www.iTutoring.com -­‐ NOTES Definition of Congruency Angles and Congruent Segments Name _________________________________ Date ___________________ Period _______ Definition of Congruent Angles
Two angles are congruent angles if and only if their measures are equal
If two angles are congruent angles, then their measures are equal
!A " !B
A
B
Definition of Congruent Angles
Two angles are congruent angles if and only if their measures are equal
If two angles have measures that are equal, then those two angles are congruent angles
m!A = m!B
m!A = 112°
A
m!B = 112°
B
Definition of Congruent Segments
Two segments are congruent segments if and only if their measures are equal
If two segments are congruent, then their measures are equal
AB ! XY
B
Y
X
A
Definition of Congruent Segments
Two segments are congruent segments if and only if their measures are equal
If two segments have equal measures, then those two segments are congruent
mAB = mXY
AB = XY
= 12
A
B
mA
= 12
AB
B
X
12
mXY =
12
XY =
Y
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Definition of Congruency Angles and Congruent Segments Pg. 2 Definition of Congruent Angles
Definition of Congruent Segments
If "A ! "B, then m"A = m"B
If AB ! XY, then mAB = mXY
If m"A = m"B, then "A ! "B
If mAB = mXY, then AB ! XY
Y
X
B
Measurements are equal
A
B
Objects are congruent
A
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Definition of Congruency Angles and Congruent Segments Pg. 3