Write a mathematical sentence to compare each pair of measures.
32. GB and GF
34. AC and AD
Coordinates:
G(10, -1)
B(5, -1)
F(3, 5)
A(2, 3)
C(-3, -3)
D(-2, 4)
I don't understand. Please help!!
GB has length √25
GF has length √85
I expect you can compare those
Do others in like wise.
To compare each pair of measures, we need to find the distances between the points.
For the first pair, GB and GF, we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by the formula:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's plug in the coordinates:
GB distance = √((5 - 10)^2 + (-1 - (-1))^2)
= √((-5)^2 + (0)^2)
= √(25 + 0)
= √25
= 5
GF distance = √((3 - 10)^2 + (5 - (-1))^2)
= √((-7)^2 + (6)^2)
= √(49 + 36)
= √85
So we can compare the distances:
GB = 5
GF = √85
Now let's move on to the second pair, AC and AD.
AC distance = √((2 - (-3))^2 + (3 - (-3))^2)
= √((2 + 3)^2 + (3 + 3)^2)
= √(5^2 + 6^2)
= √(25 + 36)
= √61
AD distance = √((-2 - (-3))^2 + (4 - (-3))^2)
= √((-2 + 3)^2 + (4 + 3)^2)
= √(1^2 + 7^2)
= √(1 + 49)
= √50
So we can compare the distances:
AC = √61
AD = √50
Now we have the distances for each pair. You can compare them and draw conclusions based on their values.