Lesson 8 of 16
When shape is not enough
Show on a big screenHold up a small bangle and a big one. The shape is the same. Neither fits the other wrist.
Look at each pair. Choose its name.
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Corners give the shape, not the size
AAA (angle, angle, angle) is not a test for congruence. Three equal angles give the same shape. They do not tell the size.
Example: two triangles with corners 40°, 60° and 80°. The corners add to 180°: 40 + 60 + 80 = 180. One is small. One is large. They are not congruent.
Sides in one ratio: every side is multiplied by the same number.
| What matches | What you can say |
|---|---|
| Every side and every corner | Congruent |
| Every corner, sides in one ratio | Same shape, new size |
| Neither | Not even the same shape |
Try the lab to finish this lesson.