Question bank: Translations of Plane Figures

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Question 1:

Medium

João is helping his sister decorate her living room using a star-shaped sticker pattern. He wants to find a figure that has been obtained by translation symmetry from an initial star. Given the options below, which one represents a star obtained by translation symmetry in relation to the initial star?

Translations of Plane Figures

Question 2:

Medium

João was observing a mosaic on the floor and noticed that some of its repetitive patterns were formed using translations. Given that one of the patterns is a rectangle 4 cm wide and 6 cm high, what would be the final coordinate of point A(2, 3) after it is translated 3 times to the right and 2 times upwards?

Translations of Plane Figures

Question 3:

Hard

Consider a triangle ABC in the Cartesian plane, where A = (2,3), B = (6,3) and C = (4,7). This triangle represents the sail of a boat at a certain moment in time. After a gust of wind, the sail moves and the new triangle formed ABC' is a translation of triangle ABC upwards and to the right. The sail now occupies the position of a new point D which is above A and aligned with B, that is, D = (6,5). Considering the context of a sailing competition, where knowledge of the sail's position is essential for navigation strategy, answer: (1) What is the distance traveled by point C to the new position C' after the translation? (2) Explain how the application of the concept of translation is fundamental to predict the new position of the sail and how Mathematics, together with knowledge of winds and sea currents, can be used to optimize the boat's route.

Translations of Plane Figures

Multidisciplinary Question

Question 4:

Medium

What is the definition of translation in plane geometry?

Translations of Plane Figures

Question 5:

Medium

What is the definition of translation in plane geometry?

Translations of Plane Figures

IARA TIP

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