Current location - Training Enrollment Network - Mathematics courses - The eighth grade math problem "Prove that a quadrilateral with four equal angles is a rectangle."
The eighth grade math problem "Prove that a quadrilateral with four equal angles is a rectangle."
This question. . . . .

Proof: make a quadrilateral ABCD

∵∠ A+∠ B+∠ C+∠ D = 360 (the sum of the internal angles of the quadrilateral is equal to 360).

Or ≈A =∠B =∠C =∠d?

∴ 4 ∠ A = 360 (equivalent replacement)

∴∠A=90

Similarly, ∠B=∠C=∠D=90 degrees.

∴ Quadrilateral ABCD is a rectangle (the nature of a rectangle)

Hope to adopt! I wish you progress in your study! !