Question

Identify the translation rule on a coordinate plane that verifies that triangle A(-5,1), B(-2,7), C(0,1) and triangle A'(-3,2), B'(0,8), C'(2,2) are congruent.
A) (x, y) → (x - 1, y + 2)
B) (x, y) → (x + 2 , y + 1)
C) (x, y) → (x - 2, y + 1)
D) the triangles are not congruent

Answer 1

Answer:

The answer is B.

Explanation:

(x, y) → (x + 2, y + 1) is correct.

Every point of a figure is moved the same distance in the same direction to form the new figure. Translation does not change the size or shape, angles or line lengths of a figure.

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Answer 2

The answer is B
first, look at all the x coordinates:
-5+2=-3, -2+2=0, 0+2=2
then, look at all the y coordinates:
1+1=2, 7+1=8, 1+1=2

All the three points are translated in the same way, that is, right 2 units, up 1 unit. the two triangles are congruent.