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Constructions

Use the standard ruler and compass constructions from the given information then check your accuracy

Pairs Level 1 Level 2 Exam-Style Scale Drawings Description Help Video More Construction Loci

This is level 1; Construct the diagrams using a ruler and pair of compasses. Give your answers in centimetres to one decimal place.

1. At the top of a page draw a horizontal straight line, AB, 12cm long. Point C lies on this line exactly 3cm from the point A. Draw the point D further down the page such that AD is 9cm and BD is 11cm. Measure the distance CD.	cm
2. In the centre of a page draw a vertical line, AC, that is 9cm long. DB is 7cm long and is the perpendicular bisector of AC and AC is the perpendicular bisector of DB. Measure the length of one side of rhombus ABCD.	cm
3. Draw triangle ABC such that: AB is 7.7cm, BC is 10cm and CA is 10.5cm. Use compasses and ruler to bisect the angle BÂC and extend this bisector until it reaches line BC at point D. Measure the distance CD.	cm
4. Draw the perpendicular bisector of a 13.6cm horizontal line and use it to draw an isoceles triangle of height 10.2cm. What is the length of either of the two sloping sides of the triangle.	cm
5. XY is the diameter of a semicircle. XY is of length 11.2cm. The point Z lies on the curved side of the semicircle such that XZ is 5.8cm. What is the distance from Z to Y?	cm

This is Constructions level 1. You can also try:
Level 2

Instructions Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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Description of Levels

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Level 1 - Construct the diagrams using a ruler and pair of compasses

Level 2 - Construct the diagrams using a ruler and protractor

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

Loci including lesson Starters, visual aids and investigations.

Scale Drawings - Use the online tools to measure and construct scale drawings.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Example

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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