Lesson 10 · The relation of triangles standing on the same base and lying between the same parallels

The relation of parallelograms standing on the same base and lying between the same parallel lines Presentation

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Mathematics · Class 10 · Lesson 10

Parallelograms on the Same Base and between the Same Parallels

Equal area · Theorem 1 · Example 1

By the end of this lesson you can

🔍

Tell congruent figures from figures of equal area

📏

Check for same base and same parallel lines

✍️

Prove Theorem 1 with reasons

🧮

Use the theorem to find areas and heights

Congruent or just equal in area?

🟰Congruent
Match exactly when overlapped
Same shape and size
Area always equal
VS
📐Equal area only
Cover the same surface
Shapes can differ
2 × 6 and 4 × 3 rectangles

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Presenter notes: Today we find out why two parallelograms that look quite different can cover exactly the same amount of surface.