Name:
CH
Date:
APTER
13
Symmetry
PROBLEM SOLVING
Thinking Skills
1.
Draw a line of symmetry on the figure.
2.
All sides of the figure are equal in length. How many lines of symmetry are
there in the figure?
50
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
Solve.
Chapter 13 Symmetry
MS_Enrich_4B_Ch13_50-58.indd 50
2/25/09 10:49:56 AM
Name:
Date:
Shade.
The figure is made up of 25 squares. Shade 5 more squares so that the
figure has 4 lines of symmetry.
4.
Shade the figures that have rotational symmetry and at least one line
of symmetry.
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
3.
Enrichment 4B
MS_Enrich_4B_Ch13_50-58.indd 51
51
2/25/09 10:49:56 AM
Name:
Date:
Answer the question.
How many letters in each of these words have rotational symmetry and
line symmetry?
5.
UNITED
STATES
OF
AMERICA
Draw.
Gillian folds a piece of paper and cuts out a shape as shown.
Draw the shape when the paper is unfolded.
fold line
52
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
6.
Chapter 13 Symmetry
MS_Enrich_4B_Ch13_50-58.indd 52
9/29/09 12:03:25 PM
Name:
Date:
Shade and draw.
Shade 9 squares so that the figure has a line of symmetry.
Draw the line of symmetry.
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
7.
Enrichment 4B
MS_Enrich_4B_Ch13_50-58.indd 53
53
9/29/09 3:23:13 PM
Name:
Date:
PROBLEM SOLVING
Strategies
Solve.
8.
3
1
_
-turn
counterclockwise,
a
After rotating a _
4
4 -turn clockwise, and
1
another _
2 -turn clockwise about point O, figure A rests in this final position.
Draw the original position of figure A.
O
9.
Felicia is making a pattern using symmetric shapes.
She has made three designs.
How many squares will she need to make the fifth design?
First
54
Second
Third
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
A
Chapter 13 Symmetry
MS_Enrich_4B_Ch13_50-58.indd 54
9/29/09 12:04:34 PM
Name:
Date:
PROBLEM SOLVING
Exploration
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
Draw.
10.
Jack and Jade play a game. Jack starts by drawing a square on a grid.
Jade continues by drawing the least number of squares needed to make
the next symmetric figure. They take turns drawing the next symmetric figure.
Draw the possible symmetric figures they could draw at each stage.
11.
In the next game, Jade begins with a triangle. Draw the possible symmetric
figures they could draw at each stage.
Enrichment 4B
MS_Enrich_4B_Ch13_50-58.indd 55
55
9/29/09 12:04:45 PM
Name:
Date:
Draw.
Draw 3 figures that have rotational symmetry.
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
12.
56
Chapter 13 Symmetry
MS_Enrich_4B_Ch13_50-58.indd 56
2/25/09 10:49:58 AM
Name:
Date:
Journal Writing
Write the steps.
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
13.
The figure shows only half of a symmetric shape.
Write the steps needed to complete the symmetric figure.
Step 1
Step 2
Step 3
Step 4
Enrichment 4B
MS_Enrich_4B_Ch13_50-58.indd 57
57
2/25/09 10:49:58 AM
Name:
Date:
Write the steps.
14.
The figure shows a symmetric shape. Write the steps used to find a line
of symmetry.
Step 1
Step 3
Step 4
58
© 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii.
Step 2
Chapter 13 Symmetry
MS_Enrich_4B_Ch13_50-58.indd 58
9/29/09 12:05:14 PM