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geometry chapter 5

conjectures from chapter 5

QuestionAnswer
quadrilater sum conjecture The sum of the measures of the four angles of any quadrilateral is 360
Pentagon Sum Conjecture The sum of the measures of the five angles of any pentagon is 540°.
Polygon Sum Conjecture The sum of the measures of the n interior angles of an n-gon is (n−2)•180.
Exterior Angle Sum Conjecture For any polygon, the sum of the measures of a set of exterior angles is 360°.
Equiangular Polygon Conjecture You can find the measure of each interior angle of an equiangular n- gon by using either of these formulas: (n−2)•180 ° n or 180 -360 ° n
Kite Angles Conjecture The non-vertex angles of a kite are congruent
Kite Diagonals Conjecture The diagonals of a kite are perpendicular.
Kite Diagonal Bisector Conjecture The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal.
Kite Angle Bisector Conjecture The vertex angles of a kite are bisected by a diagonal.
Trapezoid Consecutive Angles Conjecture The consecutive angles between the bases of a trapezoid are supplementary.
Isosceles Trapezoid Conjecture The base angles of an isosceles trapezoid are congruent.
Isosceles Trapezoid Diagonals Conjecture The diagonals of an isosceles trapezoid are congruent
Three Midsegments Conjecture The three midsegments of a triangle divide it into four congruent triangles.
Triangle Midsegment Conjecture A midsegment of a triangle is parallel to the third side and half the length of the third side.
Trapezoid Midsegment Conjecture The midsegment of a trapezoid is parallel to the bases and is equal in length to the average of the lengths of the bases.
Parallelogram Opposite Angles Conjecture The opposite angles of a parallelogram are congruent
Parallelogram Consecutive Angles Conjecture The consecutive angles of a parallelogram are supplementary.
Parallelogram Opposite Sides Conjecture The opposite sides of a parallelogram are congruent.
Parallelogram Diagonals Conjecture The diagonals of a parallelogram bisect each other.
Double-Edged Straightedge Conjecture If two parallel lines are intersected by a second pair of parallel lines that are the same distance apart as the first pair, then the parallelogram formed is a rhombus.
Rhombus Diagonals Conjecture The diagonals of a rhombus are perpendicular and they bisect each other.
Rhombus Angles Conjecture The diagonals of a rhombus bisect the angles of the rhombus.
Rectangle Diagonals Conjecture The diagonals of a rectangle are congruent and bisect each other.
Square Diagonals Conjecture The diagonals of a square are congruent, perpendicular,and bisect each other.
Created by: blulub