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

Answered by Emily D. Maths tutor

2861 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Let a = 4b + 5(c - b). Find the value of c when a = 8 and b = 7.


Solve these simultaneously to find values for a and b: 6a + b = 16 and 5a - 2b = 19


Expand (2x-3)(4x+4) using the FOIL method.


Solve the simultaneous equations x+y=3 and-x+5y=-15.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences