When you move a shape via rigid transformations, the dimensions of the shape do not change.
Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
You can rotate A.ABC' clockwise to get 4.A' B'C" . Finally you can translate A4' B'C"' down to become AA" B"C" 2019 StrongMind.
When two triangles are congruent to each other, each triangle has six parts (three angles and three sides) that are congruent to those six parts of the other triangle.
When you move a shape via rigid transformations, the dimensions of the shape do not change.
This includes translation and rotation. Since the size or measure of any of the side lengths or angles is not changing when you move the shape,
the only way that you can match one shape onto another with rigid transformations is if all of the corresponding sides and angles are congruent.
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