Respuesta :
Answer:
The corresponding angles in ABC and DEFR equal. If two triangles are similar, it means one can be mapped onto the other using a dilation and one or more rigid transformations. Both dilations and rigid transformations preserve all angle measurements. So, any combination of a dilation in a rigid transformation also preserve angle measures
Step-by-step explanation:
Plato
In similar triangles, angle corresponding to adjacent sides are equal.
What are similar triangle?
"Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
In short, Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Property 1:
Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.
Property 2:
If the corresponding angles of two triangles are equal, then the triangles are similar. They are called equiangular triangles. A famous Greek mathematician Thales gave an important result relating to two equiangular triangles. He used a result called the Basic Proportionality Theorem, which is known as the Thales Theorem."
In similar triangles,
Two pairs of corresponding angles are equal.
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