Is an equilateral triangle a centrosymmetric figure?
no
Definition of centrosymmetric figure: in the same plane, if a figure is rotated 180 ° around an internal point, the rotated figure can completely coincide with the original figure, then the figure is called centrosymmetric figure. Regular triangle can't, so it's not
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- 1. Are rays, equilateral triangles and pentagons centrosymmetric? Why? RT
- 2. Are regular octagons and regular triangles centrosymmetric
- 3. Equilateral triangles are both axisymmetric and centrosymmetric, right
- 4. How to draw centrosymmetric figure in mathematics? For example, how to draw when you rotate 180 ° around a certain point?
- 5. How to draw a centrosymmetric figure?
- 6. As shown in the figure, given points a (- 2,0), B (3,0), point C is on the Y axis, and the area of △ ABC is 15, then the coordinate of point C is
- 7. As shown in the figure, a (0,2), B (1,0) BC are bisected by y-axis, and the area of triangle ABC is 3. Calculate the coordinates of point C Point C is in the third quadrant
- 8. As shown in the figure, a (1,0) B (4,0), point C is on the positive half axis of Y axis. If the area of angle ABC is 6, find the coordinates of point C
- 9. In the triangle ABC, the angle c = 90 degrees, the circle with a point o on AB as the center and the length of OA as the radius is tangent to BC at points D, AC and ab at points E and f respectively (1) If AC = 6, ab = 10, find the radius of ⊙ o; (2) connect OE, ED, DF, EF, if the quadrilateral bdef is a parallelogram, try to judge the shape of ofDe and explain the reason
- 10. The surface area of the geometric figure obtained by rotating the rectangle with the side length of 2cm and 4cm around one side is?
- 11. Are isosceles triangles and equilateral triangles centrosymmetric?
- 12. Please draw ABC's centrosymmetric figure about point d with ruler drawing method
- 13. Finding the inscribed circle of triangle ABC What about the vertical line from the center to the edge? It's a ruler. You can't use a scale. Only compasses and pens.
- 14. Known: a (0,1), B (2,0), C (4,3) (1) find the area of triangle ABC (2) point P on the coordinate axis, and triangle ABP and triangle ABC
- 15. It is known that a (0,1) B (2,0) C (4,3) (1) finds the area of the triangle, and (2) sets the point P on the coordinate axis, and the triangle ABP corresponds to the area of the triangle ABC Finding the p-coordinate of a point Mainly (2) Talk about it
- 16. In triangle ABC is equilateral triangle, if angle Abe = angle BCF = angle CAD, is triangle def equilateral triangle? Why?
- 17. As shown in the figure, △ ABC is an equilateral triangle, points D, e and F are on the sides of AB, BC and Ca respectively, and △ DEF is an equilateral triangle. Proof: △ ADF ≌ △ CFE
- 18. It is known that ⊙ o is the inscribed circle of △ ABC, and the tangent points are D, e and F. let ⊙ a = x, ⊙ EDF = y, and find the functional relationship between Y and X
- 19. Circle O is the inscribed circle of triangle ABC, D, e and F are the tangent points. What are the characteristics of the shape of triangle def? Please explain the reasons
- 20. If the inscribed circle of triangle ABC and the tangent points of three sides are D, e and f respectively, the triangle def must be an acute triangle Why?