Question

If the red arrow and the blue arrow are congruent, which of the following is/are correct?

• A. $x=y$
• B. $m\angle a=m\angle b.$
• C. $m\angle a=x$

Answer 1

Answer: (A), (B)

$m\angle a=m\angle b.$

When two shapes are congruent, they have the same size, and the angles subtended in the vertices will be equal.


Therefore, in this case, the heights of the two arrows will be equal, which means $y=x.$
Similarly, the angles subtended at the vertices will also be equal which means $m\angle a=m\angle b.$