Test 3. Symmetry

 1. Copy and complete: A kite has … lines of symmetry.

 а)  2;      b)  4;     

 c)  0;      d)  1.

 2. For each shape below, write down how many lines of symmetry it has and the order of rotational symmetry.

 а)  (i)  3,  (ii)  3;     

 b)  (i)  2,  (ii)  2;     

 c)  (i)  4,  (ii)  4;     

 d)  (i)  2,  (ii)  4.

 3. For each shape below, write down how many lines of symmetry it has and the order of rotational symmetry.

 а)  (i)  4,  (ii)  4;     

 b)  (i)  2,  (ii)  2;     

 c)  (i)  1,  (ii)  1;     

 d)  (i)  2,  (ii)  

4. For each shape below, write down how many lines of symmetry it has and the order of rotational symmetry.

 а)  (i)  2,  (ii)  2;     

 b)  (i)  0,  (ii)  0;     

 c)  (i)  1,  (ii)  1;     

 d)  (i)  3,  (ii)  3.

 5. Name the shapes below and for each shape, write down

(i)  how many lines of symmetry it has and

(ii)  its order of rotational symmetry.

 а)  trapezium  (i)  0  (ii)  1;     

 b)  trapezium  (i)  0  (ii)  0;     

 c)  parallelogram  (i)  0  (ii)  2;     

 d)  kite  (i)  1  (ii)  0.

 6. Name the shapes below and for each shape, write down

(i)  how many lines of symmetry it has and

(ii)  its order of rotational symmetry.

 а)  rhombus  (i)  1  (ii)  1;     

 b)  kite  (i)  1  (ii)  0;     

 c)  trapezium  (i)  0  (ii)  0;     

 d)  rhombus  (i)  2  (ii)  2.

 7. Name the shapes below and for each shape, write down

(i)  how many lines of symmetry it has and

(ii)  its order of rotational symmetry.

 а)  kite  (i)  1  (ii)  0;     

 b)  trapezium  (i)  0  (ii)  0;     

 c)  rhombus  (i)  1  (ii)  1;     

 d)  kite  (i)  1  (ii)  1.

 8. Name the shapes below and for each shape, write down

(i)  how many lines of symmetry it has and

(ii)  its order of rotational symmetry.

 а)  rhombus  (i)  2  (ii)  2;     

 b)  parallelogram  (i)  0  (ii)  2;     

 c)  parallelogram  (i)  0  (ii)  2;     

 d)  rhombus  (i)  0  (ii)  2.

 9. State the order of rotational symmetry for each tile below.

 а)  2;      b)  1;     

 c)  0;      d)  4.

10. State the order of rotational symmetry for each tile below.

 а)  4;      b)  0;     

 c)  2;      d)  1.

11. State the order of rotational symmetry for each tile below.

 а)  1;      b)  4;     

 c)  3;      d)  2.

12. Trace these special quadrilaterals. Draw the diagonal on each shape. Which have diagonals which are also lines of symmetry?

 а)  A,  D,  C,  F;     

 b)  A,  B,  C,  F;     

 c)  A,  B,  C,  E;     

 d)  A,  B,  E,  F.

Test 2. Symmetry

 1. Copy and complete: A square has … lines of symmetry.

 а)  3;      b)  1;     

 c)  2;      d)  4.

 2. Does the square have rotational symmetry?

 а)  yes;      b)  ;     

 c)  now;      d)  .

 3. Trace the square. How many times does it fit into itself when you turn it?

 а)  1;      b)  0;     

 c)  4;      d)  2.

 4. Copy and complete: A square has rotational symmetry of order …

 а)  0;      b)  4;     

 c)  1;      d)  2.

 5. How many lines of symmetry does a rhombus have?  

 а)  4;      b)  1;     

 c)  2;      d)  0.

 6. Does the rhombus have rotational symmetry?

 а)  yes;      b)  ;     

 c)  now;      d)  .

 7. Copy and complete: A rectangle has … lines of symmetry.

 а)  3;      b)  1;     

 c)  4;      d)  2.

 8. Does a rectangle have rotational symmetry?

 а)  ;      b)  yes;     

 c)  ;      d)  now.

 9. Trace the rectangle. How many times does it fit into itself when you turn it?

 а)  1;      b)  4;     

 c)  2;      d)  0.

10. Copy and complete: A rectangle has rotational symmetry of order … .

 а)  2;      b)  1;     

 c)  3;      d)  4.

11. How many lines of symmetry does a parallelogram have?

 а)  2;      b)  0;     

 c)  3;      d)  4.

12. Copy and complete: A parallelogram has rotational symmetry of order … .  

 а)  3;      b)  1;     

 c)  2;      d)  0.

Test 1. Symmetry

 1. Which of these signs have a line of symmetry?

 2. Which of these signs have a line of symmetry?

 3. For each shape write down the order of rotational symmetry (use tracing paper if you wish).

 а)  3;      b)  4;     

 c)  2;      d)  0.

 4. For each shape write down the order of rotational symmetry (use tracing paper if you wish).

 а)  2;      b)  0;     

 c)  3;      d)  1.

 5. For each shape write down the order of rotational symmetry (use tracing paper if you wish).

 а)  0;      b)  4;     

 c)  2;      d)  6.

 6. For each shape write down the order of rotational symmetry (use tracing paper if you wish).

 а)  3;      b)  0;     

 c)  2;      d)  1.

 7. For each shape write down the order of rotational symmetry (use tracing paper if you wish).

 а)  4;      b)  1;     

 c)  2;      d)  3.

 8. For each shape write down the order of rotational symmetry (use tracing paper if you wish).

 а)  1;      b)  2;     

 c)  0;      d)  4.

 9. For each shape write down the order of rotational symmetry (use tracing paper if you wish).

 а)  1;      b)  3;     

 c)  5;      d)  0.

10. For each shape write down the order of rotational symmetry (use tracing paper if you wish).

 а)  3;      b)  5;     

 c)  1;      d)  4.

11. For each shape write down the order of rotational symmetry (use tracing paper if you wish).

 а)  1;      b)  0;     

 c)  3;      d)  2.

12. For each shape write down the order of rotational symmetry (use tracing paper if you wish).

 а)  4;      b)  2;     

 c)  8;      d)  6.

Lesson 32. Symmetry

A shape has a line of symmetry if one side is a reflection of the other along the line. One side folds exactly onto the other along the line.

A shape has rotational symmetry if it fits onto itself when rotated (turned) before it gets back to its starting position.

The shape A fits onto itself three times when rotated through a complete turn. It has rotational symmetry of order three.

If a shape can only fit onto itself in is starting position, it has rotational symmetry of order one.

Test lesson 32

• Test 1
• Test 2
• Test 3

Test 3. Isosceles and equilateral trianqles

 1. Find the angles marked with letters (Exam Question often want reasons. Ask your teacher if you must write down all the reasons)

 а)  t  110⁰;      b)  t  125⁰;     

 c)  t  120⁰;      d)  t  115⁰.

 2. Find the angles marked with letters (Exam Question often want reasons. Ask your teacher if you must write down all the reasons)

 а)  x  38⁰,  y  72⁰,  z  72⁰;     

 b)  x  36⁰,  y  72⁰,  z  72⁰;     

 c)  x  36⁰,  y  74⁰,  z  74⁰;     

 d)  x  35⁰,  y  75⁰,  z  75⁰.

 3. Find the angles marked with letters.

 а)  o  75⁰;      b)  o  70⁰;

 c)  o  72⁰;      d)  o  74⁰.

 4. Find the angles marked with letters.

 а)  r  25⁰,  q  130⁰,  p  50⁰;     

 b)  r  20⁰,  q  130⁰,  p  50⁰;     

 c)  r  25⁰,  q  135⁰,  p  50⁰;     

 d)  r  25⁰,  q  130⁰,  p  40⁰.

 5. Find the angles marked with letters.

 а)  r  74⁰,  s  28⁰,  v  28⁰;     

 b)  r  76⁰,  s  26⁰,  v  26⁰;     

 c)  r  76⁰,  s  28⁰,  v  28⁰;     

 d)  r  75⁰,  s  25⁰,  v  25⁰.

 6. Find the angles marked with letters.

 а)  a  60⁰,  b  60⁰;     

 b)  a  90⁰,  b  90⁰;     

 c)  a  85⁰,  b  85⁰;     

 d)  a  80⁰,  b  80⁰.

 7. Find the angles marked with letters.

 а)  c  62⁰,  d  52⁰,  e  52⁰;     

 b)  c  64⁰,  d  52⁰,  e  52⁰;     

 c)  c  64⁰,  d  54⁰,  e  54⁰;     

 d)  c  60⁰,  d  50⁰,  e  50⁰.

 8. Find the angles marked with letters.

 а)  f  60⁰,  g  120⁰;     

 b)  f  50⁰,  g  130⁰;     

 c)  f  80⁰,  g  100⁰;     

 d)  f  70⁰,  g  110⁰.

 9. Find the angles marked with letters.

 а)  g  65⁰,  r  115⁰;     

 b)  g  55⁰,  r  125⁰;     

 c)  g  60⁰,  r  120⁰;     

 d)  g  80⁰,  r  120⁰.

10. Find the angles marked with letters.

 а)  m  74⁰, l  74⁰;     

 b)  m  72⁰, l  72⁰;     

 c)  m  70⁰, l  70⁰;     

 d)  m  75⁰, l  75⁰.

11. Find the angles marked with letters.

 а)  k  72⁰,  j  54⁰,  i  54⁰;     

 b)  k  74⁰,  j  54⁰,  i  54⁰;     

 c)  k  72⁰,  j  52⁰,  i  52⁰;     

 d)  k  70⁰,  j  50⁰,  i  50⁰.

12. Find the angles marked with letters.

 а)  f  145⁰,  e  35⁰;     

 b)  f  142⁰,  e  36⁰;     

 c)  f  144⁰,  e  38⁰;      

 d)  f  142⁰,  e  38⁰.