you can see two little quarter-circle things inside the triangle (I don't know what they are called). That means it has 2 angles.  We already know that it can't be SSS or SAS because we have 2 angles, as I said.

If you look at the triangle's sides, you can see that there is a side with a dash on it. That means that it is a side in ASA, AAS, etc. So there we go. We've figured it out. There is one side and two angles.  Therefore, our answer is ASA or AAS

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