четверг, 30 марта 2017 г.

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.
 аtrapezium  (i)  0  (ii)  1;     
 b)  trapezium  (i)  0  (ii)  0;     
 cparallelogram  (i)  0  (ii)  2;     
 dkite  (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.
 аrhombus  (i)  1  (ii)  1;     
 bkite  (i)  1  (ii)  0;     
 ctrapezium  (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;     
 btrapezium  (i)  0  (ii)  0;     
 crhombus  (i)  1  (ii)  1;     
 dkite  (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.
 аrhombus  (i)  2  (ii)  2;     
 b)  parallelogram  (i)  0  (ii)  2;     
 cparallelogram  (i)  0  (ii)  2;     
 drhombus  (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?
 аA,  D,  C,  F;     
 b)  A,  B,  C,  F;     
 cA,  B,  C,  E;     
 dA,  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)  ;     
 cnow;      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)  ;     
 cnow;      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)  ;      dnow.

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

 а1;      b4;     
 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?

 а2;      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

среда, 29 марта 2017 г.

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)
 аt  110;      bt  125;     
 c)  t  120;      dt  115.

 2. Find the angles marked with letters (Exam Question often want reasons. Ask your teacher if you must write down all the reasons)
 аx  38y  72z  72;     
 b)  x  36y  72z  72;     
 cx  36y  74z  74;     
 dx  35y  75z  75.

 3. Find the angles marked with letters.
 аo  75;      bo  70;
 co  72;      d)  o  74.

 4. Find the angles marked with letters.
 а)  r  25q  130,  p  50;     
 br  20q  130p  50;     
 cr  25q  135p  50;     
 dr  25q  130p  40.

 5. Find the angles marked with letters.
 аr  74s  28v  28;     
 br  76s  26v  26;     
 c)  r  76s  28v  28;     
 dr  75s  25v  25.

 6. Find the angles marked with letters.
 аa  60b  60;     
 ba  90b  90;     
 ca  85b  85;     
 d)  a  80b  80.

 7. Find the angles marked with letters.
 аc  62d  52⁰,  e  52;     
 b)  c  64d  52⁰,  e  52;     
 cc  64d  54⁰,  e  54;     
 dc  60d  50⁰,  e  50.

 8. Find the angles marked with letters.
 а)  f  60g  120;     
 bf  50g  130;     
 cf  80g  100;     
 df  70g  110.

 9. Find the angles marked with letters.
 аg  65r  115;     
 bg  55r  125;     
 c)  g  60r  120;     
 dg  80r  120.

10. Find the angles marked with letters.
 аm  74, l  74;     
 b)  m  72, l  72;     
 cm  70, l  70;     
 dm  75, l  75.

11. Find the angles marked with letters.
 а)  k  72j  54i  54;     
 bk  74j  54i  54;     
 ck  72j  52i  52;     
 dk  70j  50i  50.

12. Find the angles marked with letters.
 аf  145e  35;     
 bf  142e  36;     
 cf  144e  38;      
 d)  f  142e  38.