AMPLE 1 Exs. 3-10 FINDING LENGTHS Line i bisects the segment. Find the indicated length. 3. Find RTif RS = 5, in. 4. Find UWif VW =5 in. 5. Find EG if EF = 13 cm. to 6. Find BCif AC = 19 cm. 7. Find QR if PR = 9, in. 8. Find LM if LN = 137 mm. 9. SEGMENT BISECTOR Line RS bisects PQ at point R. Find RQ if PQ = 4 inches. 10. SEGMENT BISECTOR Point Tbisects UV. Find UVif UT = 2, inches. AMPLE 2 Exs. 11-16 ALGEBRA In each diagram, M is the midpoint of the segment. Find the indicated length. 13. Find JM. 6x +7 11. Find AM. 12. Find EM. x+5 4x +5 G M 14. Find PR. 15. Find SU. 16. Find XZ. бх — 11 10х - 51 x+ 15 4х — 45 2x + 35 5х - 22 M M FINDING MIDPOINTS Find the coordinates of the midpoint of the segment AMPLE 3 ExS. 17-30 with the given endpoints. 17. C(3, 5) and D(7, 5) 20. J(-7, -5) and K(-3, 7) 18. E(0, 4) and F(4, 3) 19. G(-4, 4) and H(6, 4) 21. P(-8, -7) and Q(11, 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.
AMPLE 1 Exs. 3-10 FINDING LENGTHS Line i bisects the segment. Find the indicated length. 3. Find RTif RS = 5, in. 4. Find UWif VW =5 in. 5. Find EG if EF = 13 cm. to 6. Find BCif AC = 19 cm. 7. Find QR if PR = 9, in. 8. Find LM if LN = 137 mm. 9. SEGMENT BISECTOR Line RS bisects PQ at point R. Find RQ if PQ = 4 inches. 10. SEGMENT BISECTOR Point Tbisects UV. Find UVif UT = 2, inches. AMPLE 2 Exs. 11-16 ALGEBRA In each diagram, M is the midpoint of the segment. Find the indicated length. 13. Find JM. 6x +7 11. Find AM. 12. Find EM. x+5 4x +5 G M 14. Find PR. 15. Find SU. 16. Find XZ. бх — 11 10х - 51 x+ 15 4х — 45 2x + 35 5х - 22 M M FINDING MIDPOINTS Find the coordinates of the midpoint of the segment AMPLE 3 ExS. 17-30 with the given endpoints. 17. C(3, 5) and D(7, 5) 20. J(-7, -5) and K(-3, 7) 18. E(0, 4) and F(4, 3) 19. G(-4, 4) and H(6, 4) 21. P(-8, -7) and Q(11, 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.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.CR: Review Exercises
Problem 30CR: aWrite an expression for the perimeter of the triangle shown. HINT: Add the lengths of the sides....
Related questions
Question
can you help me with 3-16 please
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
.......
...
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