Warm Up: Draw each regular polygon and find an exterior angle and it’s interior angle.
Remember : Reason: An exterior angle of a triangle is greater than either of its nonadjacent...
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Transcript of Remember : Reason: An exterior angle of a triangle is greater than either of its nonadjacent...
Remember:
Reason: An exterior angle of a triangle is greater than either of its nonadjacent interior angles.
3
213 mmm
1
2
13 mm and 23 mm
Exterior angle theorem
Statement Reason
1. Given
Pg. 3 #15
EBCABD 1.
2. Partition PostulateABEDBEABD 2.
3. Substitution postulateABEDBEEBC 3.
4. A whole is greater than any of its parts
EBCABE 4.
Statement Reason
1. Given
Pg. 3 #16
PTQT 1.
PQTQPT 2.
3. An exterior angle of a triangle is greater than either of its nonadjacent interior angles
PQTSPQ 3.
4. Substitution postulate of inequalities
QPTSPQ 4.
2. Angles opposite congruent sides of a triangle are congruent
Statement Reason
1. Given
Pg. 3 #17
BDAD 1.
ABDA 2.
3. Partition PostulateABCDBCABD 3.
5. Substitution postulate of inequalities
AABC 5.
4. A whole is greater than any of its parts
ABDABC 4.
2. Angles opposite congruent sides of a triangle are congruent
Statement Reason
1. Given
Pg. 3 #18
RTRS 1.
STRS 2.
3. An exterior angle of a triangle is greater than either of its nonadjacent interior angles
SRMT 3.
4. Substitution postulate of inequalities
STRRMT 4.
2. Angles opposite congruent sides of a triangle are congruent
Statement Reason
1. Given
Pg. 3 #19
2 1. ABC
ABC1 2. 2. An exterior angle of a triangle is greater than either of its nonadjacent interior angles
3. Substitution postulate of inequalities
21 3.
Statement Reason
1. GivenRPQPS vertex bisects 1.
QPSRPS 2. 2. An angle bisector divides an angle into two congruent angles
QPSPQT 3. 3. An exterior angle of a triangle is greater than either of its nonadjacent interior angles
4. Substitution postulate of inequalities
RPSPQT 4.