Square ABCD, AE + CF = EF, verification ∠ EDF = 45 degree

As shown in the figure, rotate ⊿ DCF clockwise 90 ≌ around d to ⊿ DAG, ≛ Ge = GA + AE = FC + AE = EF, ≛ DG = DF, ≌ DGE ≌ DFE (SSS), ≌ GDE ≌ FDE, GDE + FDE ≌ GDF = 90 ≌ EDF ≌

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1. As shown in the figure, in the quadrilateral ABCD, ab = CD, BF = De, AE ⊥ BD, CF ⊥ BD, e and f respectively. (1) prove: △ Abe ≌ △ CDF; (2) if AC and BD intersect at point O, prove: Ao = Co
2. As shown in the figure, e and F are two points on the diagonal BD of the quadrilateral ABCD, AE ‖ CF, AE = CF, be = DF
3. As shown in the figure, e and F are two points on the diagonal BD of the quadrilateral ABCD, AE ‖ CF, AE = CF, be = DF
4. As shown in the figure, e and F are two points on the diagonal AC and BD of rectangle ABCD, and AE = DF. Prove the congruent triangle COF of triangle BOE
5. As shown in the figure, in square ABCD, ∠ DAF = 25 °, AF intersects diagonal BD at e, intersects CD at F, then ∠ bec=______ Degree
6. As shown in the figure, in square ABCD, ∠ DAF = 25 °, AF intersects diagonal BD at e, intersects CD at F, then ∠ bec=______ Degree
7. As shown in the figure, in square ABCD, ∠ AFD = 65 ° AF and BD intersect at E
8. As shown in the figure, in rectangular ABCD, AF ⊥ BD, perpendicular foot is f, ∠ DAF = 3 ∠ BAF, calculate the degree of ∠ fac
9. It is known that e is the midpoint of the waist BC of the trapezoidal ABCD, and ab + CD = ad
10. For the isosceles trapezoid ABCD, ad is parallel to BC, ad = 2cm, BC = 8cm, e is the midpoint of the lumbar CD, be divides the trapezoid into two parts, the perimeter difference is 3cm, and calculates the length of ab I only have the second grade of junior high school, and I am learning the median line of triangle and trapezoid. I hope you can help me solve the problem according to the direction of this theorem
11. As shown in the figure, in square ABCD, ∠ EDF = 45 ° and the two sides of ∠ EDF intersect AB and BC respectively at e and F. try to explore the quantitative relationship between AE, EF and CF, and prove your conclusion
12. If the perimeter of a diamond is 8 cm and the height is 1 cm, the ratio of the degrees of the two adjacent angles of the diamond is 0——
13. If the perimeter of the diamond is 8 cm and the height is 1 cm, what is the degree ratio of the two collar angles of the diamond?
14. If the perimeter of the diamond is 8 cm and the height is 1 cm, what are the degrees of the two adjacent inner angles in the diamond?
15. It is known that the perimeter of the diamond is 16cm, and there is an internal angle of 60 degrees, then the shorter diagonal length of the diamond is______ cm．
16. If the perimeter of the diamond ABC is 16cm and an internal angle is 30 °, the area of the diamond ABC is
17. The perimeter of the diamond is 16cm, and one of its internal angles is 150 degrees?
18. The diamond has an area of 32 square centimeters, and an internal angle of 30 degrees. What is the perimeter of the diamond
19. If the perimeter of the diamond is 40cm and the ratio of the two adjacent angles is 1:2, the length of the shorter diagonal depends on the process
20. If the perimeter of the diamond is 8 cm and the height is 1 cm, the degree ratio of the two adjacent angles of the diamond is 0 How to prove it? What is the definition? Is the 30 degree angle of a right triangle equal to half of the hypotenuse?