U01.D03 HW Dist. Form./Part. a segment/Midpoint
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside?
y
8
6
Seaside
4
2
–8 –6 –4 –2
–2
Landview
–4
2
4
6
8
x
Oceanfront
–6
–8
a. about 10 miles
b. about 50 miles
____
c. about 8 miles
d. about 40 miles
2. If T is the midpoint of
S
what are ST, TU, and SU?
T
9x
U
6 x + 30
a. ST = 10, TU = 90, and SU = 180
b. ST = 110, TU = 110, and SU = 220
c. ST = 18, TU = 18, and SU = 36
d. ST = 90, TU = 90, and SU = 180
Short Answer
3. Given the points A(-3, -4) and B(5, 0), find the coordinates of the point P on directed line segment AB that
partitions AB in the ratio 2:3
4. If Z is the midpoint of
R
what are x, RZ, and RT?
Z
4 x - 28
T
24
5. Find the perimeter of
with vertices A(1, 1), B(7, 1), and C(1, 9).
10
y
C
5
–10
A
–5
5
B
10 x
–5
–10
6. Given the points A(–1, 2) and B(7, 14), find the coordinates of the point P on directed line segment AB that
partitions AB in the ratio 1:3.
7. Greg walks home from school by walking 8 blocks north and then 6 blocks east. How much shorter would his
walk be if there were a direct path from the school to his house? Assume that the blocks are square.
8. The Frostburg-Truth bus travels from Frostburg Mall through the city’s center to Sojourner Truth Park. The
mall is 3 miles east and 5 miles north of the city’s center. Truth Park is 3 miles west and 4 miles south of the
city’s center. How far is it from Truth Park to the mall to the nearest tenth of a mile?
9. Given the points A(-2, 4) and B(7, -2), find the coordinates of the point P on directed line segment AB that
partitions AB in the ratio 1:2.
10. Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
U01.D03 HW Dist. Form./Part. a segment/Midpoint
Answer Section
MULTIPLE CHOICE
1. ANS:
TOP:
KEY:
2. ANS:
TOP:
D
DIF: L3
REF: 1-7 Midpoint and Distance in the Coordinate Plane
1-7 Problem 4 Finding Distance
coordinate plane | Distance Formula | word problem | problem solving
D
DIF: L4
REF: 1-3 Measuring Segments
1-3 Problem 4 Using the Midpoint KEY: segment | segment length | midpoint | multi-part question
SHORT ANSWER
3. ANS:
(3.8, 5.6)
4. ANS:
x = 13, RZ = 24, and RT = 48
DIF: L3
REF: 1-3 Measuring Segments
KEY: segment | segment length | midpoint
5. ANS:
24 units
TOP: 1-3 Problem 4 Using the Midpoint
DIF: L3
REF: 1-8 Perimeter, Circumference, and Area
TOP: 1-8 Problem 3 Finding Perimeter in the Coordinate Plane
KEY: perimeter | triangle | coordinate plane | Distance Formula
6. ANS:
(1, 5)
7. ANS:
4 blocks
DIF: L3
REF: 1-7 Midpoint and Distance in the Coordinate Plane
TOP: 1-7 Problem 4 Finding Distance
KEY: coordinate plane | Distance Formula | word problem | problem solving
8. ANS:
10.8 miles
DIF: L3
REF: 1-7 Midpoint and Distance in the Coordinate Plane
TOP: 1-7 Problem 4 Finding Distance
KEY: coordinate plane | Distance Formula | word problem | problem solving
9. ANS:
(1, -6)
10. ANS:
7.8
DIF: L3
REF: 1-7 Midpoint and Distance in the Coordinate Plane
TOP: 1-7 Problem 3 Finding Distance
KEY: Distance Formula | coordinate plane