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As shown in the figure, △ ABC rotates 90 ° clockwise around point O and reaches the position of △ CDE (A) Line AB and line CD are perpendicular to each other (B) Segment AC and segment CE are perpendicular to each other (C) Segment BC and segment de are perpendicular to each other (D) Point C and point C are the corresponding points of two triangles
According to the meaning of the question, a, B and C rotate 90 ° clockwise around o to C, D and e respectively, and then there are: ∠ AOC = 90 °, ∠ COE = 90 ° and ∠ BOD = 90 °, so AOE three points are collinear, Co ⊥ AE. If you choose D and B to make ∠ BOD = 90 °, you can find that the first three options are right, so the incorrect one is d option. The C point of two triangles is not the corresponding point, but a point corresponds to C point
RELATED INFORMATIONS
- 1. Figure translation is determined by () and ()
- 2. 1. The key to determine the position of the figure after translation is translation () and () 2. The key to determine the position of the figure after rotation is rotation () and ()
- 3. ① Translation by moving___ And___ The translated image is the same as the original image___ The position relation of the connecting line of the corresponding point is___ . ② Rotation by___ ,___ And___ The rotated image is the same as the original image___ . ③ Centrosymmetry is a special rotation whose degree of rotation angle is___ The line of the corresponding point is closed___ Square ④ What is the intersection point of the straight line where the corresponding points of two similar figures are located___ . ⑤ If an image is both an axisymmetric image and a centrosymmetric image, then the image can be___ .
- 4. A graph is shifted from the third quadrant to the fourth quadrant. Compare the coordinates of each vertex and the position of the graph. What conclusion can you get
- 5. After a figure is translated to a certain position, all the points on the figure are translated in the direction () and the distance of translation（
- 6. If you translate the triangle one lattice to the left, can you show the positions of the three vertices of the triangle with pairs of numbers
- 7. It is known that the line y = 1 / 2x + 3 intersects the two coordinate axes at two points a and B. the image of the quadratic function y = - x ^ 2 / 4 is translated left and right first, and then up and down twice, so that it passes through points a and B to find the vertex coordinates of the translated image
- 8. The cube with edge length a is placed in the shape shown in the figure. (1) try to find its surface area; (2) if it is placed in 10 layers, what is its surface area?
- 9. In the class of "bisector of angle", the teacher asked the students to practice a problem. The figure of the problem is shown in the figure. BD in the figure is the bisector of ABC. While the students were busy drawing and analyzing the problem, Xiaoying suddenly said excitedly: "I have a discovery!" Originally, she felt that she had created a method to draw the acute bisector in a right triangle. Her method is as follows: take a point E on AB, make be = BC, and then draw de ⊥ AB and AC at point D, then BD is the bisector of ∠ ABC? Please give reasons
- 10. After learning Chapter 2 "special triangles", the teacher assigned a question: as shown in the figure, points m and N are on the sides of BC and Ca of the regular triangle ABC, and BM = CN, am and BN intersect at point Q. (3) if the points m and N in the question are moved to the extension line of BC and Ca, and BM = CN, can we get ∠ BQM = 60 °? Please give reasons (1) Judge whether △ ABM and △ BCN are congruent and explain the reason. (2) judge whether ∠ BQM is equal to 60 ° and explain the reason
- 11. When the object or figure is translated, the position () size and direction (). A does not change, B changes, C cannot be determined
- 12. After a figure is enlarged or reduced, although the length of each side changes, the shape of the figure does not change
- 13. After a figure rotates, its position changes and its shape remains unchanged. Is that right?
- 14. A figure is rotated 180 ° and the shape and size of the rotated figure are compared with that of the original figure (), but the upper and lower relations () are filled in brackets unchanged
- 15. After the figure is rotated, the position changes and the size remains unchanged
- 16. After translation, the graph corresponds to the line segment of the original graph, and the 〔〕 and 〕 of the 〕 graph do not change
- 17. Translation: after translation, () parallel or () equal, () equal, () the connected line segments are parallel and equal. Translation transformation does not change the shape, size and direction of graphics
- 18. In the process of translation, the line segments connected by the corresponding points can only be parallel, not on the same line?
- 19. Xiao Ming participated in the survival summer camp organized by the school (in the northern hemisphere), and learned a lot of knowledge and skills about survival in the wild. He can use the shadow to distinguish the direction. As shown in the picture As shown in Figure 6, around noon, draw the running track of the shadow on the top of the vertical bar on the ground with the method of tracing points, find out the point a nearest to o, and OA will indicate_________ (choose "North-South" or "East-West") direction____________________________ ； Tell me how to do it I know the answer, but I don't know how to solve it
- 20. Where do you use bar charts in your life