Final answer:
Given : Line AB is the perpendicular bisector of segment I K. J is the point where Line AB intersects line segment I K.
Step-by-step explanation:
"Line AB is the perpendicular bisector of segment IK": This is explicitly mentioned in the given information.
Additional Observations:
"IJ = JK": This indicates that IJ and JK are congruent, suggesting an isosceles triangle.
"∠IAJ is a right angle": This implies that triangle IAJ is a right-angled triangle.
"AJ = BJ": Since A is the midpoint of IK, AJ and BJ are equal.
Overall, the information supports the conclusion that line AB is not only the bisector but also the perpendicular bisector of segment IK, creating two congruent right-angled triangles, IAJ and JAK.
Questions:
Which statement can you conclude is true from the given information? Given: Line AB is the perpendicular bisector of segment IK. IJ = JK, ∠IAJ is a right angle, AJ = BJ, A is the midpoint of IK