Two triangles have two angles corresponding to the same are not similar triangles

is a similar triangle. Determination theorem of similar triangles: (1) A straight line parallel to one side of the triangle intersects with the other two sides, and the triangle formed is similar to the original triangle.

The two angles correspond to the same, and the two triangles are similar).

2) If the two sides of one triangle and the two sides of another triangle correspond proportionally, and the angles are equal, then the two triangles are similar.

The short description is: the two sides correspond proportionally and the angles are equal, and the two triangles are similar. )

3) If the three sides of a triangle correspond to the three sides of another triangle, then the two triangles are similar.

The short description is: the three sides correspond to proportions, and the two triangles are similar. )

4) If the two corners of two triangles correspond to each equal (or the three angles correspond to each equal), then there are two triangles that are similar.

Determination theorem of similarity of right triangles:

1) The right triangle is divided into two right triangles by the height on the hypotenuse, similar to the original triangle.

2) If the hypotenuse and one right-angled side of a right-angled triangle correspond to the hypotenuse and one right-angled side of another right-angled triangle, then the two right-angled triangles are similar.

Yes, because the sum of the inner angles of a triangle is 180 degrees and two angles correspond to the same, then the third one is also equal.

The three angles correspond to the triangle that is equal and is a similar triangle.

The three angles are equalThe triangles are similar

1. Congruent triangles.

is a similar triangle, and the corresponding sides of the congruent triangle have equal angles, so the congruent triangle is considered a similar triangle.

2. Two isosceles triangles with equal apex angles.

are similar triangles, two isosceles triangles with equal apex angles, then their base angles are also equal, and three triangles with equal angles are similar triangles.

3. All isosceles right triangles are similar, isosceles right triangles have one right angle, and the other two angles are equal, both equal to 45 degrees, so all the three angles of isosceles triangles are.

Equal, they are similar triangles.

4. Two triangles with equal three angles are similar triangles. But when the three angles are equal, the corresponding three sides are also of equal length, and they are congruent triangles. When the three angles are equal, but the corresponding three sides are not equal, but the corresponding three sides are proportionally the same length, it is a similar triangle.

Two triangles where all three angles correspond to each other are similar triangles, not necessarily congruent triangles.

The three angles are equalThe triangles are similarof,The three corners correspond to equal, plus one corresponding side is equal, and the corners of the corners are congruent. Or the triangle is similar, the three sides correspond to the proportional and wide family example, the proportion coefficient is equal, and there is a clever bucket corresponding to the side is equal, which is said to be absolutely disadvantaged and the similarity ratio.

is 1, that is, the three sides correspond to equal, and the congruence is introduced.

Judgment:

1. If the three sides of a triangle correspond to the three sides of another triangle, then the two triangles are similar (abbreviation: the three sides correspond to the two triangles in proportion to the similarity).

2. If the two sides of a triangle correspond to the two sides of another triangle and the angles are equal, then the two triangles are similar (abbreviation: the two triangles with proportional sides and equal angles are similar).

3. If the two angles of a triangle correspond to the two angles of another triangle respectively, then the two triangles are similar (abbreviation: two angles correspond to two triangles that are equal).

4. If a right triangle.

The hypotenuse and a right-angled edge are proportional to the hypotenuse and a right-angled side of another right-angled triangle, then the two triangles are similar.

Decision Theorem 2: If the two corresponding sides of two triangles are proportional and the corresponding angles are equal, then the two triangles are similar. The short description is: the two sides correspond proportionally and the angles are equal, and the two triangles are similar. ）（sas）

Surely, any two sides are equal, that is, all sides are equal. Triangles, angles can only be determined to give shape, not size. However, if the edge is determined, its shape and size are all uniquely determined.

It is necessary to have the angle between these two sides.

It doesn't have to be the same, because it doesn't have to be the angle between the two sides or something else.

Not the same, to be equal in the angle between the two sides, in the same.

There is no theorem of the corners of the corners.

The two sides determine the other edge, so it's the same.

<> similar triangles.

The decision theorem:

1. A straight line parallel to one side of the triangle intersects with the other two sides, and the triangle formed is similar to the original triangle.

2) If the two sides of one triangle and the two sides of another triangle correspond proportionally, and the angles are equal, then the two triangles are similar.

3. If the three sides of a triangle are proportional to the three sides of another triangle, then the two triangles are similar;

4. If the two angles of the two triangles correspond to the same or the angles of the three friends are equal, then the two triangles are similar.

One of the theorems for similar triangles is that if the two angles of a triangle correspond equally to the two angles of another triangle, then the two triangles are similar.

The decision theorems for similar triangles also are:

1. A straight line parallel to one side of the triangle intersects with the other two sides, and the triangle formed is similar to the original triangle;

2) If the two sides of one triangle and the two sides of another triangle correspond proportionally, and the angles are equal, then the two triangles are similar.

3. If the three sides of a triangle correspond to the three sides of another bright triangle, then the two triangles are similar to each other;

It is assumed that the abc def (the corresponding point is placed in the corresponding position disadvantage hall) def is larger, angle A is equal to angle D, and angle B is equal to angle E

Intercept a little M on DE so that DM=AB, and at the parallel bottom of MN, ABC AMN is obtained by ASA

Therefore, the amn def (a straight line parallel to one side of the triangle intersects the other two sides, and the resulting triangle is similar to the original triangle.

abc∽⊿def

The first step of the drawing is to make a compass to make 2 equal radii (a pair of sides) on the angle of 2 intersection points using the compass to fix the length, and make 2 sides to intersect at 1 point (two pairs of sides) to connect the common side (three pairs of sides).

Only one edge of the line is a common edge.

The three sides correspond to the two equal triangular scattered caves congruence, and the two corners are equal by the ruler.

First, draw two triangles with equal angles (nonsense.

1) The sine reed royal theorem can be obtained.

A angle a = b angle b = c angle c

And because the three corners are certain.

So the three sides are also determined.

2) Separately do high.

The ratio of three sides can be expressed by three angles plus the Pythagorean theorem and acute trigonometric functions.

Therefore, the shape of the two triangles is similar (the horns are equal to the cherry blossoms, and the sides are proportional).

The reason for this is that when the two angles of Xiangsun Xuan are equal, since the sum of the inner angles of the three burning angles is unchanged, the third angle is also equal, then, if the three inner angles of these two triangles are equal, then the two triangles are similar triangles