Question

If Triangle D K L is congruent to triangle P V X, which of the following statements must also be true? Check all that apply.
Triangle L K D is congruent to triangle X V P
Triangle V P X is congruent to triangle K D L
Triangle V P X is congruent to triangle D L K
Angle D is congruent to angle P
Segment D L is congruent to segment P V

Answer 1

If Triangle D K L is congruent to Triangle P V X, then the corresponding parts of these triangles must also be congruent. This means that the following statements must also be true:

1. **Triangle L K D is congruent to triangle X V P** - **True** (This is true because the order of the vertices can be reversed, and still preserve the congruency.)
2. **Triangle V P X is congruent to triangle K D L** - **True** (Since triangle D K L is congruent to triangle P V X, this statement is also true as it is just written in a different order.)
3. **Triangle V P X is congruent to triangle D L K** - **True** (This can also be considered true as the vertices correspond accordingly.)
4. **Angle D is congruent to angle P** - **True** (By the definition of congruent triangles, corresponding angles are congruent.)
5. **Segment D L is congruent to segment P V** - **True** (By the definition of congruent triangles, corresponding sides are also congruent.)

Thus, all five statements must be true when triangles D K L and P V X are congruent.