FINDING MIDPOINTS Find the coordinates of the midpoint of the segment with the given endpoints. 17. C(3, 5) and D(7, 5) 18. Е(О, 4) and F(4, 3) 19. G(-4, 4) and H(6, 4) 20. J(-7, -5) and K(-3, 7) 21. Р(-8, -7) аnd Q(11, 5) 22. S(-3, 3) and T(-8, 6)
FINDING MIDPOINTS Find the coordinates of the midpoint of the segment with the given endpoints. 17. C(3, 5) and D(7, 5) 18. Е(О, 4) and F(4, 3) 19. G(-4, 4) and H(6, 4) 20. J(-7, -5) and K(-3, 7) 21. Р(-8, -7) аnd Q(11, 5) 22. S(-3, 3) and T(-8, 6)
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
Can you help me with #17-34?
Transcribed Image Text:HOMEWORK
1.3 EXERCISES
= See WORKED-OUT SOLUTIONS
Exs. 15, 35, and 49
* = STANDARDIZED TEST PRACTICE
Exs. 2, 23, 34, 41, 42, and 53
KEY
SKILL PRACTICE
1. VOCABULARY Copy and complete: To find the length of AB, with
endpoints A(-7, 5) and B(4, -6), you can use the_?.
2. * WRITING Explain what it means to bisect a segment. Why is it
impossible to bisect a line?
EXAMPLE 1
FINDING LENGTHS Line £ bisects the segment. Find the indicated length.
for Exs. 3-10
3. Find RTif RS = 5 in.
4. Find UWif Vw = in.
8.
5. Find EG if EF = 13 cm.
R
6. Find BC if AC = 19 cm.
7. Find QR if PR = 9, in.
8. Find LM if LN = 137 mm.
M
9. SEGMENT BISECTOR Line RS bisects PQ at point R. Find RQ if PQ = 4 inches.
10. SEGMENT BISECTOR Point T bisects UV. Find UVif UT = 2, inches.
ALGEBRA In each diagram, M is the midpoint of the segment. Find the
indicated length.
EXAMPLE 2
for Exs. 11-16
11. Find AM.
12. Find EM.
13. Find JM.
x+5
2x
7x
8х — 6
бх + 7
4x +5
A
M
G
M
14. Find PR.
15.) Find SU.
16. Find XZ.
бх — 11
10x - 51
x+ 15
4х — 45
2x + 35
5х — 22
P
M
M
M
FINDING MIDPOINTS Find the coordinates of the midpoint of the segment
with the given endpoints.
EXAMPLE 3
for Exs. 17-30
17. C(3, 5) and D(7, 5)
18. E(0, 4) and F(4, 3)
19. G(-4, 4) and Н(6, 4)
20. J(-7, –5) and K(-3, 7)
21. Р( 8, -7) and Q01,5)
22. S(-3, 3) and T(-8, 6)
23. * WRITING Develop a formula for finding the midpoint of a segment
with endpoints A(0, 0) and B(m, n). Explain your thinking.
1.3 Use Midpoint and Distance Formulas
19
.......
...
Transcribed Image Text:24. ERROR ANALYSIS Describe the error made in
finding the coordinates of the midpoint of a
segment with endpoints S(8, 3) and T(2, –1).
8 - 2 3- (-1)
= (3, 2)
FINDING ENDPOINTS Use the given endpoint Rand midpoint M of RS to find
the coordinates of the other endpoint S.
27. R(6, -2), M(5, 3)
30. R(-4, -6), M(3, -4)
25. R(3, 0), M(0, 5)
26. R(5, 1), M(1, 4)
28. R(-7, 11), M(2, 1)
29. R(4, -6), M(-7, 8)
DISTANCE FORMULA Find the length of the segment. Round to the nearest
tenth of a unit.
EXAMPLE 4
for Exs. 31-34
31.
y
32.
33.
a-3, 5)
S-1, 2)
05, 4)
R2, 3)
P(1, 2)
T(3, -2)
34. * MULTIPLE CHOICE The endpoints of MN are M(-3, -9) and N(4, 8).
What is the approximate length of MN?
A 1.4 units
® 7.2 units
© 13 units
18.4 units
NUMBER LINE Find the length of the segment. Then find the coordinate of
the midpoint of the segment.
37. ++
-20 – 10 0 10 20 30
35.
36.
-8 -6
4
4 -2 0 24
39. +
-6
38.
40.
-30
-20
-10
-3
3
-8 -6
-4
-2
41. * MULTIPLE CHOICE The endpoints of LF are L(-2, 2) and F(3, 1).
The endpoints of JR are J(1, -1) and R(2, –3). What is the approximate
difference in the lengths of the two segments?
@ 2.24
® 2.86
© 5.10
D 7.96
42. * SHORT RESPONSE One endpoint of PQ is P(-2, 4). The midpoint of PQ
is M(1, 0). Explain how to find PQ.
COMPARING LENGTHS The endpoints of two segments are given. Find each
segment length. Tell whether the segments are congruent.
43. АВ: А(0, 2), В-3, 8)
CD: C(-2, 2), D(0, –4)
44. EF. E(1, 4), F(5, 1)
GH: G(-3, 1), H(1, 6)
45. JK: J(-4, 0), K(4, 8)
LM: L(-4, 2), M(3, -7)
46. O ALGEBRA Points S, T, and Plie on a number line. Their coordinates
are 0, 1, and x, respectively. Given SP = PT, what is the value of x?
47. CHALLENGE Mis the midpoint of JK, JM = %, and JK = 3* – 6. Find MK.
* = STANDARDIZED
= See WORKED-OUT SOLUTIONS
in Student Resources
20
TEST PRACTICE
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