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

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• 1. 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!
• 2. 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
• 3. In isosceles trapezoid ABCD, AB / / DC, CE / / DA, known AB = 12, DC = 8, Da = 6, find the perimeter of △ CEB
• 4. 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
• 5. 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
• 6. 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
• 7. 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
• 8. In the known quadrilateral ABCD, ab = ad, AE, AF bisects the angle BAC and the angle CAD respectively
• 9. As shown in the figure: in known quadrilateral ABCD, ab = ad, AE, AF divide ∠ BAC and ∠ CAD equally
• 10. In the parallelogram ABCD, e f is two points on the diagonal AC, and AE = CF
• 11. 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
• 12. 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?
• 13. 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______ ．
• 14. 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.
• 15. In trapezoidal ABCD, ad is parallel to BC, AB is equal to 13cm, BC is equal to 18cm, CD is equal to 15cm, ad is equal to 4cm, find the area of s trapezoidal ABCD
• 16. As shown in the figure, in the trapezoidal ABCD, if ad ‖ BC, ∠ B = 72 °, C = 36 °, ad = 6cm, BC = 15cm, then CD=______ cm．
• 17. As shown in the figure, in ladder ABCD, ad ‖ BC, ∠ B = 80 °, C = 50 °, ad = 2, BC = 5. Find the length of waist ab
• 18. As shown in the figure, in the ladder ABCD, AD / / BC,
• 19. Known: as shown in the figure, in trapezoidal ABCD, ad ‖ BC, ∠ B = 60 °, C = 30 °, ad = 2, BC = 8 AB.CD It's a long story
• 20. As shown in the figure, in the trapezoidal ABCD, ad ‖ BC, ab = DC, m and N are the midpoint of AD and BC respectively, ad = 3, BC = 9, ∠ B = 45 °. Find the length of Mn