Question

Construct the following quadrilaterals,

Quadrilateral TRUE

TR = 3.5 cm

RU = 3 cm

UE = 4 cm

∠R = 75°

∠U = 120°

Answer 1

1) A rough sketch of this quadrilateral can be drawn as follows.

2) Draw a line segment RU of 3 cm and an angle of 120º at point U. As vertex E is 4 cm away from vertex U, cut a line segment UE of 4 cm 
from this ray.

3) Next, draw an angle of 75º at point R. As vertex T is 3.5 cm away from vertex R, cut a line segment RT of 3.5 cm from this ray.

4) Join T to E.

TRUE is the required quadrilateral