Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

Question was provided via image upload.

Question

Question was provided via image upload.

Explanation:

Analyze segment CD in part (a)

The segment \(CD\) connects vertex \(C\) to point \(D\) on the opposite side \(AB\). In the diagram, there are angle markings at vertex \(C\) showing that \(\angle ACD \cong \angle BCD\). Therefore, \(CD\) is the angle bisector of \(\angle C\).

Analyze segment JO in part (b)

The segment \(JO\) connects point \(O\) on side \(FH\) to point \(J\) on side \(GH\). The diagram shows that \(JO\) is perpendicular to \(GH\) at point \(J\) (indicated by the right-angle symbol), and \(J\) is the midpoint of \(GH\) (indicated by the congruency tick marks on \(GJ\) and \(JH\)). Since \(JO\) is perpendicular to \(GH\) and passes through its midpoint, \(JO\) is the perpendicular bisector of \(GH\).

Answer:

Question 1

Select all that describe \(\overline{CD}\):

  • Angle bisector of \(\angle C\)

Question 2

Select all that describe \(\overline{JO}\):

  • Perpendicular bisector of \(\overline{GH}\)