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Angles & Proofs (proofs (definition of segment bisector (if segment AC…
Angles & Proofs
proofs
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def. angle bisector
If segment CE bisects angle DCB, then measure of angle 3=measure of angle4
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addition property
If measure of angle 1= measure of angle 4 and measure of angle 2=measure of angle 3, the measure of angle1+measure of angle 2=measure angle 3+ measure of angle4
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def. right ∠'s
If angle DCB=90 degrees, the angle DCB is a right angle.
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transitive property
If measure of angle 8=measure of angle 1 and measure of angle 1 = measure of angle 9, then measure of angle 8 =measure of angle 9
def. of midpoint
If E is the midpoint of segment AC, then AE=EC
substitution property
If measure of angle1+meaasure of angle2=90 degrees and measure of angle 2=45 degrees, then measure of angle 1+45degrees=90degrees
symmetric property
If measure of angle1=measure of angle4, then measure of angle4=measure of angle1
subtraction property
If measure of angle ABC= measure of angle DCB and measure of angle1 = measure of angle 4, then measure of angle ABC- measure of angle1= measure of angle DCB- measure of angle 4
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angle pair relationships
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special angle pairs
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linear pair
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always are supplementary, which means their measures add up to 180 degree
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