AMC 8 2022 Problem 4

AMC8 2022 年第 4 题

变换与对称★★☆☆☆
The letter M in the figure below is first reflected over the line q and then reflected over the line p . What is the resulting image?
下图中的字母 M 首先沿着直线q反射,然后沿着直线p反射。问所得到的图像是怎样的?
AMC 8 2022 Problem 4 figure
  1. A.选项 A 图示
  2. B.选项 B 图示
  3. C.选项 C 图示
  4. D.选项 D 图示
  5. E.选项 E 图示

正确答案 · Correct Answer

E

解析 · Solution

Solution 1

Reflecting the given figure over the line 𝑞 q results in a sideways M M located below the line 𝑞 q and above the line 𝑝 p, as shown in the middle figure below. Then reflecting that figure over the line 𝑝 p results in the figure in choice ( 𝐸 ) (E). Answer: 𝐸 E ​.

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