Question

!50 POINTS! (3 SIMPLE GEOMETRY QUESTIONS)

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Answer 1

#1

Given :

• Segment PN = 195 ft
• Segment MN = 360 ft

To find :

• Measure of Segment MO

Solution :

we know that diagonals of a rectangle bisect each other,

hence,

• Segment LN = 2 x Segment PN = 195ft x 2 = 390ft

Since , diagonals of a rectangle are equal in length,

hence,

• Measure segment MO = Measure segment LN
• Measure segment MO = 390ft

Therefore,the measure of segment MO would be 390ft

#2

Trapezoid is not a parallelogram.

• Trapezoid has only one pair of parallel side and hence, it's not a parallelogram.
• A parallelogram is a shape of 4 sides with two pairs of parallel sides.

#3

Given :

• Length of the rectangle = 24ft
• Width of the rectangle = 10ft

To find :

• Length of the side of a rhombus inside of the rectangle made up by adjoining the midpoints.

Solution :

We know that,

• Midpoint divides the side into two equal parts

Therefore,

The length and width would be divided into half to make a triangle with the side of the rhombus.

To find the measure of the side ,

we will use Pythagoras theorem,

• H = √(p²+b²)
• H = √[(24/2)²+(10/2)²]
• H = √[(12)²+(5)²]
• H = √(144+25)
• H=√169
• H = 13

Therefore,the measure of the side of the rhombus would be equal to 13ft