1、10 alternate angles are equal, the two parallel lines11 complementary interior angles on the same side, two parallel lines12 the two parallel lines, corresponding angles are equal13 two line parallel, alternate angles are equal14 the two parallel lines, complementary interior angles on the same side
2、The sum of 15 sides of a triangle is greater than third16 infer that the difference between the sides of a triangle is less than third17 triangle triangle sum theorem three angles and equal to 180 degrees18 inference 1 the two acute angles of right triangle overlap each other19 a corollary of a tria
3、ngle is equal to the 2 corners and two angles it is adjacent and20 a corollary of a triangle with 3 corners than any one and it is not adjacent.The corresponding sides of 21 congruent triangles and equal angles22 edge axioms (SAS) are congruent with two triangles of equal angles on both sides and th
4、eir angles23 corner corner axiom (ASA) has two triangles congruent horns and their edges corresponding to the equal24 inference (AAS) had two horns and one of the angle on the side corresponding to the equal two congruent triangles25 side axioms (SSS) having two equal triangles equal to three sides2
5、6, bevel and right side axioms (HL) have two sides of a right triangle corresponding to the same side of a right angle27 theorem 1 the distance between points on the bisector of an angle to the sides of this angle is equalThe point at which the distance between 2 and 28 angles is the same as in the
6、bisector of this angleThe bisector of 29 angles is the set of all points equal to the two sides of the angleTwo and 30 are equal isosceles triangle theorem of an isosceles triangle (i.e. equal equilateral angle)31 infer that the bisector of the 1 isosceles triangle vertex is equal to the base and pe
7、rpendicular to the base32 the top angles of the isosceles triangle, the bisector, the middle line on the bottom edge and the height on the bottom edge coincide with each other33 corollary 3 equilateral triangles whose angles are equal, and each angle equal to 60 degrees34 the decision theorem of iso
8、sceles triangle, if a triangle has two angles equal, then the two angles are equal to the sides (equal angles, equal sides)35 corollary 1 three angles are equal triangle is an equilateral triangle36 corollary 2 an isosceles triangle with an angle equal to 60 degrees is an equilateral triangle37 in a
9、 right triangle, if an acute angle is equal to 30 degrees, the right angle of it is equal to half of the slope38 the center line on the bevel of a right triangle is equal to half of the bevelThe point at which the two ends of the line of the line of division are equal to the 39 ends of the lineA poi
10、nt equal to the distance between two endpoints of 40 inverse theorem and a line segment, in the vertical bisector of the lineThe vertical bisector of a 41 line segment can be considered as a set of all points equal to the distance between points at the end of a line segment42 theorem 1 the two graph
11、s of a straight line symmetry are congruent forms43 theorem 2 if two graphs are symmetrical about a straight line, then the symmetry axis is the vertical bisector of the corresponding line44 theorems 3. Two graphs are symmetrical about a straight line, if their corresponding line or extension line i
12、ntersects, then the intersection point is on the symmetry axisThe 45 inverse theorem is that if the corresponding points of the two graphs are vertically divided by the same line, then the two figures are symmetrical about the line46 Pythagorean theorem of right triangle two right angle sides a, b s
13、quare, and the square is equal to the hypotenuse C, a2+b2=c247 the Pythagorean theorem and inverse theorem of a, if the three side of triangle B, C a2+b2=c2, then the triangle is a right triangleIn theorem 48 quadrilateral and equal to 360 degrees49 quadrilateral corners and is equal to 360 degreesI
14、n the 50 polygon sum theorem n edge shape and is equal to (n-2) * 180 degrees51 any inference multilateral angle and equal to 360 degreesThe property theorem of 52 parallelogram; the diagonal equality of 1 parallelogramThe property theorem of 53 parallelogram; the equal sides of 2 parallelogram54 pa
15、rallels between two parallel lines are equalThe property theorem of 55 parallelogram; diagonal bisector of 3 parallelogram56 parallelogram decision theorem 1. The two groups of equal angles are parallelogram57 parallelogram decision theorem 2. The quadrilateral of two sets of equal sides is parallel
16、ogramThe 58 parallelogram theorem; 3 diagonals equal to one another; the quadrilateral is a parallelogram59 the parallelogram theorem 4 is a parallelogram of parallel pairs of edges equal to a parallelogramFour angles of 60 rectangular theorem 1 rectangle is right61 rectangular property theorem 2 th
17、e diagonal of a rectangle is equal62 rectangular decision theorem 1 has three angles at right angles, and a quadrilateral is a rectangle63 rectangular decision theorem 2 a parallelogram with equal diagonals is a rectangle64 diamond theorem 1 the four sides of a diamond are equal65 diamond theorem 2
18、the diagonals of the diamond are perpendicular to each other and each diagonal line is divided into a set of diagonal anglesHalf of the 66 diamond area = diagonal product, namely S= (a * b) / 267 diamond decision theorem 1 quadrilateral is equal to four sides is diamond68 diamond decision theorem 2
19、the diagonals are perpendicular to each other and the parallelogram is rhombicThe 69 square theorem four angles of 1 square is a right angle. The four sides are equal70 the square theorem of 2 squares equal to two diagonals, and perpendicular to each other, each diagonal is equal to a set of diagona
20、lThe 71 theorem 1, about the central symmetry of the two graphs are congruent72 theorem 2 on the central symmetry of the two figures, the symmetry points are connected through the center of symmetry, and is divided by the symmetry centerThe 73 inverse theorem, if the corresponding points of the two
21、graphs are connected by a certain point, and by this oneThe point bisection, then the two graphs are symmetric about this point74 isosceles trapezoid property theorem the isosceles trapezoid is equal to two angles at the same bottom75 isosceles trapezium with two diagonals equal76 isosceles trapezoi
22、d judgment theorem, on the same bottom, the two angles equal trapezoid is isosceles trapezoid77 the trapezium with equal diagonals is isosceles trapezoidA theorem of 78 parallel lines, if a set of parallel lines is cut in a straight lineEqual, then the line segments that are cut on other lines are e
23、qual79 inference 1, after the ladder, the middle of a waist and the bottom parallel line, will be equal to the other waist80 inference 2 the line between the midpoint of the triangle and the other side must be equalThe three side81 the median line of a triangle in which the median line of a triangle
24、 is parallel to the third side and equal to itHalfThe median line theorem of the 82 ladder theorem. The median line of the ladder is parallel to the two base and equal to the sum of the two basesHalf of the L= (a+b) / 2 S=L * h83 (1) the basic nature of the ratio, if a:b=c:d, then ad=bcIf ad=bc, the
25、n a:d84 (2), if the ratio of a / b=c / D, then (a + b) / b= (c + D) / D85 (3) geometric properties, if a / b=c / d=. =m / N (b+d+. +n = 0), then(a+c+. +m) / (b+d+). +n) =a / b86 parallel lines are divided into line segments. The corresponding theorem is that three parallel lines cut two straight lin
26、esProportional to line segments87 inference parallel to the triangle side of the line, cut the other side (or the extension line on both sides), the corresponding line segments proportionalThe 88 theorem, if a straight line cuts the corresponding line of the two sides of the triangle (or the extensi
27、on line on both sides), then the line is parallel to the third side of the triangle89 parallel to one side of the triangle and intersecting with the other sides, the three sides of the triangle are proportional to the three sides of the original triangle90 theorems parallel to one side of the triang
28、le intersect the other sides (or extension lines on both sides), and the triangle is similar to the original triangle91 similar triangles theorem 1 corners equal two triangles (ASA)92 right angled triangles are divided by the height of two sides of a bevel. The triangle is similar to the original on
29、e93 decision theorem 2, the two sides are proportional to each other and the angles are equal, and the two triangles are similar (SAS)94 decision theorem 3, three sides corresponding proportional, two triangle similarity (SSS)The 95 theorem, if the right side of a right triangle and the right angle are three right anglesThe corner of the corner is proportional to a right angle, so the two right triangles are similar96 property theorem 1, the ratio of the corresponding triangle, the ratio of the corresponding line and the corresponding angle flatThe ratio of the line to line is equal
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