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Determine whether figure A is congruent to figure B explain your  thinking

To determine whether figure A is congruent to figure B, we need to compare their shapes and sizes. Congruent figures are identical in shape and size, meaning they can be mapped onto each other through a series of rigid transformations such as translation (sliding), rotation, or reflection, without resizing.

### For Question 7:
1. **Visual comparison**: The shapes (A and B) are quadrilaterals with four sides.
2. **Size check**: Using the grid as a reference, figure A and figure B seem to have similar areas and side lengths. The grid allows us to visually count units, and both figures cover the same amount of squares.
3. **Shape check**: The orientation of the shapes is different, but they appear identical in terms of angles and side lengths.

Since the shapes are the same size and can be rotated or translated to match each other, **figure A is congruent to figure B** for question 7.

### For Question 8:
1. **Visual comparison**: Figure A and figure B are both triangles.
2. **Size check**: By counting the grid squares, figure A is larger than figure B, indicating they do not have the same size.
3. **Shape check**: Though both figures are triangles, their dimensions differ, meaning they cannot be made to overlap by any rigid transformation.

For question 8, **figure A is not congruent to figure B** because they differ in size.

Would you like further details or clarifications? Here are five related questions for you to consider:
1. How can you verify congruence through transformations?
2. What is the importance of side lengths and angles in determining congruence?
3. Can you explain how the grid helps in verifying congruence between figures?
4. What types of transformations preserve congruence?
5. How does a change in size affect congruence?

**Tip:** Always check both the shape and size when determining congruence!

Determine whether figure A is congruent to figure B explain your thinking

Learn how to determine congruence between geometric figures A and B. This lesson covers congruence through rigid transformations such as translation, rotation, and reflection, using grid units for accurate comparison. Suitable for students in Grades 6-8.

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