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Is parallelogram the only centrosymmetric figure in quadrilateral? Why? In addition to the general parallelogram, the "parallelogram" mentioned in the question also includes special parallelogram, such as square, rectangle and diamond. I don't know if there are other parallelograms (such as trapezoid, etc.) besides parallelogram in the quadrangle, whether there are also centrosymmetric figures in other quadrangles (such as trapezoid, etc.) In addition, the definition of quadrilateral in junior high school mathematics textbook is as follows: in the same plane, it is a graph composed of four line segments which are not on the same line. It seems that the definition of quadrilateral should be divided into convex quadrilateral and concave quadrilateral
No, it can be said that it is,
Because square, rectangle and diamond are all centrosymmetric figures, but they are all special cases of parallelogram
RELATED INFORMATIONS
- 1. Prove: if a quadrilateral is a centrosymmetric figure, and the intersection of its two diagonals is the center of symmetry, then it is a parallelogram (hint: prove that the diagonals of the two quadrilaterals are equally divided)
- 2. If a quadrilateral is a centrosymmetric figure, then the quadrilateral is a centrosymmetric figure_____ Quadrilateral, based on______________
- 3. The quadrilateral is not only an axisymmetric figure, but also a centrosymmetric figure______ ．
- 4. The two quadrangles of an axisymmetric figure are also centrosymmetric figures
- 5. A quadrilateral is a centrosymmetric figure and an axisymmetric figure_____________ .
- 6. Is an equilateral triangle an axisymmetric figure? How many axes does it have? What line segments are they
- 7. An equilateral triangle is an axisymmetric figure. It has () axes of symmetry
- 8. The line segment connected to the corresponding point of an axisymmetric figure is divided into symmetry axis (), corresponding line segment (), corresponding angle ()
- 9. [emergency help] ask for the answer in two hours: in the triangular prism abc-a1b1c1, the side edge Aa1 is vertical to the bottom ABC.AB Vertical BC, D is the midpoint of AC, A1A = a [emergency help] ask for the answer in two hours: in the triangular prism abc-a1b1c1, the side edge Aa1 is vertical to the bottom ABC.AB Vertical BC, D is the midpoint of AC, A1A = AB = 2, BC = 3. Find (1) proof: Ab1 parallel BC1D (2) find the volume of pyramid b-aa1c1d9
- 10. As shown in the figure, in the known trapezoidal ABCD, ad ‖ BC, BC = 3aD, e is a point on the waist AB, connecting CE, (1) if CE ⊥ AB, ab = CD, be = 3aE, find the degree of ∠ B; (2) let the area of △ BCE and quadrilateral AECD be S1 and S2 respectively, and 2S1 = 3s2, try to find the value of beae
- 11. Is a quadrilateral of a centrosymmetric figure necessarily a parallelogram Why?
- 12. What kind of symmetrical figure is a parallelogram Answer before 20:00 on February 19!
- 13. Even if an axisymmetric figure is a centrosymmetric figure, what are the advantages?
- 14. When an object or a figure moves in translation, it moves in the direction of (), but () does not change in direction
- 15. Translation is to move a figure along a certain direction?
- 16. The phenomenon that the graph moves along () or () is translation
- 17. Translation: to move a figure as a whole along a certain line_____ Direction shift is called translation transformation_____ .
- 18. The movement of a graph along a certain () is called translation exchange, or translation for short What are the brackets for
- 19. Move the block horizontally. Why? Does that make the block work vertically
- 20. Is the translation of a figure a parallel moving object? As long as it is not parallel, it is not translation, is it?