Question

Graph a triangle ABC and perform a translation of (x + 4, y − 3) to create triangle A′B′C′.

Answer 1

The new angle A 'B' C will be congruent to angle  A,B,C, as it was just moved or shifted  lightly 4 times and down 3 times.

What is the angle about?

Lets make A B C to be the angles that has coordinate.

So

A = (0,0)

B = (-3, 0)

C = (0, 4)

On translation of (x + 4, y - 3 ) the new angle A'B'C' will have new coordinate and as such, it will be:

A' = (0 + 4, 0 - 3)

B' = (-3 + 4, 1 - 3)

C' = (0 + 4, 4- 3)

So it will be:

A' = (4, -3)

B' = (1, -2)

C' = (4, 1)

Therefore, The new angle A 'B' C will be congruent to angle  A,B,C, as it was just moved or shifted  lightly 4 times and down 3 times.

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