Question

given: $overline{fh} perp overline{gh}$; $overline{kj} perp overline{gj}$
prove: $\triangle fhg sim \triangle kjg$

identify the steps that complete the proof.

statements	reasons
2. $overline{kj} perp overline{gj}$	2. given
3. $angle fhg$ and $angle gjk$ are right angles	3. def. of perpendicular lines
4. $angle fhg cong angle gjk$	4. $\boldsymbol{downarrow}$
5. $angle fgh$ and $angle kgj$ are vertical angles	5. def. of vertical angles
6. $\boldsymbol{downarrow}$	6. vertical angles theorem
7. $\triangle fhg sim \triangle kjg$	7. $\boldsymbol{downarrow}$

Explanation:

Step1: Reason for Step4

All right angles are congruent.

Step2: Statement for Step6

$\angle FGH \cong \angle KGJ$

Step3: Reason for Step7

AA (Angle-Angle) Similarity Postulate

Answer:

Step4 reason: All right angles are congruent
Step6 statement: $\angle FGH \cong \angle KGJ$
Step7 reason: AA Similarity Postulate