In the parallelogram ABCD, we know that E F is on the diagonal BD, e point is close to D f point is close to B, and AE / / CF indicates that ade congruent CBF

Proof: because ABCD is a parallelogram, so ad = CB, angle ace = angle CBF, and because AE / / CF, so angle AEB = angle CFD, so angle AED = angle CFB. In triangle ade and triangle CFB, angle AED = angle CFB, angle AC

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1. It is known that in the trapezoid ABCD. Ab | CD. E is the midpoint of BC. The angular extension line of the straight line AE intersecting DC is at point F D``C`````F `````````` `````E ```````` ````````` A````````B
2. As shown in the figure, in the trapezoidal ABCD, ad ∥ BC, ∠ B = 30 ° and ∠ C = 60 ° e, F, m and N are the midpoint of AB, CD, BC and Da respectively. Given BC = 7 and Mn = 3, then EF=______ ．
3. In trapezoidal ABCD, AD / / BC, ∠ B = 40 ° and ∠ C = 50 °, e, m, F and N are the midpoint of AB, BC, CD and Da respectively, and EF = a, Mn = B 6. In trapezoidal ABCD, AD / / BC, ∠ B = 40 ° and ∠ C = 50 °, e, m, F and N are the midpoint of AB, BC, CD and ad respectively, and EF = a, Mn = B, then what is the length of BC? (expressed by the algebraic formula of a and b)! It's a process! hurry up!
4. In the isosceles trapezoid ABCD, AD / / BC, ab = CD, e, N, F, m are the midpoint of edge AB, BC, CD, Da respectively, and EF ^ 2 + Mn ^ 2 = 8 Find the length of the diagonal of this isosceles trapezoid
5. It is known that, as shown in the figure, square ABCD, e, m, F and N are the points on ad, AB, BC and CD respectively. If EF ⊥ Mn, we prove that EF = Mn
6. 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
7. 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
8. As shown in the figure, in the ladder ABCD, AD / / BC,
9. As shown in the figure, in ladder ABCD, ad ‖ BC, ∠ B = 80 °, C = 50 °, ad = 2, BC = 5. Find the length of waist ab
10. As shown in the figure, in the trapezoidal ABCD, if ad ‖ BC, ∠ B = 72 °, C = 36 °, ad = 6cm, BC = 15cm, then CD=______ cm．
11. As shown in the figure: in rectangular ABCD, ab = 2ad, e is a point on CD, and AE = AB, then ∠ CBE is equal to______ ．
12. As shown in the figure, in known rectangle ABCD, ab = 2ad, e is a point on CD and AE = AB, (1) calculate the degree of angle CBE, (2) if ad = 2cm, calculate the degree of angle CBE
13. E is a point on the edge CD of rectangle ABCD, and AE = AB, ab = 2BC, find the degree of ∠ EBC
14. Given AB = 2BC of rectangle ABCD, take point E on CD to make AE = EB, then the angle EBC is equal to A 60 B 45 C 30 D 15
15. Given AB = 2BC of rectangle ABCD, take point E on CD so that AE = EB, then what is the angle EBC equal to
16. As shown in the figure, in rectangular ABCD, e is a point on DC, AE = AB, ab = 2ad, then the degree of ∠ EBC is______ ．
17. It is known that in rectangular ABCD, ab = 2CB, point E is on DC, and AE = AB, then ∠ EBC=___ .
18. In the quadrilateral ABCD, ad ≠ BC, ab = DC, E on the side of BC, AE = De, BF = EC (1) Judge the shape of quadrilateral ABCD and prove it (2) If AB = ad = 10, BC = 22, find the area of quadrilateral ABCD
19. Trapezoid ABCD AB parallel DC ad = BC AE, BF are the height of two waist respectively, and AE, BF intersect with point o Let BAE = x and C = y find out and prove the relation between X and y
20. Geometry e is a point of ad on the edge of square ABCD, BF bisects ∠ EBC intersects DC with F, and proves that EB = AE + CF