Working with
Distance (Length)
Topic Index | Geometry Index | Regents Exam Prep Center

  Answer the following questions pertaining to
distance (length) and coordinate geometry.

1.

Find the length of the line segment whose endpoints
are (-3, 4) and (5,4). 

Choose:


8

 

 

2.

Find the distance between the points
(-4,-5) and (1,-2).

Choose:



 

 

3.

The point (5,4) lies on a circle.  What is the length of the radius of this circle if the center is located at (3,2)? 

Choose:



10

 

 

4.

Find JK.

Choose:


 

 

 

 

5.

The coordinates of rectangle ABCD are
A(0,2), B(4,8), C(7,6) and D(3,0).
Show that the diagonals are equal in length.

Answer

 

 

6.

Two birds are flying toward a birdhouse that is halfway between them.  The birds are at coordinates A(-4,4) and B(10,-2).

What are the coordinates of the birdhouse?

How far will each bird fly (to nearest tenth of a foot) to arrive at the birdhouse, if each grid on the graph represents 100 feet?

Answer


 

 
7.

Given that .

Q(4,5), U(11,1),
A(1,-4), D(0,3)

Find the slopes of and
Is
QUAD a trapezoid?

Find the midpoints of and and label them R and S.

Find the lengths of
What is the relationship between these three segments?

Answer