Triangle ABC is congruent to A'BC' by the HL theorem.

Point H is the midpoint of side FK.
The triangles are congruent by the SSS congruence theorem.

The triangles are congruent by the SSS congruence theorem.

The triangles shown are congruent by the SSS congruence theorem.

The triangles are congruent by SSS and HL.

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The triangles are congruent by the SSS congruence theorem.

Triangles S U V and R U W are connected at point U. Angles S U V and W U T are right angles. The length of hypotenuse S V is 2 x + 9 and the length of hypotenuse W T is 4 x minus 1. Sides V U and U W are congruent.
Triangles F G H and F J H share common side F H. Sides F G and G H are congruent. Sides F J and J H are congruent.

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