honors Geometry Unit 5

Polygon interior angle sum

IAS = 180(n-2)

n = the # of sides in the polygon

If equiangular: [180(n-2)]/n

Polygon Exterior Angle Sum

EAS = 360

If equiangular: each exterior angle = 360/n

Kite Angle Sum Conj.

The non-vertex angles of a kite are congruen

Kite Diagonals Conj.

The diagonals of a kite are perpendicular

Kite Diagonal Bisector Conj.

The diagonal connecting the vertex angles of a kite is the bisector of the other diagonal

Kite Angle Bisector Conj.

The Vertex angles of a kite are bisected by a diagonal

Trap Consecutive Angles Conj.

The consecutive angles between the bases of a trapezoid are supplementary

Iso Trap Conj.

The base angles of an iso trap are congruent

Iso Trap Diagonals Conj.

The diagonals of an iso trap are congruent

Three Midsegments Conj.

The three midsegments of a triangle divide it into four congruent triangles.

Triangle Midsegment Conj.

A midsegment of a triangle is parallel to the 3rd side and its length is half of the third side.

Trapezoid Midsegment Conj.

A midsegment of a triangle is parallel t the bases and is equal in length to half the sum of the bases or the average of the two bases.