Question

What is the quadrilateral that is formed by joining the points (1, 1); (2, 4); (8, 4) and (10, 1)?

• A. A triangle
• B. A square
• C. A rectangle
• D. A trapezium

Answer 1

The correct option is D A trapezium

Given : quadrilateral vertices are (1,1), (2,4), (8,4) and (10,1).

To find : Draw quadrilateral and find type of Quadrilateral

Solution:

quadrilateral whose vertices are (1,1), (2,4), (8,4) and (10,1).

Given Quadrilateral is a trapezium

Slope of line between (2,4) (8,4) & Length = 6

= (4 - 4)/(8 - 2)

= 0/6

= 0

Slope of line between (10,1). & (1,1), & Length = 9

= ( 1 - 1)/(10 - 1)

= 0/9

= 0

Length of line line joining $\left\{\right(2,4),(8,4\left)\right\}=(8-2)=6$
Length of line line joining $\left\{\right(1,1),(10,1\left)\right\}=(10-1)=9$

Hence Two unequal Sides are parallel ,

Quadrilateral is a trapezium