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determine if it can be proven that the triangles are congruent if they are the choose a theorem that proves its congruent

determine if it can be proven that the triangles are congruent if they are the choose-example-1
User Sarin
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1 Answer

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Notice that the two triangles not only have congruent sides as marked with the ticks, but also have a common angle which is created by the intersection of two lines. In this intersection, angles opposed by the vertex are congruent.

Therefore the two triangles are congruent because they have corresponding equal sides and congruent angle in between those sides.

Then, the theorem that we apply for congruent is the Side Angle in between and Side Theorem (SAS) which agrees with the last answer option in your list.

User Bob Desaunois
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