Related InterviewSolutions

• The point A (-3, 2) is reflected in the x-axis to the point A’. Point A’ is then reflected in the origin to point A”. (i) Write down the co-ordinates of A”.(ii) Write down a single transformation that maps A onto A”.
• The point A (4, 6) is first reflected in the origin to point A’. Point A’ is then reflected in the y-axis to the point A”.(i) Write down the co-ordinates of A”. (ii) Write down a single transformation that maps A onto A”.
• The triangle ABC, where A is (2, 6), B is (-3, 5) and C is (4, 7), is reflected in the y-axis to triangle A’B’C’. Triangle A’B’C’ is then reflected in the origin to triangle A”B”C”.(i) Write down the co-ordinates of A”, B” and C”. (ii) Write down a single transformation that maps triangle ABC onto triangle A”B”C”.
• The point (-2, 0) on reflection in a line is mapped to (2, 0) and the point (5, -6) on reflection in the same line is mapped to (-5, -6).(i) State the name of the mirror line and write its equation. (ii) State the co-ordinates of the image of (-8, -5) in the mirror line.
• The point (-5, 0) on reflection in a line is mapped as (5, 0) and the point (-2, -6) on reflection in the same line is mapped as (2, -6). (a) Name the line of reflection. (b) Write down the co-ordinates of the image of (5, -8) in the line obtained in (a).
• P and Q have co-ordinates (-2, 3) and (5, 4) respectively. Reflect P in the x-axis to P’ and Q in the y-axis to Q’. State the co-ordinates of P’ and Q’.
• Points (3, 0) and (-1, 0) are invariant points under reflection in the line L1; points (0, -3) and (0, 1) are invariant points on reflection in line L2. (i) Name or write equations for the lines L1 and L2. (ii) Write down the images of the points P (3, 4) and Q (-5, -2) on reflection in line L1. Name the images as P’ and Q’ respectively. (iii) Write down the images of P and Q on reflection in L2. Name the images as P” and Q” respectively. (iv) State or describe a single transformation that maps P’ onto P”.
• Point A (4, -1) is reflected as A’ in the y-axis. Point B on reflection in the x-axis is mapped as B’ (-2, 5). Write down the co-ordinates of A’ and B.
• Find the image of point (4, -6) under the following operations:(i) Mx . My (ii) My . Mx (iii) MO . Mx (iv) Mx . MO (v) MO . My (vi) My . MO Write down a single transformation equivalent to each operation given above. State whether: (a) MO . Mx = Mx . MO(b) My . MO = MO . My
• (i) Point P (a, b) is reflected in the x-axis to P’ (5, -2). Write down the values of a and b. (ii) P” is the image of P when reflected in the y-axis. Write down the co-ordinates of P”. (iii) Name a single transformation that maps P’ to P”.