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To prove overlapping triangles congruent, you look for the common or shared sides and angles

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To prove overlapping triangles congruent, you look for the common or shared sides and angles

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If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent

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Equilateral triangles are also equal angular

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Converse of the isosceles triangle theorem

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Converse of the isosceles triangle theorem

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If two angles are congruent, then the sides opposite the angle are congruent

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If two sides of a triangle are congruent, then the angles opposite to those sides are also congruent

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Once you know that triangles are congruent, you can make conclusions about corresponding sides and angles, because by definition, corresponding parts of congruent triangles are congruent.

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two angles and a non included sides

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two angles and an included side

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two sides and an included angle

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three sides

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You can prove triangles congruent with limited information about their congruent sides and angles.

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have congruent corresponding parts. When you name congruent polygons, always list corresponding verticals in the same order.