If △ ABC ≌ △ DEF is known, and ∠ a = 52 °, B = 71 ° and de = 8.5cm, find the degree of ∠ F and the length of ab

∠C=180°-∠A-∠B=180°-52°-71°=57°
Δ ABC ≌ Δ def, the corresponding angles are equal, and the corresponding sides are equal
∴∠F=∠C=57°,AB=DE=8.5cm

It is known that ab ‖ De, BC ‖ EF, D, C are on AF, and ad = CF

It is proved that ∵ ab ∥ De, BC ∥ EF ∥ a = ∥ EDF, ∥ f = ∥ BCA and ∵ ad = CF ∥ AC = DF ≌ ABC ≌ def. (ASA)

It is known that ab ‖ De, BC ‖ EF, D, C are on AF, and ad = CF

It is proved that ∵ ab ∥ De, BC ∥ EF ∥ a = ∥ EDF, ∥ f = ∥ BCA and ∵ ad = CF ∥ AC = DF ≌ ABC ≌ def. (ASA)

Ask known: ab parallel De, BC parallel EF, point D. C in AF, and ad = CF proof: triangle ABC is equal to triangle def, your answer is not SSS congruent ah, thank you

It is proved that: ad = CF
∴AD＋DC＝CF＋DC
∴AC＝DF
In △ BAC and △ EDF
AC＝DF
AB＝DE
BC＝EF
∴△BAC≌△EDF（SSS）

RELATED INFORMATIONS

1. It is known that, as shown in the figure, angle ABC = angle DCB, BD and Ca are the bisectors of angle ABC and angle DCB respectively
2. E. B and C are on the same straight line, Ba bisects ∠ EBD, ∠ DBC = 30 ° and calculates the degree of ∠ ABC
3. In △ ABC, Ba bisects ∠ DBC, ∠ BAC = 118 ° BD ⊥ AC in D, and calculates the degree of ∠ C
4. As shown in the figure, point D is a point on the AB extension line of the equilateral triangle ABC. Take CD as the side length, make the equilateral triangle CDE, and calculate the degree of the angle EBD
5. Circle O is the inscribed circle of RT triangle ABC, DEF is the tangent point, and the extension line of de intersects the extension line of AC at g to prove BD = CG
6. As shown in the figure, △ ACD, △ Abe, △ BCF are equilateral triangles on the same side of the straight line BC. (1) when ab ≠ AC, it is proved that the quadrilateral ADFE is a parallelogram; (2) when AB = AC, what kinds of graphs are formed by successively connecting four points a, D, F and E? Write directly the types and corresponding conditions of the figures
7. Known: a (0,1), B (2,0), C (4,3) (1) find the area of △ ABC (2) set point P on the coordinate axis, and the area of △ ABP and △ ABC
8. If the radius of the inscribed circle of △ ABC is R and the perimeter of △ ABC is l, then the area of △ ABC is___ ．
9. Drawing the center of gravity of any triangle ABC with ruler
10. Line segment equilateral triangle in isosceles triangle is both axisymmetric figure and centrosymmetric figure?
11. As shown in the figure, the known points E and C are on the line BF, be = CF, ab ‖ De, ∠ ACB = ∠ F
12. As shown in the figure, given that AD and be are the heights of △ ABC, ad and be intersect at point F, and ad = BD, can you find the congruent triangle in the figure? If you can find it, please explain why
13. As shown in the figure, ABC three points are the three vertices of a parallelogram with AC as the edge. Their coordinates are (2, - 1) (6, - 1) (0,5) (1) to find the parabola of ABC three points Analytic formula (2) draw a parallelogram in line with the meaning of the problem, and directly write out the coordinates of the fourth vertex D (3) under the conditions of (1) and (2), make a parallel line of X axis through point C, intersect a parabola, and another point is e, which is to find the circumscribed circle radius of triangle DBE
14. As shown in the figure, e and F are the edges ab of square ABCD, and the point on ad ∠ ECF = 45 ° is proved to be EF = DF + be
15. Given the points a (2,4), B (- 2,2), C (x, 2), and the area of △ ABC is 10, request the value of X. (establish rectangular coordinate system) The answer is 8 or - 12.
16. As shown in the figure: O is any point in △ ABC, a '. B'. C 'is OA.OB.OC Is triangle ABC similar to triangle a'b'c '? Why?
17. In the plane rectangular coordinate system, if the coordinates of point a are (1,1), the coordinates of point B are (11,1), the distance between point C and line AB is 4, and △ ABC is a right triangle, then the point C that satisfies the condition has two points______ One
18. Given a (- 2,4), B (6,8), find a point C on the x-axis, which is a triangle, ABC is an isosceles triangle
19. As shown in the figure, in the plane rectangular coordinate system, the side ab of triangle ABC is on the x-axis, a (- 2,0), C (2,4), s triangle = 6, find the coordinates of point B
20. If a (- 2,0) and B (- 4,5) are known in the plane rectangular coordinate system, find a point C on the x-axis, so that the triangle ABC = 6