Based on the **side-angle-side congruence theorem (SAS)**,

Missing statement is: ΔHIK ≅ ΔHJK

Missing reason is: **SAS**

### What is the Side-Angle-Side Congruence Theorem (SAS)?

If there are two pairs of **congruent sides** and a pair of included corresponding **congruent angles** in two **triangles**, then based on the **side-angle-side congruence theorem (SAS)**, the two **triangles** are **congruent** to each other.

The two **triangles** have the following:

Two pairs of **congruent sides** which are: HI ≅ HJ, and HK ≅ HK

One pair of included corresponding **congruent angles** which is: <IHK ≅ <JHK.

This means that both **triangles** are **congruent triangles** based on **SAS**.

Therefore,

Missing statement is: ΔHIK ≅ ΔHJK

Missing reason is: **SAS**

Learn more about **SAS** on:

#SPJ1

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