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Polygon Properties - Ch 5 Quadrilateral Sum Conjecture The sum of the measures of the four angles of any quadrilateral is…....360 degrees. C-30 p. 256.

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Presentation on theme: "Polygon Properties - Ch 5 Quadrilateral Sum Conjecture The sum of the measures of the four angles of any quadrilateral is…....360 degrees. C-30 p. 256."— Presentation transcript:

1 Polygon Properties - Ch 5 Quadrilateral Sum Conjecture The sum of the measures of the four angles of any quadrilateral is…....360 degrees. C-30 p. 256

2 Polygon Properties - Ch 5 Pentagon Sum Conjecture The sum of the measures of the five angles of any pentagon is…...540 degrees. C-31 p. 256

3 Polygon Properties - Ch 5 Polygon Sum Conjecture The sum of the measures of the n interior angles of an n-gon is….... 180 o (n - 2). C-32 p. 257

4 Polygon Properties - Ch 5 Exterior Angle Sum Conjecture For any polygon, the sum of the measures of a set of exterior angles is…....360 degrees. C-33 p. 261

5 Polygon Properties - Ch 5 Equiangular Polygon Conjecture You can find the measure of each interior angle of an equiangular n-gon by using either of these formulas:…. 180 - 360/n C-34 p. 214 180(n - 2) / n

6 Polygon Properties - Ch 5 Kite Angles Conjecture The _____________ angles of a kite are _______________. nonvertex C-35 p. 267 congruent

7 Polygon Properties - Ch 5 Kite Diagonals Conjecture The diagonals of a kite are…....perpendicular. C-36 p. 267

8 Polygon Properties - Ch 5 Kite Diagonal Bisector Conjecture The diagonal connecting the vertex angles of a kite is the... __________________________... of the other diagonal. C-37 p. 267 …perpendicular bisector...

9 Polygon Properties - Ch 5 Kite Angle Bisector Conjecture The ______________ angles of a kite are ______________ by a ___________. C-38 p. 267 vertex bisected diagonal

10 Polygon Properties - Ch 5 Trapezoid Consecutive Angles Conjecture The consecutive angles between the bases of a trapezoid are…. C-39 p. 268 …supplementary.

11 Polygon Properties - Ch 5 Isosceles Trapezoid Conjecture The base angles of an isosceles trapezoid are …. C-40 p. 269 …congruent.

12 Polygon Properties - Ch 5 Isosceles Trapezoid Diagonals Conjecture The diagonals of an isosceles trapezoid are …. C-41 p. 269 …congruent

13 Polygon Properties - Ch 5 Three Midsegments Conjecture The three midsegments of a triangle divide it into… C-42 p. 273...four congruent triangles.

14 Polygon Properties - Ch 5 Triangle Midsegment Conjecture A midsegment of a triangle is __________ to the third side and is ___________ the length of __________________. C-43 p. 274 parallel half the third side

15 Polygon Properties - Ch 5 Trapezoid Midsegment Conjecture The midsegment of a trapezoid is _________ to the bases and is equal in length to __________________________________ C-44 p. 275 parallel the average of the lengths of the bases.

16 Polygon Properties - Ch 5 Parallelogram Opposite Angles Conjecture The opposite angles of a parallelogram are… C-45 p. 279...congruent.

17 Polygon Properties - Ch 5 Parallelogram Consecutive Angles Conjecture The consecutive angles of a parallelogram are… C-46 p. 280...supplementary.

18 Polygon Properties - Ch 5 Parallelogram Opposite Sides Conjecture The opposite sides of a parallelogram are… C-47 p. 280...congruent.

19 Polygon Properties - Ch 5 Parallelogram Diagonals Conjecture The diagonals of a parallelogram… C-48 p. 280...bisect each other.

20 Polygon Properties - Ch 5 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 … C-49 p. 287...rhombus.

21 Polygon Properties - Ch 5 Rhombus Diagonals Conjecture The diagonals of a rhombus are… C-50 p. 288...perpendicular.......and they......bisect each other.

22 Polygon Properties - Ch 5 Rhombus Angles Conjecture The ______________ of a rhombus _______ the angles of the rhombus. C-51 p. 288 diagonals bisect

23 Polygon Properties - Ch 5 Rectangle Diagonals Conjecture The diagonals of a rectangle are ___________ and they __________ each other. C-52 p. 289 congruent bisect

24 Polygon Properties - Ch 5 Square Diagonals Conjecture The diagonals of a square are __________ and ______________ and they _________________. C-53 p. 290 congruent perpendicular bisect each other


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