Trapezoid Properties and Calculations

This video tutorial covers the properties and problem-solving techniques related to isosceles trapezoids. It explains the congruence of legs and diagonals, parallel bases, and angle relationships. The video also demonstrates how to solve algebraic problems involving diagonal and leg lengths, calculate the area of trapezoids, and apply the midsegment theorem. Advanced problem-solving examples are provided to reinforce the concepts.

What is true about the legs of an isosceles trapezoid?

• They are unequal.

• They are parallel.

• They are congruent.

• They are perpendicular.

What is the relationship between the upper and lower base angles in an isosceles trapezoid?

• They are equal.

• They are supplementary.

• They are complementary.

• They are perpendicular.

If the diagonals of an isosceles trapezoid are given by AC = 5x + 4 and BD = 8x - 8, what is the value of x?

• 6

• 5

• 7

• 4

In an isosceles trapezoid, if angle A is 75 degrees, what is angle D?

• 75 degrees

• 105 degrees

• 90 degrees

• 180 degrees

What is the sum of the measures of all angles in a quadrilateral?

• 360 degrees

• 450 degrees

• 270 degrees

• 180 degrees

In an isosceles trapezoid, if one diagonal is 18 and the segments are x^2 - 13 and 2x - 4, what is the length of the segment x^2 - 13 when x = 5?

• 10

• 13

• 12

• 11

If the mid-segment of an isosceles trapezoid is the average of the bases, what is the mid-segment length if the bases are 16 and 40?

• 28

• 30

• 32

• 34

How do you calculate the area of a trapezoid?

• Half the sum of bases times height

• Sum of bases times height

• Base plus height

• Base times height

What is the length of the hypotenuse in a right triangle with legs of 3 and 4?

• 5

• 6

• 7

• 8

If the area of a trapezoid is 52 square units, and the bases are 10 and 16, what is the height?

• 6

• 5

• 4

• 3