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As shown in the figure, in △ ABC, ab = AC, point E is on high ad, find out all congruent triangles in the figure, and explain why they are congruent?
The congruent triangles in the graph are: △ abd ≌ △ ACD, △ BAE ≌ △ CAE, △ BDE ≌ △ CDE. The reasons are as follows: ∵ AB = AC, ad is high. In RT △ BD and RT △ ACD, ab = Acad = ad, ≌ RT ≌ abd ≌ RT △ ACD (HL); ≌ bad = CAD, in △ BAE and △ CAE, ab = AC ≌ BAE = ca
As shown in the figure, in △ ABC, ab = AC, D is the midpoint of BC, and E is on ad. find out congruent triangles in the figure and explain why they are congruent
The congruent triangles in the graph are: △ abd ≌ △ ACD, △ Abe ≌ △ ace, △ BDE ≌ △ CDE. Reasons: ∵ D is the midpoint of BC, ≌ BD = DC, ab = AC, ad = ad ≌ △ abd ≌ △ ACD (SSS);
RELATED INFORMATIONS
- 1. As shown in the figure, in △ ABC, ab = AC, point E is on high ad, find out all congruent triangles in the figure, and explain why they are congruent?
- 2. As shown in the figure, in △ ABC, ab = AC, point D is the midpoint of DC, and point E is on ad. find out congruent triangles in the figure and explain why they are congruent Yeah
- 3. Which of the six corner elements of a triangle can determine a triangle?
- 4. Under what circumstances can two triangles be proved congruent
- 5. Can angle prove the congruence of triangle? Why
- 6. Why can't edges and corners prove the congruence of triangles
- 7. If two triangles have two sides equal to the middle line on the third side, are they congruent? The process of proof
- 8. Proof of linear algebra Let B = (E + a) - 1 (e-A) It is proved that: (E + b) (E + a) = 2E
- 9. Give a counterexample to show whether the following proposition is false. (1) an axisymmetric figure is an isosceles triangle. (2) if a number can be divisible by 2, it can also be divisible by 4 (3) If the square of any number is greater than 0 (4), the sum of two acute angles is an obtuse angle (5). If the distance between a point and the two ends of a line segment is equal, then this point is the midpoint of the line segment
- 10. Given that the set a = {x ∈ n | 86 − x ∈ n}, the set a is represented by enumeration=______ ．
- 11. Two congruent triangles of similar and equal circumference
- 12. Proof: there are two equal triangles corresponding to the bisector of two angles and one of them
- 13. Two angles and the opposite sides of one of them correspond to the congruence of two equal triangles. Do the two angles refer to the two separate angles of two triangles This sentence is incomprehensible What is the equivalence of the opposite sides of a corner
- 14. There are two congruent triangles with two equal angles and one side. Why? Give a counterexample It is suggested to avoid the following multiple-choice questions when preparing the test paper Only the following elements of two triangles are equal, so it can't be determined that two triangles are congruent () (A) Two corners and one side; (b) two sides and included angle; (C) Three corners; (d) three sides We should strictly follow the format of "congruence of two triangles with two corners and the opposite side of one corner corresponding to the same". We should not omit "the opposite side of one corner". We should not use ambiguous language such as "congruence of two triangles with two corners and one side corresponding to the same" to determine congruence of two triangles in class In understanding this concept, do not confuse correspondence with the corresponding edge of congruent triangle. As long as two triangles have two equal angles and one equal side, we can regard these two triangles as having two equal angles and one equal side. It is emphasized in the textbook that there are two equal triangles corresponding to two corners and the opposite side of one corner. How to understand the correspondence here? First of all, I want to make it clear that correspondence and corresponding edge are not a concept. If we stand on the platform of congruence of triangles and understand the correspondence here based on the corresponding edge of congruence triangles, then this problem is very difficult to solve. I think the correspondence here has something in common with the correspondence in the concept of function. The first triangle has one side with a length of 3cm, and only the second triangle has one side with a length of 3cm. We should regard these two triangles as having a pair of equal sides, which means the correspondence here.
- 15. 1. The congruence of two right triangles corresponding to the same angle and one side. 2. The congruence of two triangles corresponding to the same angle and one side. Which is the true proposition Please draw a picture to illustrate
- 16. Given a > 2, b > 2, try to judge whether the equation x * x - (a + b) x + AB = 0 and X * x-abx + (a + b) = 0 have common roots, please explain the reason * denotes a multiply sign The symbols can't be typed with words
- 17. Given a ＞ 2, B ＞ 2, try to judge whether the equation X2 - (a + b) x + AB = 0 and X2 ABX + (a + b) = 0 have common roots. Please explain the reason
- 18. If the quadratic coefficient of equation - 5x + 6x + 3 = 0 is changed to one, why can the equation be changed?
- 19. If two sides of an angle are parallel to each other, is it true that the two angles are equal!
- 20. Judge whether the following propositions are true or false. If they are true, give reasons. If they are false, give counter examples (1) If a is a real number, then the square plus 1 is greater than 0 "; (2) If the square of a is greater than the square of B, then a is greater than B; (3) A quadrilateral with equal sides is a square