Are the edges and angles corresponding to 1 congruent triangles equal?

2 Angular Axiom (SAS) has two triangles with equal angles.

The Axiom of Triangle (ASA) has two triangles, and their two angles are equal to their clamping edges.

4 Inference (AAS) has two angles, and the opposite side of one angle corresponds to the congruence of two triangles.

The pentagonal axiom (SSS) has two triangles with equal sides.

6 Axiom of hypotenuse and Right Angle (HL) Are the two right triangles of hypotenuse and right angle identical?

Theorem 1 Is the distance between a point on the bisector of an angle equal to both sides of the angle?

Theorem 2: Are points at equal distances from both sides of an angle on the bisector of this angle?

The bisector of angle 9 is the set of all points with equal distance to both sides of the angle.

Property Theorem of 10 isosceles triangle: Are the two base angles of isosceles triangle equal (i.e. equilateral and equilateral)?

2 1 Inference 1 The bisector of the vertices of an isosceles triangle bisects the base and is perpendicular to the base?

Do the bisector of the top angle of the isosceles triangle, the median line on the bottom edge and the height on the bottom edge coincide?

Inference 3 All angles of an equilateral triangle are equal, and each angle is equal to 60?

24 Judgment Theorem of an isosceles triangle If a triangle has two equal angles, then the opposite sides of the two angles are also equal (equal angles and equal sides)?

25 Inference 1 Is a triangle with three equal angles an equilateral triangle?

Inference 2 Is an isosceles triangle with an angle equal to 60 an equilateral triangle?

In a right triangle, if an acute angle equals 30, then the right side it faces is equal to half of the hypotenuse?

Is the median line on the hypotenuse of a right triangle equal to half of the hypotenuse?

Theorem 29 Is the distance between the point on the vertical line of a line segment and the two endpoints of this line segment equal?

The point where the inverse theorem and the distance between the two endpoints of a line segment are equal is on the middle vertical line of this line segment?

The perpendicular bisector of 3 1 line segment can be regarded as the set of all points with the same distance at both ends of the line segment?

Theorem 32 1 Are two graphs conformal and symmetric about a straight line?

Theorem 2 If two figures are symmetrical about a straight line, then the symmetry axis is the perpendicular line connecting the corresponding points?

Theorem 3 Two graphs are symmetrical about a straight line. If their corresponding line segments or extension lines intersect, then the intersection point is on the axis of symmetry?

35 Inverse Theorem If the straight line connecting the corresponding points of two graphs is vertically bisected by the same straight line, then the two graphs are symmetrical about this straight line?

36 Pythagorean Theorem The sum of squares of two right angles A and B of a right triangle is equal to the square of the hypotenuse C, that is, A 2+B 2 = C 2?

37 Inverse Theorem of Pythagorean Theorem If the lengths of three sides of a triangle A, B and C are related to A 2+B 2 = C 2, then this triangle is a right triangle?

The sum of the quadrilateral internal angles of Theorem 38 equals 360?

Is the sum of the external angles of a 39 quadrilateral equal to 360?

The theorem of the sum of internal angles of 40 polygons is that the sum of internal angles of n polygons is equal to (n-2) × 180?

4 1 infer that the sum of the external angles of any polygon is equal to 360?

42 parallelogram property theorem 1 parallelogram diagonal equality?

43 parallelogram property theorem 2 Are the opposite sides of the parallelogram equal?

44 Infer that the parallel segments sandwiched between two parallel lines are equal?

45 parallelogram property theorem 3 diagonal bisection of parallelogram?

46 parallelogram decision theorem 1 is two groups of parallelograms with equal diagonals?

47 parallelogram decision theorem 2 two groups of parallelograms with equal opposite sides?

48 parallelogram decision theorem 3 A quadrilateral whose diagonal is bisected is a parallelogram?

49 parallelogram decision theorem 4 A group of parallelograms with equal opposite sides are parallelograms?

50 rectangle property theorem 1 Are all four corners of a rectangle right angles?

5 1 rectangle property theorem 2 Are the diagonals of rectangles equal?

52 rectangle judgment theorem 1 Is a quadrilateral with three right angles a rectangle?

53 Rectangular Decision Theorem 2 Is a parallelogram with equal diagonals a rectangle?

54 diamond property theorem 1 Are all four sides of a diamond equal?

55 diamond property theorem 2 The diagonals of the diamond are perpendicular to each other, and each diagonal bisects a set of diagonals?

56 diamond area = half of diagonal product, that is, S=(a×b)÷2?

57 diamond decision theorem 1 Is a quadrilateral with four equilateral sides a diamond?

58 Diamond Decision Theorem 2 Are parallelograms whose diagonals are perpendicular to each other diamonds?

59 Theorem of Square Properties 1 All four corners of a square are right angles and all four sides are equal?

60 square property theorem 2 Two diagonals of a square are equal and bisected vertically, and each diagonal bisects a set of diagonals?

6 1 Theorem 1 On the congruence of two centrosymmetric graphs?

Theorem 2 About two graphs with central symmetry, the connecting lines of symmetrical points both pass through the symmetrical center and are equally divided by the symmetrical center?

Inverse Theorem If a straight line connecting the corresponding points of two graphs passes through a certain point and is bounded by it?

The point is equally divided, so these two figures are symmetrical about this point?

64 isosceles trapezoid property theorem Are the two angles of isosceles trapezoid equal on the same base?

Are the two diagonals of the isosceles trapezoid equal?

66 isosceles trapezoid judgment theorem are two equilateral trapezoid on the same base isosceles trapezoid?

Is a trapezoid with equal diagonal lines an isosceles trapezoid?

68 parallel lines bisect line segment theorem If a group of parallel lines cut a line segment on a straight line?

Equal, then the segments cut on other straight lines are equal?

69 Inference 1 Will a straight line passing through the midpoint of one waist of a trapezoid and parallel to the bottom bisect the other waist?

Inference 2 A straight line passing through the midpoint of one side of a triangle and parallel to the other side will be equally divided.

Trilateral?

The midline theorem of 7 1 triangle; the midline of a triangle is parallel to and equal to the third side?

Half?

The trapezoid midline theorem is parallel to the two bottoms and equals the sum of the two bottoms.

Half L=(a+b)÷2 S=L×h?

Basic properties of ratio 73 (1) If a:b=c:d, then ad=bc?

If ad=bc, then a:b=c:d?

74 (2) Combinatorial Properties If A/B = C/D, then (A B)/B = (C D)/D?

75 (3) Isometric Property If A/B = C/D = … = M/N (B+D+…+N ≠ 0), then?

(a+c+…+m)/(b+d+…+n)=a/b？

76 parallel lines are divided into segments. Proportional theorem Three parallel lines cut two straight lines. What is the corresponding result?

The line segments are proportional?

Inferring that a straight line parallel to one side of a triangle cuts the other two sides (or extension lines on both sides), the corresponding line segments are proportional?

Theorem 78 If the corresponding line segments obtained by cutting two sides (or extension lines of two sides) of a triangle are proportional, then this line is parallel to the third side of the triangle?

A straight line parallel to one side of a triangle and intersecting with the other two sides. The three sides of the triangle are proportional to the three sides of the original triangle?

Theorem 80 A straight line parallel to one side of a triangle intersects the other two sides (or extension lines of both sides), and the triangle formed is similar to the original triangle?

8 1 similar triangles's decision theorem 1 Two angles are equal and two triangles are similar (ASA)?

Are the two right triangles divided by the height on the hypotenuse of the right triangle similar to the original triangle?

Decision Theorem 2: Two sides are proportional and the included angle is equal, and two triangles are similar (SAS)?

84 Decision Theorem 3 Three sides are proportional and two triangles are similar (SSS)?