Geometry Chapter 5 Theorems
Theorem 5-3 (pg 167)
Diagonals of a parallelogram bisect each other
Theorem 5-17 (pg 185)
If two consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus
Theorem 5-18 (pg 190)
base angles of an isosceles trapezoid are congruent
Theorem 5-14 (pg 185)
each diagonal of a rhombus bisects two angles of the rhombus
Theorem 5-16 (pg 185)
if an angle of a parallelogram is a right angle, then the parallelogram is a rectangle
Theorem 5-6 (pg 172)
if both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram
Theorem 5-4 (pg 172)
if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram
Theorem 5-5 (pg 172)
if one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram
Theorem 5-7 (pg 172)
if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram
Theorem 5-9 (pg 177)
if three parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal
Theorem 5-8 (pg 177)
if two lines are parallel, then all points on one line are equidistant from the other line
Theorem 5-2 (pg 167)
opposite angles of a parallelogram are congruent
Theorem 5-1 (pg 167)
opposite sides of a parallelogram are congruent
Theorem 5-19 (pg 191)
the median of a trapezoid (1) is parallel to the bases (2) has a length equal to the average of the base lengths
Theorem 5-12 (pg 185)
The diagonals of a rectangle are congruent
Theorem 5-13 (pg 185)
The diagonals of a rhombus are perpendicular
Theorem 5-15 (pg 185)
The midpoint of the hypotenuse of a right angle is equidistant from the three vertices
Theorem 5-11 (pg 178)
The segment that joins the midpoints of two side of a triangle (1) is parallel to the third side (2) is half as long as the third side
Theorem 5-10 (pg 178)
a line that contains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side