Download Right Angle Theorem

Right Angle Theorem
Outcome:
I will prove geometry concepts using
congruent supplementary angles.
28. Theorem 23
 If two angles are both supplementary and congruent, then
they are right angles.
ACB  ACD
ACB and ACD are right angles
Example #1
Given: AB  AC
BD  CD
Prove: AD is an altitude
(9)
Example #2
Given: AB  AD
BC  CD
Prove: AC is  bisector of BD
(13)
Example #3
Given: P and Q intersect
at points A and B
Prove: PQ  AB
(13)
Example #4
Given: A
BAC  DAC
Prove: AC  BD
(10)
Practice
 Page 182-183: #1(11), 3(10), 4(10), 5, and 14