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Reason Sheet for Honors Geometry Semester Exam
Postulates
Postulate 4
Postulate 12
Postulate 13
Postulate 14
(Angle Addition Postulate) If point B lies in the interior of angle AOC, then
m (angle AOB) + m(angle BOC) = m(angle LAOC).
If angle AOC is a straight angle and B is any point not on AC, then m(angle AOB) + m(angle BOC) = 180
(SSS Postulate) If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
(SAS Postulate) If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the
triangles are congruent.
(ASA Postulate) If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the
triangles are congruent.
Chapter 2 Theorems
Theorem 2-5
If two lines form congruent adjacent angles, then the lines are perpendicular.
Chapter 3 Theorems
Theorem 3-2
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
Theorem 3-11
The sum of the measures of the angles of a triangle is 180.
Chapter 4 Theorems
Theorem 4-1
Theorem 4-3
(The Isosceles Triangle Theorem) If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
AAS: If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Chapter 5 Theorems
Theorem 5-1
Theorem 5-3
Theorem 5-4
Theorem 5-6
Opposite sides of a parallelogram are congruent.
Diagonals of a parallelogram bisect each other.
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
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