Can you answer 14-19 please @HomeTutormy.hrw.comChapter Review Practice1.2 Use Segments and CongruenceEXAMPLEFind the length of HJ.27GJ = GH + HJ segment Addition PostulateG18H27 = 18 + HJ9 = HJSubstitute 27 for GJ and 18 for GH.Subtract 18 from each side.EXERCISESEXAMPLESFind the indicated length.2,3, and 4for Exs. 9-129. Find AB.10. Find NP.11. Find XY.-3.216AB2N 22M 8 P12. The endpoints of DE are D(-4, 11) and E(-4, –13). The endpoints of GHare G(-14, 5) and H(-9, 5). Are DE and GH congruent? Explain.1.3 Use Midpoint and Distance FormulasEXAMPLEEF has endpoints E(1, 4) and F(3, 2). Find (a) the length of EF rounded tothe nearest tenth of a unit, and (b) the coordinates of the midpoint M of EF.a. Use the Distance Formula.EF = V (3 – 1)? + (2 – 4)² = V/2² + (-2)² = V8 = 2.8 unitsb. Use the Midpoint Formula.M1+3 4 + 22' 2— М(2, 3)EXERCISES13. Point Mis the midpoint of JK. Find JK when JM = 6x – 7 and MK = 2x + 3.In Exercises 14-17, the endpoints ofa segment are given. Find the length ofthe segment rounded to the nearest tenth. Then find the coordinates of themidpoint of the segment.EXAMPLES2, 3, and 4for Exs. 13-1914. A(2, 5) and B(4, 3)15. F(1, 7) and G(6, 0)16. Н-3, 9) and J(5, 4)17. K(10, 6) and L(0, –7)18. Point C(3, 8) is the midpoint of AB. One endpoint is A(–1, 5). Find thecoordinates of endpoint B.19. The endpoints of EF are E(2, 3) and F(8, 11). The midpoint of EF is M.Find the length of EM.Chapter Review53

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In Exercises 14–17, the endpoints of a segment are given. Find the length of the segment rounded to the nearest tenth. Then find the coordinates of the midpoint of the segment. 14. A(2, 5) and B(4, 3) 15. F(1, 7) and G(6, 0)

In Exercises 14–17, the endpoints of a segment are given. Find the length of the segment rounded to the nearest tenth. Then find the coordinates of the midpoint of the segment. 14. A(2, 5) and B(4, 3) 15. F(1, 7) and G(6, 0)

PREALGEBRA

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ISBN:9781938168994

Author:OpenStax

Publisher:OpenStax

Chapter9: Math Models And Geometry

Section9.3: Use Properties Of Angles, Triangles, And The Pythagorean Theorem

Problem 108E: On a map, San Francisco, Las Vegas, and Los Angeles form a triangle whose sides the shown in the...

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Can you answer 14-19 please

@HomeTutor
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Chapter Review Practice
1.2 Use Segments and Congruence
EXAMPLE
Find the length of HJ.
27
GJ = GH + HJ segment Addition Postulate
G
18
H
27 = 18 + HJ
9 = HJ
Substitute 27 for GJ and 18 for GH.
Subtract 18 from each side.
EXERCISES
EXAMPLES
Find the indicated length.
2,3, and 4
for Exs. 9-12
9. Find AB.
10. Find NP.
11. Find XY.
-3.2
16
A
B
2
N 22
M 8 P
12. The endpoints of DE are D(-4, 11) and E(-4, –13). The endpoints of GH
are G(-14, 5) and H(-9, 5). Are DE and GH congruent? Explain.
1.3 Use Midpoint and Distance Formulas
EXAMPLE
EF has endpoints E(1, 4) and F(3, 2). Find (a) the length of EF rounded to
the nearest tenth of a unit, and (b) the coordinates of the midpoint M of EF.
a. Use the Distance Formula.
EF = V (3 – 1)? + (2 – 4)² = V/2² + (-2)² = V8 = 2.8 units
b. Use the Midpoint Formula.
M1+3 4 + 2
2' 2
— М(2, 3)
EXERCISES
13. Point Mis the midpoint of JK. Find JK when JM = 6x – 7 and MK = 2x + 3.
In Exercises 14-17, the endpoints ofa segment are given. Find the length of
the segment rounded to the nearest tenth. Then find the coordinates of the
midpoint of the segment.
EXAMPLES
2, 3, and 4
for Exs. 13-19
14. A(2, 5) and B(4, 3)
15. F(1, 7) and G(6, 0)
16. Н-3, 9) and J(5, 4)
17. K(10, 6) and L(0, –7)
18. Point C(3, 8) is the midpoint of AB. One endpoint is A(–1, 5). Find the
coordinates of endpoint B.
19. The endpoints of EF are E(2, 3) and F(8, 11). The midpoint of EF is M.
Find the length of EM.
Chapter Review
53

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