∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 8–9 · Geometry of 2D Shapes
Construction of Geometric Figures
EXAM-STYLE CLASS TEST
Marks
29
Duration
45 minutes
Questions
3
Name:
Class:
Date:
Mark
/ 29
Instructions and Information
- Answer ALL the questions in this question paper.
- Answer QUESTION 1 by circling the letter (A–D) in the answer grid at the end of that section.
- Show ALL calculations clearly.
- Show all units where applicable.
- Number the answers correctly according to the numbering system used in this question paper.
- A non-programmable calculator may be used, unless stated otherwise.
- Write neatly and legibly.
Question 1
[10 MARKS]Four options are given as possible answers to the following questions. Choose the correct answer and circle the letter (A–D) in the grid at the end of this section. If you want to change your choice, put a cross through the wrong letter and circle your new choice.
- 1.1Which instrument is used to draw a circle of a given radius?(1)A)protractorB)set squareC)rulerD)pair of compasses
- 1.2Which instrument measures the SIZE of an angle?(1)A)compassesB)pencilC)rulerD)protractor
- 1.3To BISECT a line segment means to …(1)A)cut it into two equal partsB)measure itC)draw it longerD)draw it at 90°
- 1.4The perpendicular bisector of AB …(1)A)is parallel to ABB)passes through A onlyC)cuts AB in half at 90°D)is longer than AB
- 1.5Before a triangle can be constructed from three given sides, the sides must satisfy …(1)A)one being a right angleB)all being equalC)the sum of any two being GREATER than the thirdD)all being different
- 1.6Which set of lengths CANNOT form a triangle?(1)A)2 cm, 3 cm, 6 cmB)5 cm, 5 cm, 5 cmC)3 cm, 4 cm, 5 cmD)6 cm, 8 cm, 10 cm
- 1.7A 60° angle can be constructed with compasses alone because it is the angle of …(1)A)a squareB)a hexagon's interiorC)a straight lineD)an equilateral triangle
- 1.8The angles of ANY triangle add up to …(1)A)180°B)270°C)360°D)90°
- 1.9To construct a line parallel to a given line, you copy …(1)A)the midpointB)the corresponding angleC)the perpendicularD)the length
- 1.10Arcs drawn during a construction should be …(1)A)rubbed out afterwardsB)left showingC)drawn in penD)drawn freehand
Answer grid — circle your answers for Question 1
| 1.1 | A | B | C | D |
| 1.2 | A | B | C | D |
| 1.3 | A | B | C | D |
| 1.4 | A | B | C | D |
| 1.5 | A | B | C | D |
| 1.6 | A | B | C | D |
| 1.7 | A | B | C | D |
| 1.8 | A | B | C | D |
| 1.9 | A | B | C | D |
| 1.10 | A | B | C | D |
Question 2
[11 MARKS]Answer the following about constructions. You may use only a ruler and a pair of compasses, and you must leave all your construction arcs showing.
- 2.1Describe, step by step, how you would construct the perpendicular bisector of a line segment AB.(4)
- 2.2Explain why the compass radius must be MORE than half of AB.(3)
- 2.3Describe how you would construct an angle of 60° without using a protractor, and explain why the method works.(4)
Question 3
[8 MARKS]A learner is asked to construct a triangle with sides of 7 cm, 9 cm and 13 cm, as sketched below.
- 3.1Show by calculation that this triangle CAN be constructed.(3)
- 3.2A second learner is asked to construct a triangle with sides 5 cm, 6 cm and 12 cm. Explain why this is impossible.(3)
- 3.3Write down the general rule you used in the two questions above.(2)
TOTAL: 29 marks
This question paper consists of 3 questions.