Congruent polygons have exactly the same side and angle measurements, making them identical in size and shape. Similar polygons have the same shape but may differ in size, with their corresponding sides being proportional by a scale factor. Examples demonstrate congruent triangles with the same measurements as well as similar quadrilaterals where one has sides twice the length of the other.

1. CONGRUENT AND SIMILAR
POLYGONS

2. Congruent
means the same

3. Congruent Polygons
- are polygons with exactly the
same side and angle
measurements
- they have exactly the same
size and shape
- identical
≅

6. Example 1:
ΔABC ≅ ΔXYZ

7. Example 2:
ABC ≅ XYZ

8. Similar Polygons
- are polygons with the same
shape that could be of the
same sizes, but they could
also be of different sizes.
- Similar polygons have their
corresponding sides
proportional to each other.

9. Example 3:
The quadrilateral below are similar. The ratio of their
corresponding sides is 1:2.

10. Try this!
Find the missing side of the following similar polygons.
n=2

11. Try this!
Find the missing side of the following similar polygons.
n=16

12. Try this!
Find the missing side of the following similar polygons.
n=3