How to rotate a triangle 90 ° anticlockwise around point o?

Connect the three vertices of the triangle with O, and rotate the connecting line 90 ° to connect the later points

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1. Draw any △ ABC and make the following rotation: (1) with a as the center, rotate the triangle 40 ° counterclockwise (2) Take B as the center, rotate the triangle clockwise by 60 ° (3) take a point outside the triangle as the center, rotate the triangle clockwise by 120 ° (4) take the midpoint of AC as the center, rotate the triangle 180 ° to get the picture! Hurry
2. If a triangle is rotated 90 ° counterclockwise around a vertex, will each corresponding line segment in the original graph and the rotated graph be perpendicular to each other? Is there such a theorem?
3. As shown in the figure, rotate the right triangle abd 90 counterclockwise around the right vertex a to the position of the triangle ACF. The triangle abd is equal to the triangle ACF. The extension of BD intersects CF with point E and connects BC. If the angle FBE = angle CBE, try to determine the relationship between CE and BD (including the position relationship and quantity relationship),
4. Rotate the triangle ABO 90 degrees counterclockwise around point B
5. As shown in the figure, in the coordinate system, point a (0,4), point B (3,0), rotate the triangle ABO point 90 degrees counterclockwise, so that a falls on the x-axis, point C, and point B falls on the y-axis, point E, connecting CE AB is equal to F. we know that AB is equal to 5
6. As shown in the figure, in the coordinate system, point a (0,4) and point B (3,0) rotate △ ABO counterclockwise around point o 90 ° so that point a falls on point C on the x-axis and point B falls on point E on the y-axis (1) Verification: AE = oc-ob; (2) find the length of CF
7. As shown in the figure, in the plane rectangular coordinate system, ob is on the x-axis, ∠ ABO = 90 ° and the coordinates of point a are (1,2). Rotate △ AOB 90 ° counterclockwise around point a, and the corresponding point C of point O just falls on a branch of hyperbola y = KX. (1) find the analytic formula of hyperbola. (2) the intersection of the straight line passing through point c y = - x + B and the hyperbola is e, and find the coordinates of point E and the area of △ EOC
8. Given a (0,4), B (3,0), P (1,0), in the rectangular coordinate system, O is the origin, and the triangle AOB rotates m counterclockwise around point P (M is greater than 0) Less than 180, get the triangle a1ob1, make the point B1 fall on the edge of the triangle AOB, calculate the coordinates of point B1
9. The vertex a of square ABCD coincides with the origin of coordinates, and the coordinate of vertex B is (0,4), then the coordinate of vertex C is ()
10. Square ABCD with side length 4, where point a is at the origin, point B is at the positive half axis of X axis, and point D is at the negative half axis of Y axis, what are the coordinates of the four vertices? Such as the title
11. How to draw a triangle by turning it 90 ° anticlockwise around its outer point?
12. The ABC coordinate of triangle is known as a (- 6,4) B (- 3,6) C (- 1,2). Rotate the triangle 90 ° clockwise around point C 1. Find the coordinates of a and B after rotation 2. Calculate the area of the rotated figure ABCA
13. A (- 1,0) B (- 1,1), then the coordinates of a and B of the triangle ABO after rotating 45 degrees clockwise A and B coordinates when rotating 135 degrees clockwise
14. Given that the coordinates of point P are (1,1), if point P is rotated 15 ° counterclockwise around the origin o of coordinates to get point Q, then the coordinates of point q are (,)
15. The coordinates of point Q obtained by rotating point P (2,0) 90 ° counterclockwise around the origin o are____ 1. Point P (- 5,1-t) and point Q (k, 4) are symmetric with respect to the origin Then the value of 3k-2t is () A.-25 B.25 C.5 D.-5
16. Point P (- 3,1) the coordinates of the point obtained by rotating point P 90 ° around the origin are? (in two cases, clockwise and counterclockwise)
17. The equation of a straight line with y = 2x + 1 rotated 90 degrees anticlockwise and passing through point (1,2)
18. If the line y = x + 3-1 is rotated 15 ° counterclockwise around a point (1, 3) above it, the equation of the line is______ ．
19. The abscissa of a point P on the line X-Y + 1 = 0 is 3. If the line rotates 90 ° counterclockwise around the point P to get a line L, then the equation of line L is______ ．
20. Given that the line x = 2Y + 2, how can we know the linear equation that the line rotates 90 degrees (such as counterclockwise), if we can, rotate any angle