Transum Software

Congruent Triangles

Recognise the criteria for the congruence of triangles and solve related problems.

Pairs Level 1 Level 2 Level 3 Similar Shapes Exam-Style Description Help More Geometry

This is level 3; Use your knowledge of congruent triangles to find lengths and angles. The diagrams are not drawn to scale. Lengths and angles are not always shown in proportion.

When naming congruent triangles the letter order should correspond.

1.

Question 1
Correct Wrong

2.

Question 2
Correct Wrong

3.

Question 3
Correct Wrong

4.

Question 4
Correct Wrong

5.

Question 5
Correct Wrong

6.

Question 6
Correct Wrong

7.

Question 7
Correct Wrong

8.

Question 8
Correct Wrong

9.

Question 9
Correct Wrong

10.

Question 10
Correct Wrong
Check

This is Congruent Triangles level 3. You can also try:
Level 1 Level 2

Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

Please contact me if you have any suggestions or questions.

Email address

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London:

"I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

Featured Activity

Strategy Games

Strategy Games

We have collected together lots of strategy games for you to enjoy. Many of them have mathematical principles involved in their design so would make a good activity for a Mathematics lesson.

Answers

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:

Subscribe

Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there are mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

Transum.org is a proud supporter of the kidSAFE Seal Program

© Transum Mathematics 1997-2024
Scan the QR code below to visit the online version of this activity.

This is a QR Code

https://www.Transum.org/go/?Num=421

Description of Levels

Close

Close

Pairs - The classic pairs game with simple congruent shapes.

Level 1 - Determining whether two triangles are congruent and finding the reason

Level 2 - Further questions on recognising congruency ordered randomly

Level 3 - Use your knowledge of congruent triangles to find lengths and angles

Similar Shapes - Similarity is a related concept.

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

More Geometry including lesson Starters, visual aids, investigations and self-marking exercises.

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.

Log in Sign up

Curriculum Reference

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

Video

Quick Reference

The following conditions guarantee congruence:

SSS - Given the lengths of all three sides.

SAS - Given two sides and the included angle.

ASA or AAS - Given two angles and any side.


The following is a set of conditions that does not guarantee congruence:

ASS - Given two sides and an angle that is not included between them. However congruence could be confirmed if the angle is a right angle (RHS - right-angle, hypotenuse, side) or an obtuse angle or if the side not adjacent to the angle is longer than the side that is adjacent.


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.

Log in Sign up

Close

Close