Question

If the triangle ABC is translated 2 units down and 3 units left, the relationship between the measure of ∠B and ∠B' can be represented as

• A. ∠B < ∠B'
• B. ∠B > ∠B'
• C. ∠B = ∠B'

Answer 1

The correct option is C ∠B = ∠B'

We have to move the figure 2 units down and 3 units to the left.

Co-ordinate of point A in triangle
ABC = (1,0)

After moving 2 units down and 3 units to the left, new co-ordinate of
point A = (-2,-2)
Let us represent this point by A'.

Similarly, for the point B, new co-ordinate of point B' = (-2,0)

Similarly, for the point C, new co-ordinate of point C' = (-2,1)

On translating the triangle ABC 2 units down and 3 units to left, the new triangle A'B'C obtained will be:


Here, since the triangles ABC and A'B'C' are congruent, so the angle remains unchanged.

∴ ∠B = ∠B'