Question about Translations of Plane Figures
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Translations of Plane Figures
Translations of Plane Figures
Difficulty Easy
Easy
(Originais Teachy 2024) - Question Easy of Mathematics
During an Arts class, students were challenged to create colorful geometric patterns using paper triangles. João decided to create a pattern using an initial triangle and applying a sequence of translations to create a more complex design. João's initial triangle has sides measuring 6 cm, 8 cm, and 10 cm, and he wants to translate this triangle horizontally to the right, always maintaining the same orientation, so that the translated triangles fit perfectly, sharing one side. If João intends to create a pattern that has a total of 5 triangles after the translations, what is the horizontal distance he should move each triangle to form the complete pattern? Consider that there is no overlap between the triangles and that João started drawing the pattern with the lower left vertex of the initial triangle coinciding with the lower left vertex of the paper.a.
The horizontal distance that João should move each triangle to form the complete pattern is 6 cm.
b.
The horizontal distance that João should move each triangle to form the complete pattern is 8 cm.
c.
The horizontal distance that João should move each triangle to form the complete pattern is 12 cm.
d.
The horizontal distance that João should move each triangle to form the complete pattern is 10 cm.
e.
The horizontal distance that João should move each triangle to form the complete pattern is 24 cm.
Answer sheet:
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Answer sheet
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