Answer
Statements:
1. HJ and JF are perpendicular and HG and FG are perpendicular.
5. Triangle HJK and triangle FGK are congruent.
Reasons:
2. Definition of perpendicular lines and right angles.
3. Right angles are congruent to each other.
4. Vertical angles theorem.
5. AA congruency theorem
Work Step by Step
Statements:
1. The first blank in the statements is always filled with what is given.
5. The last blank in the statements column is always filled with what we are trying to prove.
Reasons:
2. We can conclude they are right angles since the two given lines are perpendicular.
3. All angles of the same measure are congruent, so we can conclude the right angles are congruent.
4. The two angles are vertical angles, so they are congruent by the vertical angles theorem.
5. When two pairs of angles in triangles are congruent, the two triangles are similar by the angle angle congruency theorem.
