Victory for the ACT Student Text 15e

L ESSON 3 | C OORDINATE G EOMETRY • 227

LESSON 3 COORDINATE GEOMETRY THE COORDINATE SYSTEM

Point A ( x , y ) coordinate plane. The coordinates of point A are ( x , y ). Point B is located 12 units to the right of point A . What is the x -coordinate of point B ? A. x – 12 B. x + 12 C. y + 12 D. y – 12 E. Cannot be determined from the given information  –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ ™Šƒ– ‹• –Š‡ Ž‡‰–Š of PQ ? and point B lie in the standard

 –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ –Š‡ Ž‹‡ •‡‰‡– joining points (3,3) and (7, 3) forms one •‹†‡ ‘ˆ ƒ •“—ƒ”‡Ǥ Š‹…Š ‘ˆ –Š‡ ˆ‘ŽŽ‘™‹‰ CANNOT be the coordinates of another vertex of the square?

1.

3.

Throwback to Math Class A coordinate plane ‹• †‡•…”‹„‡† ™‹–Š reference to an x -axis (horizontal line) and a y -axis (vertical line), ™Š‹…Š ƒ”‡ perpendicular to each other. The intersection of the axes is called the origin (0,0). Coordinate pairs are used to locate points on the plane—the general form is ( , ) x y . The ϐ‹”•– ‡Ž‡‡– ‰‹˜‡• Ž‘…ƒ–‹‘ ™‹–Š reference to the x -axis; the second element gives Ž‘…ƒ–‹‘ ™‹–Š reference to the y -axis.

2.

A. ( , ) 3 1 B. ( , )3 7 C. ( , ) 7 3 D. ( , ) 7 1 E. ( , )7 7

F. 2 G. 3 H. 3 J. 4 K. 5