DashboardNewsSettingsHelp
Get Premium
Dashboard
Dashboard Sign out
McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
4. Rectangles
Continue to next subchapter
search

Exercise 5 Page 508

The diagonals of a rectangle are congruent.

11

Practice makes perfect

Let's analyze the given quadrilateral to find the length EG. Keep the information that we have been provided in mind: we have been told that the figure is a rectangle, FD = 3x + 7, and EG = x + 5.

Recall the following theorem.

Rectangle Diagonals Theorem

The diagonals of a rectangle are congruent.

Therefore, their lengths are equal. FD=EG ⇔ 3x-7=x+5 We can use this equation to solve for x.

3x-7=x+5
â–¼
Solve for x
SubEqn

LHS-x=RHS-x

2x-7=5
AddEqn

LHS+7=RHS+7

2x=12
DivEqn

.LHS /2.=.RHS /2.

x=6

Now that we know the value of x, we can find the length of EG.

EG = x + 5
Substitute

x= 6

EG = 6 + 5
AddTerms

Add terms

EG = 11
Subchapter links expand_more
arrow_right Exercises p.508-511
1
Exercises 2 (Page 508)
Exercises 3 (Page 508)
Exercises 4 (Page 508)
Exercises 5 (Page 508)
Exercises 6 (Page 508)
Exercises 7 (Page 508)
Exercises 8 (Page 508)
Exercises 9 (Page 508)
Exercises 10 (Page 508)
Exercises 11 (Page 508)
Exercises 12 (Page 508)
Exercises 13 (Page 508)
Exercises 14 (Page 508)
Exercises 15 (Page 508)
Exercises 16 (Page 508)
Exercises 17 (Page 508)
Exercises 18 (Page 508)
Exercises 19 (Page 508)
Exercises 20 (Page 509)
Exercises 21 (Page 509)
Exercises 22 (Page 509)
Exercises 23 (Page 509)
Exercises 24 (Page 509)
Exercises 25 (Page 509)
Exercises 26 (Page 509)
Exercises 27 (Page 509)
Exercises 28 (Page 509)
Exercises 29 (Page 509)
Exercises 30 (Page 509)
Exercises 31 (Page 509)
Exercises 32 (Page 509)
Exercises 33 (Page 509) engineering
Exercises 34 (Page 509) engineering
Exercises 35 (Page 509)
Exercises 36 (Page 509)
Exercises 37 (Page 509)
Exercises 38 (Page 509)
Exercises 39 (Page 509)
Exercises 40 (Page 509)
Exercises 41 (Page 510)
Exercises 42 (Page 510)
Exercises 43 (Page 510)
Exercises 44 (Page 510)
Exercises 45 (Page 510)
Exercises 46 (Page 510)
Exercises 47 (Page 510)
Exercises 48 (Page 510)
Exercises 49 (Page 510)
Exercises 50 (Page 511)
Exercises 51 (Page 511)
Exercises 52 (Page 511)
Exercises 53 (Page 511)
Exercises 54 (Page 511)
Exercises 55 (Page 511)
Exercises 56 (Page 511)
Exercises 57 (Page 511)
Exercises 58 (Page 511)
Exercises 59 (Page 511)
Exercises 60 (Page 511)
Exercises 61 (Page 511)
Exercises 62 (Page 511)
Exercises 63 (Page 511)
Exercises 64 (Page 511)