Splash Screen. Vocabulary distance midpoint segment bisector.

• distance

• midpoint

• segment bisector

Find Distance on a Number Line

Use the number line to find QR.

The coordinates of Q and R are –6 and –3.

QR = | –6 – (–3) | Distance Formula

= | –3 | or 3 Simplify.

Answer: 3

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 2

B. 8

C. –2

D. –8

Use the number line to find AX.

Find Distance on a Coordinate Plane

Find the distance between E(–4, 1) and F(3, –1).

(x1, y1) = (–4, 1) and (x2, y2) = (3, –1)

Find Distance on a Coordinate Plane

Check Graph the ordered pairs and check by using the Pythagorean Theorem.

A. 4

B.

C.

D.

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

Find the distance between A(–3, 4) and M(1, 2).

• Finding the Midpoint

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 330 ft

B. 660 ft

C. 990 ft

D. 1320 ft

DRAG RACING The length of a drag racing strip is

mile long. How many feet from the finish line is

the midpoint of the racing strip?

Find Midpoint in Coordinate Plane

Answer: (–3, 3)

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. (–10, –6)

B. (–5, –3)

C. (6, 12)

D. (–6, –12)

Find the Coordinates of an Endpoint

Write two equations to find the coordinates of D.

Let D be (x1, y1) and F be (x2, y2) in the Midpoint Formula.

(x2, y2) =

Find the Coordinates of an Endpoint

Answer: The coordinates of D are (–7, 11).

Midpoint Formula

Midpoint Formula

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. (3.5, 1)

B. (–10, 13)

C. (15, –1)

D. (17, –11)

Find the coordinates of R if N (8, –3) is the midpointof RS and S has coordinates (–1, 5).