Answer:
b) 35°
Step-by-step explanation:
The complete question is described below:
Suppose a triangle with angles measuring 30°, 35°, and 115º is translated 1 unit left and 1 unit up on a coordinate grid.
Which would be the measure of an angle of the resulting triangle?
a) 25°
b) 35°
c) 55°
d) 65°
From Linear Algebra we define the translation by the following expression:
[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point, dimensionless.
[tex]P'(x,y)[/tex] - Translated point, dimensionless.
[tex]T(x,y)[/tex] - Translation vector, dimensionless.
According to the statement, every point of the given triangle uses the following operation:
[tex]P'(x,y) = P(x,y) + (-1, 1)[/tex]
[tex]P'(x,y) = (x-1, y+1)[/tex]
Hence, internal angles after translation conserve its initial values and the right answer is B.
