C С Ε B Н H D in the image point A is the center of the circle. Which two line segments must be equal in length?

Question:

In the image, point A is the center of the circle. Which two line segments must be equal in length?

Step-by-step explanation:

See attachment for figure

Required

Which two lines must bet equal

From the diagram, we have the following 4 lines:

However, among the 4 lines, only two lines pass through center A.

These lines are:

The length of these two line segments because they both pass through the center and they both represent the diameter of the circle.

Hence,

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.