Show that a parallelogram is composed of an isosceles trapezium and an isosceles triangle

Draw a parallelogram composed of a trapezium and a traingle.Label:obtuse trapezium anlges as aacute trapezium angles as bbase triangular angles as ctop triangular angle as d
By definition of a parallelogram, a = b + dBy definition of an isosceles triangle, d + 2c = 180By definition of an isosceles trapezium, 2a + 2b = 360By defition of a straight line, a + c = 180
b = a - db = a - (180 - 2c)b = (180 - c) - 180 + 2cb = cOnly possible if b and c are alternate angles within the parallelogram.b =
b = c

ED
Answered by Emily D. Maths tutor

3985 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Can two shelves of 0.72 meters long each store 50 30mm wide textbooks?


R and B are directly proportional variables. When R = 9, B = 3. What does R equal when B = 14?


Solve algebraically: 6a+3b=24, 3a-b=7


A school has a number of students. One is chosen at random; the probability that the student is female is 2/5. Knowing that there are 174 male students, work out the total number of students in the school.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning