 Home
 Products
 Integration
 Tutorial
 Barcode FAQ
 Purchase
 Company
ssrs barcode font Parallel Lines, Distances, and Angle Sums in ObjectiveC
Parallel Lines, Distances, and Angle Sums QR Code JIS X 0510 Recognizer In ObjectiveC Using Barcode Control SDK for iPhone Control to generate, create, read, scan barcode image in iPhone applications. Making QR Code ISO/IEC18004 In ObjectiveC Using Barcode printer for iPhone Control to generate, create QR Code ISO/IEC18004 image in iPhone applications. 4.1 Parallel Lines
QRCode Recognizer In ObjectiveC Using Barcode recognizer for iPhone Control to read, scan read, scan image in iPhone applications. Bar Code Drawer In ObjectiveC Using Barcode drawer for iPhone Control to generate, create barcode image in iPhone applications. Parallel lines are straight lines which lie in the same plane and do not intersect however far they are ex4 4 4 4 tended. The symbol for parallel is i; thus, AB iCD is read line AB is parallel to line CD. In diagrams, arrows are used to indicate that lines are parallel (see Fig. 41). QR Code Drawer In Visual C#.NET Using Barcode encoder for .NET framework Control to generate, create QR Code 2d barcode image in VS .NET applications. Making QR Code In .NET Using Barcode encoder for ASP.NET Control to generate, create QR Code JIS X 0510 image in ASP.NET applications. Fig. 41 Print QR Code 2d Barcode In VS .NET Using Barcode encoder for Visual Studio .NET Control to generate, create QR Code ISO/IEC18004 image in .NET applications. QR Encoder In Visual Basic .NET Using Barcode encoder for .NET Control to generate, create QRCode image in .NET applications. Fig. 42 Print EAN13 Supplement 5 In ObjectiveC Using Barcode encoder for iPhone Control to generate, create GS1  13 image in iPhone applications. Bar Code Creation In ObjectiveC Using Barcode creation for iPhone Control to generate, create barcode image in iPhone applications. A transversal of two or more lines is a line that cuts across these lines. Thus, EF is a transversal of AB and 4 CD, in Fig. 42. The interior angles formed by two lines cut by a transversal are the angles between the two lines, while 4 4 4 the exterior angles are those outside the lines. Thus, of the eight angles formed by AB and CD cut by EF in Fig. 42, the interior angles are j 1, j 2, j 3, and j 4; the exterior angles are j 5, j 6, j 7, and j 8. Print Barcode In ObjectiveC Using Barcode generator for iPhone Control to generate, create bar code image in iPhone applications. ANSI/AIM Code 39 Creator In ObjectiveC Using Barcode printer for iPhone Control to generate, create Code 3 of 9 image in iPhone applications. 4.1A Pairs of Angles Formed by Two Lines Cut by a Transversal
Creating Universal Product Code Version E In ObjectiveC Using Barcode encoder for iPhone Control to generate, create UPCE image in iPhone applications. Bar Code Creator In .NET Using Barcode generator for Reporting Service Control to generate, create barcode image in Reporting Service applications. Corresponding angles of two lines cut by a transversal are angles on the same side of the transversal and on 4 4 the same side of the lines. Thus, j 1 and j 2 in Fig. 43 are corresponding angles of AB and CD cut by trans4 versal EF. Note that in this case the two angles are both to the right of the transversal and both below the lines. Bar Code Maker In None Using Barcode generator for Microsoft Excel Control to generate, create bar code image in Office Excel applications. EAN 128 Drawer In C#.NET Using Barcode encoder for .NET framework Control to generate, create GTIN  128 image in .NET framework applications. Fig. 43 Creating GS1 DataBar Limited In VS .NET Using Barcode generator for Visual Studio .NET Control to generate, create GS1 RSS image in .NET framework applications. Barcode Generator In Java Using Barcode generator for Java Control to generate, create barcode image in Java applications. CHAPTER 4 Parallel Lines, Distances, and Angle Sums
Encoding Code 3/9 In VB.NET Using Barcode printer for Visual Studio .NET Control to generate, create Code 39 image in .NET applications. Printing Data Matrix ECC200 In Java Using Barcode encoder for BIRT Control to generate, create Data Matrix ECC200 image in BIRT reports applications. When two parallel lines are cut by a transversal, the sides of two corresponding angles form a capital F in varying positions, as shown in Fig. 44. Fig. 44 Fig. 45 Alternate interior angles of two lines cut by a transversal are nonadjacent angles between the two lines 4 and on opposite sides of the transversal. Thus, j 1 and j 2 in Fig. 45 are alternate interior angles of AB and 4 4 CD cut by EF. When parallel lines are cut by a transversal, the sides of two alternate interior angles form a capital Z or N in varying positions, as shown in Fig. 46. Fig. 46 When parallel lines are cut by a transversal, interior angles on the same side of the transversal can be readily located by noting the capital U formed by their sides (Fig. 47). Fig. 47 4.1B Principles of Parallel Lines
PRINCIPLE
Through a given point not on a given line, one and only one line can be drawn parallel to a given line. (ParallelLine Postulate) CHAPTER 4 Parallel Lines, Distances, and Angle Sums
Thus, either l1 or l2 but not both may be parallel to l3 in Fig. 48. Fig. 48 Proving that Lines are Parallel
PRINCIPLE
Two lines are parallel if a pair of corresponding angles are congruent.
Thus, l1 i l2 if j a > j b in Fig. 49. Fig. 49 PRINCIPLE 3: Two lines are parallel if a pair of alternate interior angles are congruent.
Thus, l1 i l2 if j c > j d in Fig. 410. Fig. 410 PRINCIPLE
4: Two lines are parallel if a pair of interior angles on the same side of a transversal are supplementary. Thus, l1 i l2 if j e and j f are supplementary in Fig. 411. Fig. 411 PRINCIPLE
Lines are parallel if they are perpendicular to the same line. (Perpendiculars to the same line are parallel.) Thus, l1 i l2 if l1 and l2 are each perpendicular to l3 in Fig. 412. Fig. 412 PRINCIPLE
Lines are parallel if they are parallel to the same line. (Parallels to the same line are parallel.) CHAPTER 4 Parallel Lines, Distances, and Angle Sums
Thus, l1 i l2 if l1 and l2 are each parallel to l3 in Fig. 413. Fig. 413 Properties of Parallel Lines
PRINCIPLE
If two lines are parallel, each pair of corresponding angles are congruent. (Corresponding angles of parallel lines are congruent.) Thus, if l1 i l2, then j a > j b in Fig. 414. Fig. 414 PRINCIPLE 8: If two lines are parallel, each pair of alternate interior angles are congruent. (Alternate interior angles of parallel lines are congruent.) Thus, if l1 i l2, then j c > j d in Fig. 415. Fig. 415 PRINCIPLE 9: If two lines are parallel, each pair of interior angles on the same side of the transversal are supplementary. Thus, if l1 i l2, j e and j f are supplementary in Fig. 416. Fig. 416

