Geometry - Unit 5

A collection of terms and stuff.

Kite Angle Sum Conjecture

The nonvertex 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 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 supplememtary.

Isoscele Trapezoid Conjecture

The base angles of an isosceles trapezoid are congruent.

Isosceles Trapezoid Diagonals Conjecture

The diagonals of an isosceles trapezoid are congruent.

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.

Opposite Sides are Parallel

Parallelogram, Rectangle, Square, Rhombus

Opposite Sides are Congruent

Parallelogram, Rectangle, Square, Rhombus

Opposite Angles are Congruent

Parallelogram, Rectangle, Square, Rhombus

Consecutive Angles are Supplementary

Parallelogram, Rectangle, Square, Rhombus

All Angles are Congruent

Rectangle, Square

All Sides are Congruent

Rhombus, Square

Diagonals Bisect Each Other

Parallelogram, Rectangle, Square, Rhombus

Diagonals are Congruent

Rectangle, Square, Iso. Trap

Diagonals are Perpendicular

Rhombus, Square, Kite

Diagonals Bisect Opposite Angles

Rhombus, Square

Exactly One Set of Parallel Sides

Trapezoid, Iso. Trapezoid

Base Angles are Congruent

Iso. Trapezoid

Exactly One Pair of Opposite Angles are Congruent (Non-Vertex Angles)

Kite

Polygon Interior Angle Sum

180(n-2)

Regular (Equiangular) Polygon Interior Angle Sum

180(n-)/n

Regular (Equiangular) Polygon Exterior Angle Sum

360/n

Polygon Exterior Angle Sum

360

Alternative Interior Angle Sum

180-(360/n)

Three Midsegments Conjecture

The midsegments of a triangle divide it into 4 congruent triangles.

Triangle Midsegment Conjecture

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

Trapezoid Midsegment Conjecture

A midsegment of a trapezoid is parallel to the bases and is equal in length to half the sum of the bases (average of the bases)