p. 33 - Frame 41
| Pr.1 | All right angles are congruent. | Proof - Frame 47 |
| Pr. 2 | All straight angles are congruent. | Proof - Self Test # 13 |
| Pr. 3 | Complements of same or congruent angles are congruent. | Proof - Frame 47 |
| Pr. 4 | Supplements of same or congruent angles are congruent. | Proof - Frame 48 |
| Pr. 5 | Vertical angles are congruent. | Proof - Frame 49 |
p. 51 - Frame 2
| Pr. 1 | Corresponding parts of congruent triangles are congruent. | Postulate - CPCTC |
| Pr. 2 | Two triangles are congruent if 2 sides and included angle are congruent. | Postulate - SAS |
| Pr. 3 | Two triangles are congruent if 2 angles and included side are congruent. | Postulate - ASA |
| Pr. 4 | Two triangles are congruent if three sides are congruent. | Postulate - SSS |
p. 58 - Frame 7
| Pr. 1 | Base angles of an isosceles triangle are congruent. | Proof - In class |
| Pr. 2 | If two angles of a triangle are congruent, the sides opposite them are congruent. | Proof - In class |
| Pr. 3 | An equilateral triangle is equiangular. | Proof - In class |
| Pr. 4 | An equiangular triangle is equilateral. | Proof - In class |
p. 61 - Frame 10 - Theorem: The bisector of the vertex angle of an isosceles triangle is a median to the base.
p. 67 - Frame 12
| Pr. 1 | Through a given point not on a given line, one and only one line can be drawn parallel to the given line. | Postulate (Parallel) |
| Pr. 2 | Two lines are parallel if a pair of corresponding angles are congruent. | Postulate |
| Pr. 3 | Two lines are parallel if a pair of alternate interior angles are congruent. | Proof - Student Exercise |
| Pr. 4 | Two lines are parallel if a pair of interior angles on the same side of a transversal are supplementary. | Proof - Student Exercise |
| Pr. 5 | Lines are parallel if they are perpendicular to the same line. | Proof - Student Exercise |
| Pr. 6 | Lines are parallel if they are parallel to the same line. | Proof - Student Exercise |
| Pr. 7 | If two lines are parallel, each pair of corresponding angles are congruent. | Postulate |
| Pr. 8 | If two lines are parallel, each pair of alternate interior angles are congruent. | Proof - Student Exercise |
| Pr. 9 | If two lines are parallel, each pair of interior angles on the same side of the transversal are supplementary. | Proof - Student Exercise |
| Pr. 10 | If two lines are parallel, a line perpendicular to one of them is perpendicular to the other also. | Proof - Student Exercise |
| Pr. 11 | If lines are parallel, a line parallel to one of them is parallel to the others also. | Proof - Student Exercise |
| Pr. 12 | If the sides of two angles are respectively parallel to each other, the angles are either congruent or supplementary. | Proof - Student Exercise |
p. 71 - Frame 15
| Pr. 1 | If a point is on the perpendicular bisector of a line segment, then it is equidistant from the ends of the segment it bisects. | Proof - In class |
| Pr. 2 | If a point is equidistant from the ends of a line segment, then it is on the perpendicular bisector of the line segment. | Proof - In class |
| Pr. 3 | If a point is on the bisector of an angle, then it is equidistant from the sides of the angle. | Proof - Student Exercise |
| Pr. 4 | If a point is equidistant from the sides of an angle, then it is on the bisector of the angle. | Proof - Student Exercise |
| Pr. 5 | Two points each equidistant from the ends of a line segment determine the perpendicular bisector of the line segment. | Proof - Student Exercise |
| Pr. 6 | The perpendicular bisectors of the sides of a triangle meet
in a point that is equidistant from the vertices of the triangle. Circumcenter-center of circumscribed circle |
Proof - Student Exercise |
| Pr. 7 | The bisectors of the angles of a triangle meet in a point
that is equidistant from the sides of the triangle. Incenter-center of inscribed circle |
Proof - Student Exercise |
p. 76 - Frame 17
| Pr. 1 | The sum of the angles of a triangle equals 180°. | Proof - In text |
| Pr. 2 | If two angles of one triangle are congruent respectively to two angles of another triangle, the remaining angles are congruent. | Proof - Student Exercise |
| Pr. 3 | The sum of the values of the angles of a quadrilateral equals 360°. | Proof - Student Exercise |
| Pr. 4 | The value of each exterior angle of a triangle equals the sum of its two non-adjacent (opposite) interior angles. | Proof - Student Exercise |
| Pr. 5 | The sum of the exterior angles of a triangle equals 360°. | Proof - Student Exercise |
| Pr. 6 | Each angle of an equilateral triangle equals 60°. | Proof - Student Exercise |
| Pr. 7 | The acute angles of a right triangle are complementary. | Proof - Student Exercise |
| Pr. 8 | Each acute angle of an isosceles right triangle equals 45°. | Proof - Student Exercise |
| Pr. 9 | A triangle can have no more than one right angle. | Proof - Student Exercise |
| Pr. 10 | A triangle can have no more than one obtuse angle. | Proof - Student Exercise |
| Pr. 11 | Two angles are congruent or supplementary if their sides are respectively perpendicular to each other. | Proof - Student Exercise |
p. 81 - Frame 21
| Pr. 1 | If S is the sum of the interior angles of a polygon of n sides, then S = (n-2)180°. | Proof - Text (partial) |
| Pr. 2 | The sum of the exterior angles of any polygon equals 360°. | Proof - In class |
| Pr. 3 | A regular polygon of n sides has an exterior angle of 360°/n and an interior angle of 180°-360°/n. | Proof - In class |
p. 83 - Frame 23
| Pr. 1 | If two angles and a side opposite one of them of one triangle are congruent to the corresponding parts of another, the triangles are congruent. | SAA or AAS Proof - Student exercise |
| Pr. 2 | If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle, the triangles are congruent. | HL Proof - Not given |
p. 91 - Frame 25
| Pr. 1 | The base angles of an isosceles trapezoid are congruent. | Proof - Not given |
| Pr. 2 | If the base angles of a trapezoid are congruent, the trapezoid is isosceles. | Proof - Not given |
p. 92 - Frames 27 & 28
| Pr. 1 | The opposite sides of a parallelogram are parallel. | Definition |
| Pr. 2 | A diagonal of a parallelogram divides it into two congruent triangles. | Proof - In class |
| Pr. 3 | The opposite sides of a parallelogram are congruent. | Proof - Student Exercise |
| Pr. 4 | The opposite angles of a parallelogram are congruent. | Proof - Student Exercise |
| Pr. 5 | Any two adjacent angles of a parallelogram are supplementary. | Proof - Student Exercise |
| Pr. 6 | The diagonals of a parallelogram bisect each other. | Proof - Student Exercise |
| Pr. 7 | A quadrilateral is a parallelogram if its opposite sides are parallel. | Definition |
| Pr. 8 | A quadrilateral is a parallelogram if its opposite sides are congruent. | Proof - Student Exercise |
| Pr. 9 | A quadrilateral is a parallelogram if two sides are congruent and parallel. | Proof - Student Exercise |
| Pr. 10 | A quadrilateral is a parallelogram if its opposite angles are congruent. | Proof - Student Exercise |
| Pr. 11 | A quadrilateral is a parallelogram if its diagonals bisect each other. | Proof - Student Exercise |
p. 98 - Frames 33 to 35
| Pr. 1 | A rectangle, rhombus, or square has all the properties of a parallelogram. | Definition |
| Pr. 2 | Each angle of a rectangle is a right angle. | Proof - In class |
| Pr. 3 | The diagonals of a rectangle are congruent. | Proof - Student Exercise |
| Pr. 4 | All sides of a rhombus are congruent. | Proof - Student Exercise |
| Pr. 5 | The diagonals of a rhombus are perpendicular bisectors of each other. | Proof - Student Exercise |
| Pr. 6 | The diagonals of a rhombus bisect the vertex angles. | Proof - Student Exercise |
| Pr. 7 | The diagonals of a rhombus form four congruent triangles. | Proof - Student Exercise |
| Pr. 8 | A square has all the properties of both the rhombus and the rectangle. | Proof - In text |
| Pr. 9 | If a parallelogram has one right angle, then it is a rectangle. | Proof - Student Exercise |
| Pr. 10 | If a parallelogram has congruent diagonals, then it is a rectangle. | Proof - Student Exercise |
| Pr. 11 | If a parallelogram has congruent adjacent sides, then it is a rhombus. | Proof - Student Exercise |
| Pr. 12 | If a parallelogram has a right angle and two equal adjacent sides, then it is a square. | Proof - Student Exercise |
p. 101 - Frame 36
| Pr. 1 | If three or more parallels cut off congruent segments on one transversal, then they cut off congruent segments on any other transversal. | Proof - In class |
| Pr. 2 | If a line is drawn from the midpoint of one side of a triangle and parallel to a second side, then it passes through the midpoint of the third side. | Proof - Student Exercise |
| Pr. 3 | If a line joins the midpoints of two sides of a triangle, then it is parallel to the third side and equal to one-half of it. | Proof - Not given |
| Pr. 4 | The median of a trapezoid is parallel to its bases and equal to one-half of their sum. | Proof - Student Exercise |
| Pr. 5 | The median to the hypotenuse of a right triangle equals one-half of the hypotenuse. | Proof - Student Exercise |
| Pr. 6 | The medians of a triangle meet in a point that is two-thirds of the distance from any vertex to the midpoint of the opposite side. | Proof - Not given |
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