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Professor
Ezra
JordanRigid transformations, such as translations, reflections, and rotations, preserve the length, angle measures, and parallelism of geometric figures. By applying a combination of these transformations to two given figures, if the transformed figures coincide, then the original figures are congruent. This is because if two figures can be superimposed perfectly using rigid transformations, then their corresponding sides and angles have the same measures, establishing congruency.
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Can a corollary be used to prove a theorem?
Yes, the corollary to one theorem can be used to prove another theorem.
Which sequence of transformations could have been used to transform quadrilateral KJFG to produce quadrilateral?
KJFG, subjected to a rotation, reflection, enlargement, translation or any combination of one or more of these transformations result in a quadrilateral.
Who is known for transformations in maths?
Laplace' is known for transformations in math; as in a Laplace Transformation. Transformations are used extensively in matrix models in general equilibrium theory and econometrics such as Dominate Diagonal transforms. That is where I reached my level of incompetency; fond memories. See: Lionel McKinsey, Economic Theory and Matrices with Dominate Diagonals
What is an image in math?
It is the output of a function.A function is a mapping that associates an image to each pre-image. The term is often used in the context of transformations but need not be restricted to that use.It is the output of a function.A function is a mapping that associates an image to each pre-image. The term is often used in the context of transformations but need not be restricted to that use.It is the output of a function.A function is a mapping that associates an image to each pre-image. The term is often used in the context of transformations but need not be restricted to that use.It is the output of a function.A function is a mapping that associates an image to each pre-image. The term is often used in the context of transformations but need not be restricted to that use.
What theorem is used to prove a segment is a bisector?
A segment need not be a bisector. No theorem can be used to prove something that may not be true!
