As shown in the figure, take two points E and F on the diagonal AC of the parallelogram ABCD, if AE = cf. verify: ∠ AFD = ∠ CEB

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• 1. Known: as shown in the figure, the quadrilateral ABCD is a circle inscribed quadrilateral, e is a point on the diagonal ad, and ab = ad = AE verify: angle CAD = 2 angle CBE
• 2. In the known quadrilateral ABCD, ab = ad, AE, AF bisects the angle BAC and the angle CAD respectively
• 3. As shown in the figure: in known quadrilateral ABCD, ab = ad, AE, AF divide ∠ BAC and ∠ CAD equally
• 4. In the parallelogram ABCD, e f is two points on the diagonal AC, and AE = CF
• 5. It is known that, as shown in the figure, e and F are two points on the diagonal AC of the parallelogram ABCD, AE = CF
• 6. It is known that, as shown in the figure, e and F are two points on the diagonal AC of the parallelogram ABCD, AE = CF
• 7. It is known that, as shown in the figure, e and F are two points on the diagonal AC of the parallelogram ABCD, AE = CF
• 8. As shown in the figure, in the parallelogram ABCD, e is the midpoint of CD, and the extension line of be and ad intersects at point F Million urgent A. still have half an hour to hand in homework a. a a... will add ADD ADD ADD ADD ADD ADD ADD ADD ADD ADD ADD ADD ADD ADD ADD ADD ADD ADD
• 9. In the parallelogram ABCD, e is the midpoint of AD, the extension line of be is at point F, connecting Ce (1), proving: CD = DF (2) if ad = 2CD, please write all right angle triangles in the graph In the parallelogram ABCD, e is the midpoint of AD, the extension line of be is at the point F, connecting Ce (1), proving: CD = DF (2) if ad = 2CD, please write all right triangles and isosceles triangles in the graph
• 10. It is known that in △ ABC, ab = AC, BD = DC, AE bisects ∠ fac, try to guess the position relationship between AE and ad, please explain the reason
• 11. As shown in the figure, in the isosceles trapezoid ABCD, ab ∥ CD, CE ∥ Da, known AB = 8, DC = 5, Da = 6, calculate the perimeter of △ CEB
• 12. As shown in the figure, in the isosceles trapezoid ABCD, ab ∥ CD, CE ∥ Da, known AB = 8, DC = 5, Da = 6, calculate the perimeter of △ CEB
• 13. In isosceles trapezoid ABCD, AB / / DC, CE / / DA, known AB = 12, DC = 8, Da = 6, find the perimeter of △ CEB
• 14. As shown in the figure, rectangular ABCD, e is a point on AB, fold the triangle CEB along CE, let Ge intersect DC at point F, if ∠ EFD = 80 °, calculate the degree of ∠ BCE
• 15. In the parallelogram ABCD, 2Ab = ad, angle B = 60 degrees, m and N are the midpoint of AD and BC respectively, are Mn and AC perpendicular to each other? Why? Urgent!
• 16. In the parallelogram ABCD, ab = ad, angle B = 60 degrees, m and N are the midpoint of AD and BC respectively, are Mn and AC perpendicular to each other? Why
• 17. It is known that in the quadrilateral ABCD, ab = DC, e and F are the midpoint of AD and BC respectively, GH ⊥ EF intersects AB and DC at g, h and O respectively, which are perpendicular feet It is known that in the quadrilateral ABCD, ab = DC, e and F are the midpoint of AD and BC respectively, GH ⊥ EF intersects AB and DC at g, h and O respectively, which are perpendicular feet
• 18. In the quadrilateral ABCD, ab = DC, m and N are the midpoint of AD and BC, and GH is vertical to Mn, intersect AB and CD at point G respectively, and verify: ∠ AGH = ∠ DHG First, in the first row, are triangles similar?
• 19. As shown in the figure, in the square ABCD, e is the midpoint of AB side, G and F are the points on AD and BC side respectively. If Ag = 1, BF = 2, ∠ GEF = 90 °, then the length of GF is______ ．
• 20. In the trapezoid ABCD. AD / / BC (AD is greater than BC). AB = CD, ∠ B = 60 °, ad = 15cm, BC = 49cm, then the waist length of the trapezoid is_____ cm.