Pre-Secondary One Hong Kong Attainment Test · Mathematics

Basic geometric figures (angles, sides, symmetry): Practice Questions

4 multiple-choice questions marked as you go, and 3 written questions with worked solutions. All on Basic geometric figures (angles, sides, symmetry).

7 questions13 marksFree, no account

Question 1

1 mark

Which of the following geometric figures has exactly two lines of symmetry?

Question 2

1 mark

In an isosceles triangle \(ABC\), the vertex angle \(A\) is \(40^{\circ}\). If sides \(AB\) and \(AC\) are equal in length, find the size of the base angle \(B\).

Question 3

1 mark

A clock shows 08:45. What is the smaller angle formed between the hour hand and the minute hand?

Question 4

1 mark

In a triangle, the first angle is \(45^{\circ}\) and the second angle is \(75^{\circ}\). What is the size of the third angle?

Question 5

2 marks

A polygon has 5 sides of equal length. What is the name of this polygon? How many lines of symmetry does it have if it is a regular polygon?

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Question 6

3 marks

In triangle \(PQR\), side \(PQ = PR\). If the vertex angle \(\angle QPR\) is \(40^{\circ}\), calculate the size of the base angle \(\angle PQR\).

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Question 7

4 marks

In the figure, there is a quadrilateral \(ABCD\).
(a) If \(AB\) is parallel to \(DC\), and \(AD\) is parallel to \(BC\), and all four sides are equal in length, what is the name of this geometric figure?
(b) If the figure has exactly one pair of parallel sides (\(AD\) and \(BC\)) and the distance between these two sides is \(10\text{ cm}\), what type of quadrilateral is it?
(c) A shape has \(4\) equal sides and \(4\) right angles. How many lines of symmetry does this shape have?

Write your answer out first, then check it against the worked solution.

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