Given: circle o with diameter ln and inscribed angle lmn
prove: zumn is a right angle.
m
what is the missing reason in step 5?
statements
reasons
1. circle o has diameter ln and 1. given
inscribed angle lmn
2. lkn is a semicircle
2. diameter o divides
into 2 semicircles
3. circle o measures 360° 3. measure of a circle
is 360°
*m lkn = 180°
4. definition of semicircle
5.m lmn = 90°
6. zlmn is a right angle
5.2
6. definition of right angle
hl theorem
inscribed angle theorem
diagonals of a rhombus are perpendicular.