Math

5.1

100

(n-2)180

Polygon Sum conjecture 

200

180(n-2)/n

Equiangular Sum conjcture

300

All angles add up to _____ equation 

(n-2)180

400

Every angle has to be congruent 

Equiangular Sum conjecture

500

In any equiangular polygon, the sum of perp. distances from interior point to the sides never changes. 

Polygon Sum Conjecture or Equiangular sum conjecture

5.3

100

Trapezoid Consecutive Angles conjecture

The consecutive angles between the bases are supplementary.

200

Isosceles Trapezoid Conjecture.

The base angles of an isosceles trapezoid are congruent. 

300

Isosceles Trapezoid Diagonals conjecture

The diagonals of an isosceles trapezoid are congruent.

400

links symmetry to angles, claiming that equal legs force the base angles to match

isosceles trapezoid conjecture

500

the diagonals of a perfectly symmetric trapezoid will share the same length. 

isosceles trapezoid diagonals conjecture

5.2 and 5.7

100

Exterior Angles conjecture

If you add all exterior angles they equal 360 degrees.

200

Triangle Midseg. Conjecture 

The midseg. of a triangle is parallel to the 3rd side and is half of it. 

300

Trapezoid Midseg. Conjecture 

The midseg. is parallel to the base and equal in length to the average length of the bases. 

400

Three Midseg. Conjecture 

The 3 midseg. divide into four congruent triangles. If you connect the 3 midseg. you get four triangles

500

A quadrilateral has exactly one pair of parallel sides, certain midseg. and diagonal relationships will behave predictably like a weighted average of bases

trapezoid midseg. conjecture

5.3

100

Kite Angle Conjecture 

The non-vertex angles are congruent.

200

Kite Diagonal Conjecture 

The diagonals of a kite are perpendicular. 

300

Kite Diagonal Bisector Conjecture 

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

400

Kite Angle Bisector Conjecture

The vertex angles of a kite are bisected by the line of symmetry/diagonal. 

500

One diagonal bisects the other at a right angle

kite diagonals conjecture

5.4 and 5.5

100

Parallelogram Opposite Angles Conjecture 

The opposite angles of parallelogram are congruent. 

200

Parallelogram Consecutive Angles Conjecture 

The consecutive angles are supplementary. 

300

Parallelogram Opposite Sides Conjecture 

The opposite sides are congruent.

400

Parallelogram Diagonals Conjecture 

The diagonals are bisectors of eachother.

500

Rhombus Diagonals Conjecture

The diagonals of a rhombus are perp. and they bisect eachother