in the coordinate plane , what are the two axes called
the x-axis and the y-axis
what is a line segment
a part of a line with two end points
what is the distance between 0 and 5 in a number line
5 units
where would you pace the number three on a number line
to the right of 0 three units away
what is the midpoint segment
the point that divides the segment into two equal parts
what are the coordinates of the origin on a coordinate plane
(0,0)
how do you measure a length of a line segment?
use a ruler to calculate the distance between the two end points
how do you calculate the distance between two points on a number line?
subtract the smaller number from the larger number ( or use the absolute value of their difference)
if you have the numbers -2,0 and 5 which is located farthest to the right on a number line
5
in geometry what is the perpendicular bisector of a line segment
a line that divides a line segment into two equal parts at a 90 degree angle
if a point is located at 4,-3 in which quadrant does it lie
6
if a line segment has two endpoints at 2 and 8 on number line, what is its length?
6 units (|3-(-5)|=|3+5|=8
what is the diffrence between -3 and 7 on a number line?
on a number line where would you place the number -4
to the left of, four units away
if the coordinates of the endpoints of a line segment are (2,3) and (6,7) what are the coordinates of th midpoint
(4,5)
what is the name of the vertical line where x=0 is on the coordinate plane
the y- axis
a line segment has endpoints at -5,1 and 3,1. what is the length of the segment?
8 units (|3-(5)|=|3+5|=8)
two points on a number line are at -6 and 4. What is the distance between them?
10 units (|4-(-6)=|4+6|=10)
what is the difference between-3 and 4 on a number line
7 units (from -3 to 0 is 3 units and from 0 to 4 is 4 units, so 3+4=7)
if a point lies on the perpendicular bisector of a line sement, what is true about its distance from the two endpoints of the segment
the point is equidistant from the two end points
7,4
the endpoints of a line segment are 1,2 and 4,6. using the distance formula what is the length of the segment
5 units
if point A ais at -8 and point B is at 3 and point C is ar th midpoint of A and B, what is the total distance from A to C and C to B?
the total distance is 11 units. From A to C is 5.5 units (half) and C to B is also 5.5 units. total distance = 5.5+5.5=11
if point A is located at -5 and point B is located at 2 on a number line, what us the midpoint between A and B?
the midpoint is calcuated by averaging the coordinates -5+2/2=-1.5
therefore the midpoint is -1.5
first, find the midpoint (4,5). the slope of AB is (8,-2) (7,1)=1. The slope of the perpendicular bisector is the negative reciprocal, so -1, Using point-slope form, the equation of the perpendicular bisector is y-5=-1(x-4) which simplifies to y=x+9