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Geometry
3.11 Trapezoid

Trapezoid/Trapezium


\ A + D = 180 and B + C = 180.

Example:

Solution:
Since AB is parallel to CD, we have
A + D = 180 and B + C = 180.
So D = 180 - A = 180 - 50
D = 130
B + C = 180
C = 180 - B
C = 180 - 70
C = 110


Directions:
  • Draw a trapezoid and explain the different properties of a trapezium, in your own words, with examples.

Q 1: In a trapezoid ABCD, AB is parallel to CD. If angle A = 50 degrees and angle B = 120 degrees, find angle C and angle D.
100 degrees and 70 degrees Respectively
90 degrees and 60 degrees Respectively
60 degrees and 130 degrees Respectively

Q 2: In a trapezoid ABCD, AB is parallel to CD. If angle A = 120 degrees and angle B = 90 degrees, find angle C and angle D.
90 degrees and 60 degrees Respectively
100 degrees and 70 degrees Respectively
60 degrees and 130 degrees Respectively

Q 3: In a trapezoid ABCD, AB is parallel to CD. If angle D = 110 degrees and angle C = 90 degrees, find angle A and angle B.
70 degrees and 90 degrees Respectively
90 degrees and 105 degrees Respectively
100 degrees and 110 degrees Respectively

Q 4: In a trapezoid ABCD, AB is parallel to CD. If angle D = 90 degrees and angle C = 75 degrees, find angle A and angle B.
70 degrees and 90 degrees Respectively
90 degrees and 105 degrees Respectively
100 degrees and 110 degrees Respectively

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Question 6: This question is available to subscribers only!


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