Geometry Concepts in Parallelograms

This video tutorial from YourTeacher.com demonstrates how to find the area of a parallelogram. It begins with an introduction to the platform's offerings, followed by a problem statement involving a parallelogram. The tutorial explains how to find the height using a right triangle and the Pythagorean theorem. Finally, it calculates the area using the base and height.

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What shape is the quadrilateral ABCD described in the problem?

• Trapezoid

• Rectangle

• Square

• Parallelogram

What is the formula for the area of a parallelogram?

• Base x Height

• Length x Width

• Diameter x Radius

• Side x Side

What is the base length of the parallelogram in the problem?

• 10

• 18

• 12

• 15

Which segment represents the height of the parallelogram?

• Segment CD

• Segment BD

• Segment BC

• Segment AB

What is the length of one side of the right triangle BDC?

• 12

• 15

• 18

• 10

What is the length of the hypotenuse of the right triangle BDC?

• 15

• 18

• 16

• 17

Which theorem is used to find the height of the parallelogram?

• Pythagorean Theorem

• Binomial Theorem

• Fermat's Last Theorem

• Thales' Theorem

What is the square of 15 as used in the Pythagorean theorem?

• 225

• 235

• 215

• 200

What is the square of 17 as used in the Pythagorean theorem?

• 269

• 299

• 279

• 289