Math 8 Unit 8 Revision
Polygon
Number of Sides
Triangle
3
Quadrilateral
4
Pentagon
5
Hexagon
6
Heptagon
7
Octagon
8
Nonagon
9
Decagon
10
Hendecagon
11
Dodecagon
12
1 Name the shapes that are being described.
a ‘I have three sides that are all the same length. I have three equal angles. I have three lines of
symmetry and rotational symmetry of order 3.’
b ‘I have four sides. I have one line of symmetry and rotational symmetry of order 1. Two of my angles
are equal. I have two pairs of equal length sides.’
c ‘I have six sides. All my sides are the same length. I have six lines of symmetry and rotational symmetry
of order 6.
d ‘I am a quadrilateral with one line of symmetry and rotational symmetry of order 1. I have two pairs of
sides of equal length, no parallel sides and one pair of equal angles. What shape am I?’
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Describe the similarities and differences between a square and a rhombus
Similarities
-
Opposite angles are __________
All sides the same _________
__________ pairs of parallel sides
Differences
1) All angles in a square are__________.
This is not the case for a rhombus.
2) A square has _________lines of symmetry.
A rhombus has no line symmetry
3) A square has order 4 rotational symmetry.
A rhombus has order ________ rotational symmetry
Work out the perimeter of a semicircle with:
i diameter=20cm
ii diameter=15m
iii radius=8cm
Match each description with the correct shape from the box.
a ‘I have five lines of symmetry and order 5 rotational symmetry.’
b ‘I have no lines of symmetry and order 2 rotational symmetry.’
c ‘I have one line of symmetry and order 1 rotational symmetry.’
d ‘I have eight lines of symmetry and order 8 rotational symmetry.’
e ‘I have no lines of symmetry and order 1 rotational symmetry.’
f ‘I have four lines of symmetry and order 4 rotational symmetry.’
g ‘I have two lines of symmetry and order 2 rotational symmetry.’
Put each shape through this classification flow chart. Write down the letter where each shape comes
out.
a trapezium
b square
c scalene triangle
d rectangle
e rhombus
f isosceles triangle
Calculate the perimeter of this ¾ circle
Calculate the perimeter of this circle, which has d = 4 cm
Copy and complete the table to show a description of the 2D quadrilaterals. The parallelogram has been
done for you
A, B and C are three points on this grid. D is another point on the grid. When D is at (7, 4) quadrilateral
ABDC is a square.
a Point D moves so that quadrilateral ABCD is a parallelogram. What are the coordinates of point D?
b Point D moves so that quadrilateral ABDC is a kite. Write down two possible sets of coordinates for the
point D.