Find a Midpoint

Answer: The coordinates of the midpoint are (6, 5).

Find the coordinates of B, the midpoint of AC, for A(5, 2) and C(7, 8).

Midpoint Formula

(x1, y1) = (5, 2), (x2, y2) = (7, 8)

Simplify.

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

What are the coordinates of the midpoint of the segment with endpoints at (3, 6) and (–1, –8)?

A. (2, 7)

B.

C. (1, –1)

D. (–1, 1)

Find the Distance Between Two

Points

DISC GOLF Matt’s disc is 3 feet short and 2 feet to the right of the basket. On his first putt the disc lands 4 feet beyond the basket and 1 foot to the left. If the disc went in a straight line, how far did it go?

Model the situation. If the basket is at (0, 0), then the location of the disc is (2, –3). The location after the first putt is (–1, 4).

Find the Distance Between Two

Points

Answer: The disc traveled about 7.6 feet on his first putt.

Distance Formula

(x1, y1) = (2, –3) and (x2, y2) = (–1, 4)

Simplify.

A. A

B. B

C. C

D. D

A. 20.7 feet

B. 21.3 feet

C. 22.8 feet

D. 23.6 feet

DISC GOLF Hernando’s disc is 18 feet short and 4 feet to the left of the basket. On his first putt the disc lands 3 feet beyond the basket and 5 feet to the right. If the disc went in a straight line, how far did it go?

A coordinate grid is placed over a scale drawing of Nita’s patio. A grill is located at (2, –3). A flowerpot is located at (–6, –1). A picnic table is halfway between the grill and the flowerpot. In coordinate units, about how far is it from the grill to the picnic table?

A 0.2 C 4.1

B 2.24 D 5

Read the Test Item

The question asks to find the distance between the grill and the picnic table. Find the midpoint and then use the Distance Formula.

Solve the Test Item

Use the Distance Formula to find the distance between the grill (2, –3) and the picnic table (–2, –2).

Midpoint Formula

Simplify.

Use the Midpoint Formula to find the coordinates of the picnic table.

Answer: C

Subtract.

Distance Formula

Simplify.or about 4.1

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. 1.4

B. 2.8

C. 9.1

D. 5.8

A coordinate grid is placed over a floor plan of the school. The gymnasium is located at (4, 6). The science lab is located at (–2, –4). The office is located halfway between the gymnasium and the science lab. In coordinate units, about how far is the office from the science lab?