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

3718 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

rearrange the equation y=7x-3 to make x the subject


What is the definition of the slope?


A line intercepts point A at (4,4) and point B (8,12). Find the gradient and the intercept of the line.


Find the length of the longest side in this triangle.


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