8th Class
Mathematics
Understanding Quadrilaterals
Question Bank
Understanding Quadrilaterals
question_answer
If ABCD is an isosceles trapezium, what is the measure of \[\angle C\]?
A) \[\angle B\]
B) \[\angle A\]
C) \[\angle D\]
D) \[{{90}^{o}}\]
Correct Answer:
C
Solution :
From definition, we know that in an isosceles trapezium the non-parallel sides are equal or \[AD=BC\] in the figure. Drop perpendiculars AE and BF to CD. Triangles AED and BFC are congruent by R.H.S congruency. Hence, \[\angle D=\angle C\].