Answer:
<em>b)</em><em> 35°
</em>
Step-by-step explanation:
The complete question is described below:
<em>Suppose a triangle with angles measuring 30°, 35°, and 115º is translated 1 unit left and 1 unit up on a coordinate grid.</em>
<em>Which would be the measure of an angle of the resulting triangle?
</em>
<em>a)</em><em> 25°
</em>
<em>b)</em><em> 35°
</em>
<em>c)</em><em> 55°
</em>
<em>d)</em><em> 65°</em>
From Linear Algebra we define the translation by the following expression:
(1)
Where:
- Original point, dimensionless.
- Translated point, dimensionless.
- Translation vector, dimensionless.
According to the statement, every point of the given triangle uses the following operation:
![P'(x,y) = P(x,y) + (-1, 1)](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20P%28x%2Cy%29%20%2B%20%28-1%2C%201%29)
![P'(x,y) = (x-1, y+1)](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20%28x-1%2C%20y%2B1%29)
Hence, internal angles after translation conserve its initial values and the right answer is B.