Year 9 - Worksheet 26
Sketch the result if the two
solids are fitted with the
shaded faces together.
IMPOSSIBLE SOLID STRUCTURES
ISBN: 9781877489143
Sketch the following solid on the grid below.
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ANGLE SUM OF THE INTERIOR OF A POLYGON
The angle sum of the interior of a triangle is 180°.
Use this information to complete the table below and discover a formula that
gives the interior angle sum inside any polygon.
Hexagons
Pentagons
Polygon Name
Number
of Sides
Triangle
3
Quadrilateral
4
Pentagon
5
Hexagon
6
Heptagon
7
Octagon
8
Nonagon.
9
Decagon
10
Number
of Triangles
Sum of Interior Angles
Year 9, Worksheet 26, Page 2 - www.mathscentre.co.nz
ISBN: 9781877489143
Rule for interior angles of a polygon:
COORDINATES
1.
On the grid below, plot and join each of these co-ordinates in order.
(0, -2), (-2, -2), (-2, 0), (0, 0), (0, -2), (2, -2), (2, -3), (4, -1), (2, 1), (2, 0)
(0, 0), (0, 2), (1, 2), (-1, 4), (-3, 2), (-2, 2),(-2, 0), (-4, 0), (-4, 1), (-6, -1),
(-4, -3), (-4,-2), (-2, -2), (-2, -4), (-3, -4), (-1, -6), (1, -4), (0, -4), (0, -2).
2.
Complete the figure below so that MN is a line of symmetry.
3.
Write below the co-ordinates of the
new points.
y
P
5
Q
4
3
M
s
2
1
R
0
ISBN: 9781877489143
4.
What is the name of the shape
that has been formed?
-5 -4 -3 -2 -1
-1
-2
1 2 3 4
5
N
x
-3
-4
-5
Year 9, Homework Sheet 26, Page 3 - www.mathscentre.co.nz
CONSTRUCTIONS
The equilateral triangle ABC shown below has sides lengths of 9 cm.
1.
Using a ruler, pencil and compass construct the triangle.
2
Bisect the angle ABC and draw in the line DB.
3.
Measure the angle ADB.
C
D
ADB =
A
B
9 cm
A
4.
Bisect means to divide into . . . . . equal parts.
Bisect at a point.
Bisect an angle.
Bisect from a point.
Year 9, Worksheet 26, Page 4 - www.mathscentre.co.nz
ISBN: 9781877489143
How to bisect using a compass.