1. Prove: AMQP = LI 42. In isosceles triangle BAT, AB = AT. C o1 i Also, BR = BT = AR. If AB = 12.3 and AR = 7.6, find the perimeter of: a) ΔΒΑT b) AARB c) ARBT %3D 43. In ABAT, BR = BT = AR, and mZRBT = 20°. Find: the a) mZT b) MLARB T Exercises 42, 43

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.6: Segments Divided Proportionally
Problem 34E: Use Exercise 33 and the following drawing to complete the proof of this theorem: The length of the...
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I am having trouble doing #42.
BC 1.41
Suppose that AABC
and DY bisects LFDE. Are thesl
bisectors of congruent triangles congruell
WI
40. Given:
M is the midpollll
of YZ
Suppose that AABC ADEF, AX is the median
from A to BC, and DY is the median from D to EF.
Are these corresponding medians of congruent triangles
Thada od MX 1 WY
t od MT I WZ
Prove:
Exercises 35 36
MX = MT
Y
M
41.)Given:
Isosceles AMNP
di lwith vertex P
Isosceles AMNQ
with vertex Q
AMQP = ANQP
congruent?
Ctercises 37 and 38, complete each prgf asing the
zing below.
ow iw a P
A
Given
23 1
Prove:
Prove:
AB AC
42. In isosceles triangle BAT, AB = AT. C 01
Also, BR = BT = AR. If AB = 12.3
and AR = 7.6, find the perimeter of:
B/
Exercises 37, 38
a) ABAT
b) AARB
c) ARBT
PROOF
Statements
Reasons
43. In ABAT, BR = BT = AR,
and mZRBT = 20°. Find:
3 = L1
1. ?
2. If two lines intersect, the
a) mZT
b) MLARB
c) mLA
vertical Ls formed are =
3. Transitive Property of
T
Exercises 42, 43
Congruence
4. ?
AB = AC
44. In APMN, PM = PN, MB bisects
ZPMN, and NA bisects ZPNM.
If mZP =
36°, name all isosceles
triangles shown in the drawing.
Transcribed Image Text:BC 1.41 Suppose that AABC and DY bisects LFDE. Are thesl bisectors of congruent triangles congruell WI 40. Given: M is the midpollll of YZ Suppose that AABC ADEF, AX is the median from A to BC, and DY is the median from D to EF. Are these corresponding medians of congruent triangles Thada od MX 1 WY t od MT I WZ Prove: Exercises 35 36 MX = MT Y M 41.)Given: Isosceles AMNP di lwith vertex P Isosceles AMNQ with vertex Q AMQP = ANQP congruent? Ctercises 37 and 38, complete each prgf asing the zing below. ow iw a P A Given 23 1 Prove: Prove: AB AC 42. In isosceles triangle BAT, AB = AT. C 01 Also, BR = BT = AR. If AB = 12.3 and AR = 7.6, find the perimeter of: B/ Exercises 37, 38 a) ABAT b) AARB c) ARBT PROOF Statements Reasons 43. In ABAT, BR = BT = AR, and mZRBT = 20°. Find: 3 = L1 1. ? 2. If two lines intersect, the a) mZT b) MLARB c) mLA vertical Ls formed are = 3. Transitive Property of T Exercises 42, 43 Congruence 4. ? AB = AC 44. In APMN, PM = PN, MB bisects ZPMN, and NA bisects ZPNM. If mZP = 36°, name all isosceles triangles shown in the drawing.
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