The theorem of triangle congruence? 15

Updated on educate 2024-02-09
13 answers
  1. Anonymous users2024-02-05

    The corresponding angles of congruent triangles are equal.

    2 The corresponding sides of congruent triangles are equal.

    3 The corresponding vertices of congruent triangles are in equal positions.

    4 The heights on the corresponding sides of congruent triangles correspond equally.

    5 The bisector of the corresponding angles of a congruent triangle is equal.

    6 The corresponding midline of congruent triangles is equal.

    7 Congruent triangles are equal in area.

    8 Congruent triangles have equal circumferences.

    9 Congruent triangles can coincide exactly.

    Judgment law: 1. Three groups of two triangles with equal sides (SSS or "edge-edge-edge").

    2 There are two triangles with equal sides and their angles corresponding to congruence (SAS or "corner edges").

    3 There are two corners and their edges corresponding to two equal triangles congratularity (ASA or "corner corners").

    4 There are two corners and the opposite side of one of the corners corresponds to two equal triangles congruence (AAS or "corner edges").

    5 The conditions for the congruence of right triangles are: hypotenuse and straight angle sides correspond to two equal right triangle congruence (hl or "hypotenuse, right angled side") sss, sas, asa, aas, hl are all theorems for determining the congruence of triangles.

  2. Anonymous users2024-02-04

    The two sides correspond to equal, and the corresponding angles of the clamp are equal, then the beam triangle is congruent, that is, SAS

    If the three sides are equal, then the two triangles are congruent, i.e., SSS

    If two angles are equal and one edge is equal, then there is congruent AAS, and one is ASA

  3. Anonymous users2024-02-03

    Properties of triangle congruence:

    1 The corresponding angles of congruent triangles are equal.

    2 The corresponding sides of congruent triangles are equal.

    3 The heights on the corresponding sides of congruent triangles correspond to equals.

    4 The angular bisector of the corresponding angles of a congruent triangle is equal.

    5 The midline on the corresponding side of the congruent triangle is equal.

    6 Congruent triangles are equal in area.

    7 Congruent triangles are equal in circumference.

    8 The trigonometric values of the corresponding angles of congruent triangles are equal.

  4. Anonymous users2024-02-02

    1. Three groups of triangles with equal sides are congruence (sss) in ab=de bc=ef ca=fd abc def(sss) in abc and sum and def

    2. There are two triangles with equal sides and their angles corresponding to the congruence (SAS) in abc and def ac=df c= f bc=ef abc def(sas).

    3. There are two angles and their intersections corresponding to two triangles of congruence (asa) in abc and sum and def in a= d (known) ab=de(known) b= e(known) abc def(asa).

    4. There are two corners and the opposite sides of one corner correspond to two equal triangles congruence (AAS) in the middle of the sum and and DFE in the abc and DFE in a= d , c= f ab=de abc DFE(AAS).

    5. The congruence conditions of the right triangle are: the hypotenuse and the straight angle side correspond to the equal two right triangle congruence (hl) rt abc and sum and rt a b c in the middle of the middle of the right triangle ab = ab (right angled side) bc = b c (hypotenuse) rt ab c rt a b c (hl).

  5. Anonymous users2024-02-01

    You're going to read a junior high school book.

  6. Anonymous users2024-01-31

    1. Three groups of two triangles with equal sides (SSS or "edge-edge-edge") also explains the reason for the stability of triangles. 2 There are two triangles with equal sides and their angles corresponding to congruence (SAS or "corner edges"). 3. There are two corners and their sandwich edges corresponding to two triangles congruence (ASA or "corner corners").

    4. There are two angles and the opposite side of one of the corners correspond to two equal triangle congruence (AAS or "corner corner") 5. The conditions for the congruence of a right triangle are: the hypotenuse and the right angle side of a Yu Sen correspond to the equal congruence of two right triangles (hl or "hypotenuse, right angled side") Therefore, the mean kernel destruction difference of SS, SAS, ASA, AAS, HL is the theorem for determining the congruence of triangles.

  7. Anonymous users2024-01-30

    Determination of the congruent three-skin blue ball horn:1) SSS (edge edge edge): The triangle corresponding to the three burning orange sides is congruent triangles.

    2) SAS (Corner Edge): The triangle corresponding to the two sides and their angles is congruent triangle.

    3) ASA (Corner Corner): The two corners and their edges correspond to the congruence of the triangle.

    4) AAS (Corner Edge): Two corners and the opposite side of one of the corners correspond to equal triangle congruence.

    5) RHS (Right Angle, Hypotenuse, Edge) (also known as HL theorem (Hypotenuse, Right Angle)): In a pair of right triangles, the hypotenuse and the other right angle are equal.

    Properties: 1. The corresponding angles of congruent triangles are equal.

    2 The corresponding sides of congruent triangles are equal.

    3. The vertices that can be completely overlapped are called the corresponding vertices.

    4 The heights on the corresponding sides of congruent triangles correspond equally.

    5 The bisector of the corresponding angles of a congruent triangle is equal.

    6. The midline on the corresponding side of the congruent wisdom triangle is equal.

    7. Congruent triangles are equal in area and circumference.

    8 The trigonometric values of the corresponding angles of congruent triangles are equal.

  8. Anonymous users2024-01-29

    The corresponding sides and corresponding angles of the congruent triangle are equal. Similarly, if two triangles are edged, the two triangles with three corresponding sides equal are congruent triangles.

    On the corner edge, two triangles with equal opposite sides and one corresponding angle are congruent triangles (must be the angles between the two sides).

    Angular edges, two triangles with equal corresponding angles and one opposite side equal are congruent triangles.

    All three corners are 60 degrees.

    Corner corners, two triangles with equal corresponding angles and one equal pair of opposite sides are congruent triangles (as distinguished from the above, here refers to the sides sandwiched by two corresponding angles.) The above is not).

    The hypotenuse and right-angled edges, a straight-and-a-he, annihilated corner-edge, and a hypotenuse corresponding to the same (only applicable to the sides and angles of the right-angled triangle correspond to the same respectively, then the two triangles are congruent!).

  9. Anonymous users2024-01-28

    Judgment axiom. 1. Three groups of two triangles with equal sides (referred to as SSS or "edge-edge-edge") also illustrate the reason for the stability of the triangle.

    2 There are two triangles with equal sides and their angles corresponding to congruence (SAS or "corner edges").

    3 There are two corners and their edges corresponding to two equal triangles congratularity (ASA or "corner corners").

    4 There are two corners and the opposite side of one of the corners corresponds to two equal triangles congruence (AAS or "corner edges").

    5 The conditions for the congruence of right triangles are: hypotenuse and straight angle sides correspond to two equal right triangle congruence (hl or "hypotenuse, right angled side").

    SSS, SAS, ASA, AAS, HL are all theorems for determining triangles, all-core ants, etc.

    Note: There is no AAA (corner angle) and SSA (edge corner) in the congruence judgment (exception: the right triangle is changed to HL, which belongs to SSA), neither of which can uniquely determine the shape of the triangle.

  10. Anonymous users2024-01-27

    SSS (edge by edge).

    SAS (Corner Edge).

    ASA (Corner Corner).

    AAS (Corner Edge).

    hl (hypotenuse and straight angles in a right triangle correspond equally).

  11. Anonymous users2024-01-26

    Corner edge theorem, corner edge theorem,

  12. Anonymous users2024-01-25

    Edge by edge, corner by corner, corner by corner.

  13. Anonymous users2024-01-24

    Edge-edge-edge, three triangles with equal sides are congruent triangle corner edges, and two triangles with equal opposite sides and one corresponding angle are congruent triangles (must be the angle between the two sides).

    Corner edges, two triangles with equal corresponding angles and one equal pair of opposite sides are congruent triangle corner corners, and two triangles with equal corresponding angles and one equal pair of opposite sides are congruent triangles (as distinguished from the above, here refers to the side sandwiched by two corresponding angles). The above is not).

    An hypotenuse right-angled edge, where a right-angled edge and an hypotenuse are equal (for right-angled triangles only).

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