Question

David is trying to determine the lengths of the line segments that make up the polygon on the grid below.

On a coordinate plane, point A is at (5, 7), point B is at (10, negative 2), point C is at (8, negative 6), point D is at (negative 6, negative 6), and point E is at (negative 6, 8).

Which statements about lengths of the line segments are true? Check all that apply.
ED is 8 units.
DC is 14 units.
CB is 2 units.
EA can be found by counting..
AB can be found by counting.
DE can be found by counting.

Answer 1

If (x₁,y₁) ,(x₂,y₂) and (x₃,y₃) are the vertices of the triangle.

Then the area of the triangle is

Here x₁= -1,y₁=1 ,x₂=3,y₂=2, and x₃= -1,y₃=-1

Then the area of the triangle is

=4 square units

BC is base of the triangle.

Then the length of BC is  

                                         =5 units

Let the height of the triangle be x.

We know that

The area of triangle is  

                                    square units

According to the problem,

⇒x=1.6 units

Answer 2

Answer:

DC is 14 units

DE can be found by counting

Step-by-step explanation:

The rest are incorrect B and F are the only right ones