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Gennadij [26K]
2 years ago
9

Kenneth has 22 math problems to do for homework. He

Mathematics
1 answer:
grin007 [14]2 years ago
5 0
Kenneth has 10 problems left because 22-12=10
If he does 1 problem every minute it will take him ten minutes
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Give two different sequences of three transformations that would map PQR onto EFG given that PQR=EFG.
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Answer:

  1. Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
  2. Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E

Step-by-step explanation:

The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.

The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.

__

<em>Additional comment</em>

The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.

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