Similar Shapes Worksheets

We have prepared an excellent collection of Similar Shape Worksheets with answers ready for young learners to understand this complex concept of congruence and similarity. Understanding this geometric concept will enable your students to learn about similar shapes, corresponding angles, congruent triangles, and other related concepts. This will also help them to identify and solve complicated geometrical equations related to similar triangles, the same ratio of corresponding sides, and identical shapes of any geometric structures. Cazoom Maths has provided you with all the relevant resources and independent practice worksheets with answers. Cazoom Maths caters to all abilities therefore there are congruence and similarity worksheets for all levels.


Check out our downloadable Congruence and Similarity Worksheets which will improve your student’s knowledge of various geometrical calculations related to similar shapes. These worksheets are created in easy-to-download PDF format, include answers, and are designed to help young learners better understand and calculate different complex concepts of geometry. These worksheets are excellent resources that will make the whole learning fun and interesting!

Understanding The Concept Of Congruence and Similarity

Geometry principles rely on congruence and similarity. Congruence is when figures or shapes are the same size and shape. An example of this is if you have two triangles with identical angles and side lengths, they are congruent. Similarity differs because it involves shapes that have the same shape but different sizes. In similar shapes, corresponding angles are equal, but their side lengths will be in proportion. Imagine if you had a picture and would zoom in and out. The things you see inside it change size but not shape, that’s similarity. These concepts are very important for maths and help us understand and compare shapes. Especially in fields like architecture, engineering, map scaling, and many more related fields.

What Are the Properties Of Congruence And Similarity?

We come across many shapes in life. They’re the building blocks of the world and we’ve even managed to give them rules. A few unique properties help us understand and relate geometric shapes.

Congruence Rules:

  • When two objects are congruent, that means they’re exactly the same in shape and size. For example, if two triangles have the same angles and side lengths, they are congruent shapes.
  • Even when you match up two different congruent shapes, their angles and measurements will be equal. Every single one of them.

Similarity Rules:

  • Shapes that look the same but aren’t are similar. These ones can change in size, but no matter what their corners are always equal. If there’s a box that’s 10 times smaller than another, it’ll still have edges with the same proportions.
  • Scaling is one tricky rule for similar objects. As long as a shape is resized evenly it retains its figure but loses its size.

Use of Congruence and Similarity in Real Life

Imagine you have two paper cutouts of stars for your DIY project. Congruence would mean they are exactly the same in shape and size, just like having two stars that match perfectly. But Similarity, on the other hand, is like having one large star cutout and one smaller star cutout, that is these stars have the same shape, but not the same size. Therefore, congruence is when two or more shapes are identical, whereas, similarity is when two or more things have the same shape but not the same size. These two ideas are very useful in our day-to-day life-

  • These ideas help architects design buildings, cartographers make maps, and even artists create realistic drawings.
  • Engineers use this basic idea of similar and original shape to build strong structures.
  • Apart from these, in our everyday lives, understanding these concepts helps us when we resize or recreate things as per our needs.