| A | B |
|---|
| def. reflection symmetric figure | a figure is ref. symm. fig if there is a line m such that rm(f)=f |
| Flip Flop Thm | If F and G are points/figures and rm(F)=G and rm(G)=F |
| Segment Symmetry Thm | In a segment, there are two lines of symmetry, the line containing the segment and its perp. bis. |
| Side Switching Thm | If one side of an angle is reflected over the line containing angle bis, then its image is other side |
| Angle Symmetry Thm | The line of sym. in an angle is the angle bisector |
| Circle Symm. Thm | In a circle, the line of symm. is line going thru center (infinite) |
| Symmetric Figures Thm | The corresponding parts of symmetric figures are congruent |
| Isosceles Triangles Symmetry Thm | In an iscoceles triangle, the line of symm is the line going thru angle bis. of vertex angle |
| Isoceles Triangle Coicidence Thm | The line of symm. in an isosc. triangle is line containing angle bis. vertex angle, perbendicular bisector of base, and median of base |
| Isosceles triangle bas angles thm | the base angles in an isosceles triangle are congruent |
| Equilateral Triangle Sym.. Thm | In an equilateral triangle, the line of sym.. is angle bisector of each angle |
| Equilateraly Triangle Angles Thm | Equilateral triangle is equilangular |
| Kite Symm. Thm | The symmetry lines in a kite are the diagonals thru the ends |
| Kite Diagonal Thm | The diagonals in a kite are the perpendicular bisectors of e/o |
| Rhombus Diagonal Thm | In a rhombus, the diagonals are the perpendicular bis. of e/o |
| Trapezoid Angles Thm | Consecutive angles btwn bases are supplementary |
| Isosceles Trapezoid Symm. Thm | The line of sym.. in isosc. trap is perpendicular bis. of base |
| Isosceles Trapezoid Thm | In an isosceles trapezoid, the non parallel sides are congruent |
| Rectangle Symmetry Thm | The lines of symm. in a rectangle are perpendicular bisector of each side |
| Def. Rotation Symmetric figure | A plane figure F is a rotation symm. figure btwn 0-360 such that r(F)=F; the center of r is center of symm. for F |
| n-fold rotation symmetry | In a rotation of m degrees, the smallest rotation such that r(F)=F then the figure has n-fold rotational symm. where n= 360/m |
| Theorem of figure having 2 intersection lines of symm | If a fig has 2 intersection lines of symm.then it is rotation symm. |
| Regular Polygon | convex polygon that is equilateral and equilangular |
| center of polygon thm | in any regular polygon, there is a point, its center, which is equidistant from all f its vertices |
| Regular Polygon Symm. Thm | Every regular n-gon possesses 1) n-symmetry lines which are perpendicular bis of each side and angle bis of each angle 2)n-fold rotational symm. |
| def chord | a segment that connect two points on the circle |
| def. minor arc | If A and B are points on circle o the AB is minor arc of chord |
| Minor Arc of Chord Thm | in a circle the greater the measure of minor arc of chord, the longer the cord |
