Learning Properties of Quadrilaterals

Tom, a 14-year-old student, participates in a quiz contest focused on quadrilaterals. He faces three questions in the first stage, each requiring him to prove geometric properties using congruent triangles. Despite his initial nervousness, Tom successfully proves theorems about congruent triangles, opposite sides, and diagonal bisection in a parallelogram. The video concludes with encouragement for further learning.

What is the main topic Tom revised before the quiz contest?

• Algebra

• Geometry

• Calculus

• Statistics

In the first question, what shape is the room Tom is in?

• Rectangle

• Trapezoid

• Parallelogram

• Square

Which criterion did Tom use to prove the triangles congruent in the first question?

• Angle-Angle-Side

• Side-Angle-Side

• Angle-Side-Angle

• Side-Side-Side

What did Tom prove about the opposite sides of a parallelogram in the second question?

• They are bisected

• They are equal

• They are perpendicular

• They are parallel

How did Tom prove the opposite sides of a parallelogram are equal?

• By using the Pythagorean theorem

• By using trigonometry

• By showing the triangles are congruent

• By measuring the sides

In the third question, what did Tom prove about the diagonals of a parallelogram?

• They are perpendicular

• They bisect each other

• They are parallel

• They are equal

Which triangles did Tom use to prove the diagonals bisect each other?

• Triangles ABE and CDE

• Triangles ABE and DCE

• Triangles ABC and ADC

• Triangles ABD and CBD