If a series of rigid transformations maps ∠F onto ∠C where ∠F is congruent to ∠C, then which of the following statements is true

Question

3 years ago

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If a series of rigid transformations maps ∠F onto ∠C where ∠F is congruent to ∠C, then which of the following statements is true

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triangles ABC and FDE, in which angles A and D are right angles

ΔABC ~ ΔFDE because of the definition of similarity in terms of similarity transformations
ΔABC ~ ΔFDE because of the AA similarity postulate
segment BC ~ segment EF because of the definition of similarity in terms of similarity transformations
segment BC ~ segment EF because corresponding parts of similar triangles are proportional

Mathematics

1 answer:

navik [9.2K] · Answer 1 · 2022-06-05T06:31:01+03:00

Answer:

D. segment BC ~ segment EF because corresponding parts of similar triangles are proportional

Step-by-step explanation:

Rigid transformations is a process which can be used to either enlarge, reduce, resize a given object. Examples are: translation, reflection, rotation etc.

Given that ∠F is congruent to ∠C in the question, this implies that ΔABC is similar to ΔFDE. Thus a scale is required to map the two triangles exactly into one another. Therefore, the statement that is true is segment BC ~ segment EF because corresponding parts of similar triangles are proportional.