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For the given problem:

**Part a) Congruent to triangle V**  
Two triangles are congruent if they are identical in shape and size, meaning they have the same angles and side lengths.

In the image, triangle **C** is congruent to triangle **V**. They appear to have the same dimensions and orientation on the grid, making them congruent.

**Part b) Similar but not congruent to triangle V**  
Two triangles are similar if they have the same shape (same angles) but can differ in size.

In the image, triangle **A** is similar to triangle **V** but not congruent. It has the same angles as triangle V but is larger in size. Similarly, triangle **B** is also similar but not congruent, as it is even larger than triangle V. Triangle **D**, however, is not similar to V due to differences in angles and proportions.

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Here are five related questions to explore this topic further:
1. How can you determine if two triangles are congruent just by looking at them?
2. What are the properties of similar triangles?
3. How can grid counting help in identifying congruent shapes?
4. Are all right-angled triangles always similar to each other? Why or why not?
5. Can two triangles be congruent if their corresponding sides are proportional but not equal?

**Tip**: When determining congruence or similarity, always check both angles and side lengths.

Find the shape or shapes that are a) congruent to triangle V. b) similar but not congruent to V.

Solve a geometry problem involving congruence and similarity of triangles. Identify the triangle congruent to V and the shapes similar but not congruent. Learn how to differentiate between congruent and similar triangles using grid counting. Suitable for Grades 7-9.

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