Question

What is a correct congruence statement for the triangles shown?

Answer 1

For this one, look at the symbols inside each angle.  In math, the rounded edges inside of angles mean they are congruent.  So find which ones have the same amount of rounded edges and that would be your answer.

NKW ≅ UZE

put the corresponding angles in the middle.  Since the object you were comparing to had the one line as the middle point, then that is your middle as well.

Hope this helps! Comment with any questions you may have.

Answer 2

Answer:

$\Delta UZE\cong \Delta NKW$

Step-by-step explanation:

We have been given a graph of two triangles and we are asked to find the correct congruence statement for our given triangles.

We can see in triangle NKW and triangle UZE.

$EZ\cong WK$,

$\angle ZEU\cong \angle KWN$,

$\angle UZE\cong \angle NKW$.

Since two angles and included side of triangle NKW is congruent to two angles and their included side of triangle UZE, therefore, $\Delta UZE\cong \Delta NKW$ by Angle-Side-Angle congruence theorem.