Properties and Measures of Polygons

The video provides a comprehensive review of a geometry unit, covering polygons, parallelograms, special parallelograms like rhombuses and rectangles, and other shapes such as trapezoids and kites. It explains key theorems and properties, and demonstrates problem-solving techniques for various geometry problems.

What is the sum of the interior angles of a polygon with 6 sides?

• 720 degrees

• 540 degrees

• 1080 degrees

• 900 degrees

How many degrees are in one exterior angle of a regular hexagon?

• 120 degrees

• 90 degrees

• 72 degrees

• 60 degrees

Which of the following is NOT a property of a parallelogram?

• Consecutive angles are supplementary

• All angles are right angles

• Diagonals bisect each other

• Opposite sides are congruent

What is a unique property of the diagonals in a rhombus?

• They bisect each other

• They are congruent

• They are parallel

• They are perpendicular

In a kite, what is true about the diagonals?

• They are parallel

• They are perpendicular

• They bisect each other

• They are congruent

How do you find the measure of one interior angle of a regular polygon with n sides?

• (n-2) * 180 / n

• 180 / n

• 360 / n

• (n-1) * 180 / n

If a quadrilateral is a parallelogram, what can be said about its opposite angles?

• They are right angles

• They are complementary

• They are supplementary

• They are congruent

What is the midsegment of a trapezoid?

• The line connecting the midpoints of the legs

• The line parallel to the bases and equal to their average

• The line connecting the midpoints of the bases

• The line perpendicular to the bases

In coordinate geometry, how can you determine if a quadrilateral is a parallelogram?

• By checking if all sides are equal

• By checking if all angles are right angles

• By checking if diagonals are equal

• By checking if opposite sides are parallel