### Home > INT2 > Chapter 2 > Lesson 2.1.3 > Problem2-31

2-31.

Determine whether or not the triangles in each pair below are congruent. Justify your conclusion with a triangle congruence theorem. Homework Help ✎

 a. Hint (a):Find the lengths of the missing sides using the Pythagorean Theorem.Answer (a):Congruent by $\text{HL} ≅, \text{SSS} ≅, \text{SAS} ≅$. b. Hint (b):What do the tick marks on the angles and sides mean? c. Hint (c):Do the tick marks prove the triangles are congruent, or is more information needed?Answer (c):They are not necessarily congruent. There is no such thing as $\text{SSA} ≅$. d. Hint (d):Does the fact that they share a side help prove they are congruent?