News
Get Premium
Dashboard
Dashboard Sign out
Pearson Geometry Common Core, 2011
PG
Pearson Geometry Common Core, 2011 View details
8. Perimeter, Circumference, and Area
Continue to next subchapter
search

Exercise 66 Page 67

Practice makes perfect
a AB is the distance between the points A and B. To find this distance, we can use the Distance Formula.
d=sqrt((x_2-x_1)^2+(y_2-y_1)^2) Let's substitute the given coordinates, A(-1,1) and B(-4,-5), into this formula and simplify.
d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)
SubstitutePoints

Substitute ( -4,-5) & ( -1,1)

d = sqrt(( -4-( -1))^2 + ( -5- 1)^2)
AddNeg

a+(- b)=a-b

d=sqrt((-4+1)^2+(-5-1)^2)
AddSubTerms

Add and subtract terms

d=sqrt((-3)^2+(-6)^2)
CalcPow

Calculate power

d=sqrt(9+36)
AddTerms

Add terms

d=sqrt(45)
UseCalc

Use a calculator

d=6.7082...
RoundDec

Round to 1 decimal place(s)

d≈6.7
The distance between A and B is AB≈6.7.
b Now we want to find the midpoint of the line segment AB. We can use the Midpoint Formula.
M ( x_1+x_22, y_1+y_22) Let's substitute the coordinates into this formula.
M(x_1+x_2/2,y_1+y_2/2)
SubstitutePoints

Substitute ( -4,-5) & ( -1,1)

M(-1+( -4)/2,1+( -5)/2)
AddNeg

a+(- b)=a-b

M(-1-4/2,1-5/2)
SubTerms

Subtract terms

M(-5/2,-4/2)
Div

Divide by 2

M(-2.5,-2)
The midpoint of AB is the point (-2.5, 2).
Subchapter links expand_more
arrow_right Lesson Check p.64
1
2
3
4
5
6
arrow_right Practice and Problem-Solving Exercises p.64-67
Practice and Problem-Solving Exercises 7 (Page 64)
Practice and Problem-Solving Exercises 8 (Page 64)
9
Practice and Problem-Solving Exercises 10 (Page 64)
Practice and Problem-Solving Exercises 11 (Page 64)
Practice and Problem-Solving Exercises 12 (Page 64)
Practice and Problem-Solving Exercises 13 (Page 64)
Practice and Problem-Solving Exercises 14 (Page 64)
Practice and Problem-Solving Exercises 15 (Page 64)
Practice and Problem-Solving Exercises 16 (Page 64)
Practice and Problem-Solving Exercises 17 (Page 64)
18
19
20
21
22
Practice and Problem-Solving Exercises 23 (Page 65)
Practice and Problem-Solving Exercises 24 (Page 65)
Practice and Problem-Solving Exercises 25 (Page 65)
Practice and Problem-Solving Exercises 26 (Page 65)
Practice and Problem-Solving Exercises 27 (Page 65)
Practice and Problem-Solving Exercises 28 (Page 65)
Practice and Problem-Solving Exercises 29 (Page 65)
Practice and Problem-Solving Exercises 30 (Page 65)
31
32
33
34
35
36
37
Practice and Problem-Solving Exercises 38 (Page 65)
39
40
41
42
43
44
45
46
Practice and Problem-Solving Exercises 47 (Page 66)
48
49
50
Practice and Problem-Solving Exercises 51 (Page 66)
Practice and Problem-Solving Exercises 52 (Page 66)
53
Practice and Problem-Solving Exercises 54 (Page 66)
Practice and Problem-Solving Exercises 55 (Page 67)
56
57
58
59
arrow_right Standardized Test Prep p.67
60
Standardized Test Prep 61 (Page 67)
Standardized Test Prep 62 (Page 67)
Standardized Test Prep 63 (Page 67)
arrow_right Mixed Review p.67
Mixed Review 64 (Page 67)
Mixed Review 65 (Page 67)
Mixed Review 66 (Page 67)
67
68
69