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Which sides of the isosceles triangle are congruent?
side SR is congruent to side ST because of the isosceles triangle theorem.

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Is triangle CAB congruent to triangle ZXY?
They can not be proven congruent because angle-side-side is not a theorem.

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Is triangle BCA is congruent to triangle ECD?
Yes, they ar congruent by ASA
<BCA ≅ <ECD
segment CA ≅  segment CD
<BAC ≅ < EDC

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use HL theorem when...
-There are two right triangles
- The triangles have congruent hypotenuses
- There is one pair of congruent legs

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The other two sides of a triangle besides the hypotenuse

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In a right triangle, the side opposite of the right angle is the hypotenuse. It is also the longest side of the triangle.

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If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

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If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.