Lesson 11 · Construction of a Triangle and a Quadrilateral Equal in Area

Construction of Parallelograms Equal in Area Presentation

MathematicsSubject
8 minEstimated read
Slide 1 of 4
Mathematics, Class 10 · Construction

Parallelograms Equal in Area

Same base · Same parallels · Same area

By the end of this lesson you can

🟦

Shade figures of equal area on a grid

📐

Explain why same base and same parallels give equal area

🧭

Construct an equal-area parallelogram with a given angle

📏

Construct one with a given side

Upright or leaning, same area

⬛Rectangle on AB
Base 2 squares
Height 2 squares
Area 4 squares
VS
▰Leaning parallelogram on AB
Base 2 squares
Height 2 squares
Area 4 squares

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Presenter notes: Today we build a new parallelogram that has exactly the same area as a given one, even though it has a different angle or a different side.