Perpendicular- a term used to describe two intersecting lines forming right angles
These lines are perpendicular.Here are the theorems
If two lines are perpendicular, then they form congruent adjacent angles (or angles of the same size sharing a ray).
If two lines for congruent adjacent angles, then the lines are perpendicular (this is the converse of the conditional listed as the first theorem).
If the exterior sides of two adjacent angles are perpendicular, the the angles are complementary.
The two dark lines are the exterior sides and they are perpendicular.On a side note, the symbol for showing perpendicularity (if that's a word) is _l_
So, here's an example proof relating to perpendicular lines:
Given: ray CA _l_ ray CB
Prove:
Given: ray CA _l_ ray CB
ReplyDeleteProve: <ACD and <DCB are complementary <s
statements reasons ----------------------------------------------------------------------------------------
1. ray CA _l_ ray CB 1. Given
2.m<ACB=90 2. Definition of perpendicular lines
3. m<ACD+m<DCB=m<ACB 3. Angle addition postulate
4.m<ACD+m<DCB=90 4. Substitution property
5. <ACD and <DCB are complementary<s 5. Definition of complementary <s
Okay, so thats the proof in a nutshell. Now, I will pick the next scribe using an elite choosing process called eenie meenie minie moe.
And the scribe is...
KERRY ANN! psyche! Its really Matthew.
Thats all for today!
Your blog explains the meaning of perpendicular lines in a very simple and exact manner and I am here to share some general information about perpendicular lines that is, They are the lines that are at right angles (90°) to each other.
ReplyDeleteArc of a Circle