Symmetry

Which of the following figures has only ONE line of symmetry?

(1) a parallelogram   (2) a regular pentagon   (3) an isosceles trapezium   (4) a rectangle

answer (1) (2) (3) (4)

Look at the figure below — shaded squares on a 6 × 6 grid, with a dashed diagonal line running from the bottom-left corner to the top-right. Which one of the options will form a symmetric figure with the above, about that dashed line?

  the dashed line is the MIRROR. The option must hold the reflection of
  every shaded square across it — same distance from the line, other side.

(1) Option 1   (2) Option 2   (3) Option 3   (4) Option 4

answer (1) (2) (3) (4)

A figure folded in half along the dotted line of symmetry is shown: below a horizontal dotted line sit two half-circles, each with one dot and a single stroke leaning to the right. Which of the following figures is the symmetric figure when opened up?

  - - - - - - - - - - - -   <- the fold line (horizontal)
  |  (   .   /  )  (   .   /  )  |
  +------------------------------+

  everything shown is the BOTTOM half;
  opening up mirrors it UPWARDS

(A) two faces, dots stacked, each with a stroke still leaning one way ( / )   (B) two faces, dots stacked, each with a curve bulging right ( ) )   (C) two faces, dots side by side, each with a smile underneath   (D) two faces mirrored left-to-right — one ) and one (

answer (A) (B) (C) (D)

Four different shapes J, K, L and M are shown below. Which of the following figures are symmetrical?

    /\              ______
   /  \            /      \
  /    \          /        \
 /______\        /__________\
    J                 K

  ________          ____
 |        |        /    /
 |        |       /    /
 |________|      /____/
    L               M

 J  isosceles triangle      K  isosceles trapezium
 L  square                  M  slanted parallelogram

(1) J and K only   (2) J, K and L only   (3) J, K and M only   (4) J, K, L and M

answer (1) (2) (3) (4)