To determine which congruence postulate applies to these triangles, let's analyze the given information.

1. Side $PQ = HJ = 8$
2. Angle $\angle P = \angle H = 27^\circ$
3. Side $PR = HK = 10$

This pattern fits the SAS (Side-Angle-Side) congruence postulate, as both triangles have two sides and the included angle congruent.

The correct answer is:

• SAS

Would you like more details on why SAS is applicable or have other questions?

Related Questions

1. What other postulates are commonly used to prove triangle congruence?
2. Why is ASS not a valid postulate for proving triangle congruence?
3. How does the ASA postulate differ from SAS in proving congruence?
4. Can AAA ever be used to prove that triangles are congruent? Why or why not?
5. What is the significance of the "included angle" in the SAS postulate?

Tip

When using congruence postulates, focus on identifying pairs of sides and angles and check for an included angle to decide if SAS applies.