*This Math quiz is called 'Congruence' and it has been written by teachers to help you if you are studying the subject at high school. Playing educational quizzes is a user-friendly way to learn if you are in the 9th or 10th grade - aged 14 to 16.*

* It costs only $12.50 per month to play this quiz and over 3,500 others that help you with your school work. You can subscribe on the page at Join Us*

This high school Math quiz is all about Congruence – one of those words that has meaning in math and nowhere else!

Two shapes are congruent if they are identical in every way – all corresponding sides are the same length, and all corresponding angles are identical. If you have tried the *Similarity (F)* quiz you might recognize some… well, similarities. Recall that two shapes are similar if their corresponding angles are equal, and corresponding sides are in the same ratio.

[readmore]

Shapes can be congruent to each other even if one of them has been reflected or rotated, so don’t get caught out by that little trick!

Triangles are a common shape to come up in questions on congruency, and there are 4 different ways to show it. You need to be familiar with each of them.

ASA – Angle, Side, Angle. Show that 2 angles in each triangle are the same, and a corresponding side is the same length.

SAS – Side, included Angle, Side. Show that 2 pairs of corresponding sides are equal, and the angle formed between these 2 sides.

SSS – Side, Side, Side. Show that all 3 pairs of corresponding sides are equal.

RHS – Right-angle, Hypotenuse, Side. This is a special case for right triangles. Show that the hypotenuse and one other side of each triangle is the same.

Remember these three-letter abbreviations, as you can state them as your reasoning when it comes to the exam.

[/readmore]