In the figure below, M is the midpoint of segment RS. What is the area of ∆MOP ?

A.) 4.5

B.) 4

C.) 3.5

D.) 3

E.) 2√2

B.) 4

C.) 3.5

D.) 3

E.) 2√2

If M is the midpoint of segment RS, then M has coordinates of (3,3).

Therefore,

- segment OP measures 3 units and

- segment MP measures 3 units

3 x 3

-------- = area of ∆MOP {substituted base and height into area formula}

2

= 9/2 {multiplied in numerator}

= 4.5 {divided}

Area of ∆MOP = 4.5

Therefore,

- segment OP measures 3 units and

- segment MP measures 3 units

**base x height**

----------------- = area of a triangle

2----------------- = area of a triangle

2

**∆MOP has a base of 3 and a height of 3**3 x 3

-------- = area of ∆MOP {substituted base and height into area formula}

2

= 9/2 {multiplied in numerator}

= 4.5 {divided}

Area of ∆MOP = 4.5

**A.) 4.5**

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