Question

suppose a triangle with angles measuring 30° , 35° and 115° is translated 1 unit left and 1 unit up on a coordinate grid Which would be the measure of an angle of the triangle

Answer 1

b) 35°

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:

`P'(x, y) = P(x,y) + T(x,y)` (1)

Where:

`P(x,y)` - Original point, dimensionless.

`P'(x,y)` - Translated point, dimensionless.

`T(x,y)` - 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)`

`P'(x,y) = (x-1, y+1)`

Hence, internal angles after translation conserve its initial values and the right answer is B.