Initial Audit - Unit H1: Angles and Symmetry

Initial Diagnostic Audit - Unit H1: Angles and Symmetry

Section H1.2 - Line and Rotational Symmetry

For each of the shapes below, state the number of lines of symmetry and the order of rotational symmetry.

Number of lines of symmetry =
Order of rotational symmetry =

Section H1.3 - Angle Geometry

Calculate the size of angle α and angle β in the diagram below.

(a) Angle α = °

(b) Angle β = °

Calculate the size of the angles a, b and c in the rectangle below.

(a) Angle a = °

(b) Angle b = °

(c) Angle c = °

Section H1.4 - Angles with Parallel and Intersecting Lines

(a) Angle a = °

(b) Angle b = °

In the diagram below, AB = AC and AC is parallel to BD.
Calculate the size of angle α.

Angle α = °

10.

PQRS is a rhombus. The diagonals intersect at O and angle OPQ=27°.
Calculate the size of angle PQS.

Angle PQS = °

Section H1.5 - Angle Symmetry in Regular Polygons

11.

Calculate the size of the interior angle of a regular octagon. Angle = °

12.

Which of these regular polygons has an internal angle of 60°?

13.

Complete this table.

Shape

Sum of interior angles

Triangle
Square

Pentagon

Hexagon

Heptagon

Octagon

180°
360°
°
720°
°
1080°

14.

The formula for the sum of the interior angles in a polygon with n sides is of the form:

sum of interior angles = a(n – b)

What are the values of a and b?
a =
b =

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Produced by Russell Geach for CIMT - March 2014