Axial symmetry：練習問題

Which of the following capital letters has more than one line of symmetry?

A figure is formed by reflecting a shape across a vertical line of symmetry and then rotating it \(180^{\circ}\) clockwise about a point on that line. Which of the following describes the relationship between the original shape and the final shape?

A shape is placed in a coordinate plane. If it is reflected across a horizontal line and then translated 5 units to the right, which property of the shape remains unchanged?

An equilateral triangle \(ABC\) is rotated \(60^{\circ}\) clockwise about its centroid \(G\). Then, it is reflected across a line passing through vertex \(A\) and the midpoint of the opposite side. How many lines of symmetry does the final figure have?

A square is rotated \(90^{\circ}\) clockwise about its center point \(O\), followed by a reflection across its vertical axis of symmetry. If the vertices were originally labeled \(A, B, C, D\) in clockwise order starting from the top-left, where is point \(A\) located after both transformations?

A square is rotated clockwise about its center by \(90^{\circ}\). How many lines of symmetry does the square have before and after this rotation?

A rectangle with vertices at \(P(1, 2)\), \(Q(4, 2)\), \(R(4, 4)\), and \(S(1, 4)\) is translated \(3\) units to the left and then reflected across the x-axis. Find the new coordinates of vertex \(R\).

A point \(A(3, 4)\) is reflected across the y-axis to point \(B\). Point \(B\) is then translated \(5\) units downwards to point \(C\). Find the coordinates of point \(C\) and determine the area of the triangle formed by origin \(O(0,0)\), point \(A\), and point \(B\).