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Triangle PQR undergoes a series of rigid transformations and forms triangle STU. using only the give and no other calculations, which criteria can be used to prove triangle PQR is congruent to triangle STU

Triangle PQR undergoes a series of rigid transformations and forms triangle STU using only the give and no other calculations which criteria can be used

Answer :

We have two triangles that have two pair of congruent angles and one pair of congruent sides.

This correspond to the ASA (angle-side-angle) postulate, as the congruent side is between the two congruent angles.

Answer: Angle-side-angle congruence theorem.

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Rewritten by : Barada

Final answer:

To prove triangle PQR is congruent to triangle STU, we can use the distance criterion.

Explanation:

Congruence in geometry refers to the property of having the same size and shape. Two geometric figures are congruent if they are identical in size and shape, regardless of their orientation. To prove that triangle PQR is congruent to triangle STU, we can use the criteria for congruence, which are distance, angle, and side length.

Since we are given that the triangles undergo a series of rigid transformations, we can focus on the distance criterion. If the distance between points P and Q remains the same after the transformations, it shows that P and Q are corresponding vertices of congruent triangles. Therefore, the criteria for congruence can be used to prove that triangle PQR is congruent to triangle STU.

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