Posted by **Kat** on Thursday, March 25, 2010 at 10:56pm.

Circle L has segment LJ and segment LK as radii. Those 2 segments are perpendicular. Segment KM and segment JM are tangent to circle L. Is triangle JLM congruent to triangle KLM? Please explain.

- Geometry-properties of tangents of a circle -
**Damon**, Friday, March 26, 2010 at 11:01am
<KLJ is right given

<LKM = <LJM is right (tangent to circle perpendicular to radius)

MJ || KL and KM || LJ congruent interior and exterior angles (all right angles)

the remaining angle in the square is right and all sides are equal .

therefore LM is diagonal of square

diagonal cuts || lines so opp interior angles JML=KLM =JLM=KML

angles the same and hypotenuse the same and radii the same, side angle side

- Geometry-properties of tangents of a circle -
**Prarthana**, Sunday, March 28, 2010 at 5:55am
TriangleJLM, Triangle KLM

JM=KM as Length of tangents to a circle from external point is equal

Also LJ=LK as they are radii of circle

LM is common side!

Hence by SSS congruency principle the 2 triangles are congruent =)

## Answer this Question

## Related Questions

- Geometry - Prove that the tangents to a circle at the endpoints of a diameter ...
- geometry - given: segment AB is paralell to segment DC; segment AB is congruent ...
- geometry - Two secant segments are drawn to a circle from a point outside the ...
- geometry - Two secant segments are drawn to a circle from a point outside the ...
- math - Two secant segments are drawn to a circle from a point outside the circle...
- Please help with circle tangents geometry - Two circles of different sizes are ...
- Congruence-creating a triangle - Three segments are given. I need to draw one ...
- math - A circle is divided into four segments from the center of the circle. One...
- geometry - Which segment is a tangent segment to circle Q? (Points : 1) EP EA AP...
- Geometry - Yes, I'm this desperate. I just have problems with coming up with the...