CAPS · Grade 8 · C
On the grid, the point A(4; −2) is shown. The point is first rotated 180° about the origin, then reflected in the line y=xy=xy=x, and finally rotated 90° anticlockwise about the origin. Write down the coordinates of A‴, the final image after all three transformations.
On the grid, the line segment AB has endpoints A(−1; 1) and B(2; 2), as shown. The segment is first enlarged by scale factor 3, centre the origin and then rotated 180° about the origin. Write down the coordinates of A″ and B″, the final image after both transformations.
On the grid, the point A(−4; 3) is shown. A is first rotated 90° anticlockwise about the origin to give A′. A second transformation then maps A′ onto A″(3; 4). Describe the second transformation fully. (It is a single reflection, rotation or enlargement.)
On the grid, the point A(2; 5) is shown. The point is first reflected in the line y=xy=xy=x and then reflected in the y-axis. Write down the coordinates of A″, the final image after both transformations.
On the grid, △ABC has vertices A(−6; −5), B(2; −2) and C(−4; 1), as shown. The triangle is first rotated 90° anticlockwise about the origin and then reflected in the x-axis. Write down the coordinates of A″, B″ and C″, the final image after both transformations.
On the grid, the line segment AB has endpoints A(−1; 2) and B(−4; −2), as shown. The segment is first rotated 90° clockwise about the origin, then translated 3 units right and 2 units down, and finally reflected in the x-axis. Write down the coordinates of A‴ and B‴, the final image after all three transformations.
On the grid, △ABC has vertices A(3; −2), B(−2; −3) and C(−3; 1), as shown. The triangle is first rotated 180° about the origin; a second transformation then maps the result onto the dashed image A″B″C″, with A landing on A″(2; 3). Describe the second transformation fully. (It is a single reflection, rotation or enlargement.)
On the grid, the point A(6; −4) is shown. The point is first reflected in the line y=xy=xy=x, then rotated 90° clockwise about the origin, and finally reflected in the y-axis. Write down the coordinates of A‴, the final image after all three transformations.
On the grid, the point A(−2; −1) is shown. The point is first translated 3 units left and 3 units down and then reflected in the line y=xy=xy=x. Write down the coordinates of A″, the final image after both transformations.
On the grid, △ABC has vertices A(0; −3), B(−6; 0) and C(2; 2), as shown. The triangle is first rotated 180° about the origin and then translated 4 units left and 3 units up. Write down the coordinates of A″, B″ and C″, the final image after both transformations.
On the grid, the line segment AB has endpoints A(−5; −2) and B(−4; −6), as shown. The segment is first rotated 90° clockwise about the origin and then rotated 90° clockwise about the origin. Write down the coordinates of A″ and B″, the final image after both transformations.
On the grid, the line segment AB has endpoints A(2; 2) and B(1; 0), as shown. The segment is first reflected in the x-axis and then rotated 90° anticlockwise about the origin. Write down the coordinates of A″ and B″, the final image after both transformations.