If the ratio of two ratios B / A and B / C are reciprocal to each other, then the ratio of ABCD is

If the ratio of two ratios B / A and B / C are reciprocal to each other, then the ratio of ABCD is


B ^ 2 = AC, it should be an equal ratio sequence. Let's make it clear



If the ratio of two ratios B / A and D / C are reciprocal to each other, what proportion can a, B, C and D form? Write the proportion formula


A: B = D: C, because a / b × C / D = 1, a / b = D / C, so a: B = D: C



If a: B and C: D are reciprocal to each other, then the proportion of ABCD is the same
A B A and D C C B C and a D
B: C: B and D: A: D B: C = D: a


C



If the ratios AB (B ≠ 0) and CD (D ≠ 0) of the two ratios are reciprocal to each other, how can the four numbers a, B, C and D form a proportion? Please write it down


Because the ratios AB (B ≠ 0) and CD (D ≠ 0) of the two ratios are reciprocal to each other, the four numbers a, B, C and D can form a proportion: ab = DC or Ba = CD



If the ratios of a: B & nbsp; and C: D & nbsp; are reciprocal to each other, then the ratio of a, B, C and D can be______ .


Because the ratio of two ratios a: B and C: D is reciprocal, so ab × CD = 1, which means acbd = 1, that is, a × C = B × D, written in the ratio: A: B = D: C (the answer is not unique); so the answer is: A: B = D: C (the answer is not unique)



As shown in the figure, in quadrilateral ABCD, ab ‖ CD, ∠ B = ∠ D. proof: quadrilateral ABCD is parallelogram


It is proved that: ∵ ab ‖ CD, ≌ △ ACD (AAS), ∥ AB = CD, ∥ AB = CD, ab ‖ CD, ∥ quadrilateral ABCD is parallelogram in △ ABC and △ ACD



In quadrilateral ABCD, from the ratio of degree of ∠ a, B, C and D, it is ()
A. 1:2:3:4B. 2:3:2:3C. 2:2:3:3D. 1:2:2:3


According to the fact that the two diagonals of the parallelogram are equal, we can see that B is correct. So we choose B



It is known that in the quadrilateral ABCD, the ratio of the degree of angle a, angle B, angle c and angle D is 1:2:3:4, then what shape is the quadrilateral ABCD
emergency


The inner angle of the quadrilateral is 360 degrees, so the four angles are 36 degrees, 72108144 degrees, so the angle B + angle c = 180 degrees, so AB is parallel to CD, so trapezoid



In the quadrilateral ABCD, ∠ a + ∠ B = 210 ° and ∠ C = 4 ∠ D


Let ∠ d = x °, then ∠ C = 4x °, according to the theorem of the sum of internal angles of quadrilateral, we can get: 210 + X + 4x = 360 °, that is, 210 + X + 4x = 360, the solution is: x = 30, then ∠ C = 4 × 30 = 120 °



It is known that in the quadrilateral ABCD, the ratio of degree of ∠ a, ∠ B, ∠ C, ∠ D is 1:2:3:4, then the quadrilateral ABCD is_____ Shape
Such as the title


In the quadrilateral ABCD, the ratio of degree of a, B, C and D is 1:2:3:4,
Then: ﹥ B = 2 ﹥ a, ﹥ C = 3 ﹥ a, ﹥ d = 4 ﹥ a
And: ∠ a + ∠ B + ∠ C + ∠ d = 360 degree
Substituting: 10 ∠ a = 360 degree
∠A=36°,∠B=72°,∠C=108°∠D=144°
Because: ∠ a + ∠ d = ∠ B + ∠ C = 180 °
So: ABCD is trapezoid