The vertices of a trapezoid are located at (1, -2), (3, -1), (3, -
5), and (1, -4). The trapezoid is translated 3 units to the left and rotated 180° about the origin. What are the coordinates of its image

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Ответ:

blake2001

28.03.2023

Mathematics

12.686cm

Step-by-step explanation:

By using pythagoras, we can find CB.

We know that a^2+b^2=c^2

Therefore, 12^2-6^2=CB^2

$CB=\sqrt{108}$ (it has to be positive since it is distance)

now we look at triangle BCD and use SOH CAH TOA.

$Sin55=CB/CD\\Therefore, CD= 12.686$

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The vertices of a trapezoid are located at (1, -2), (3, -1), (3, - 5), and (1, -4). The trapezoid is translated 3 units to the left and rotated 180° about the origin. What are the coordinates of its image