WY = WZ bail M is the midpoint 40. Given: of YZ MX 1 WY MT 1 Zojpib tisz ow Prove: MX = MT 41.) Given: algnY M Isosceles AMNP

Elementary Geometry For College Students, 7e
7th Edition
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 #40 as a two column proof
AB = AC
38. Given:
Prove:
27 = 97
r shown), each base
gle. Find the measure of
PROOF
Reasons
Statements
r angle A is 5° more
e size of each angle of
1. Given
1. ?
2. ?
2. 22 21
3. ?
3. 22 and L6 are
supplementary; Z1 and
27 are supplementary
UTVA
the base of isosceles
and BC = 10.
4. If two Zs are supplemen-
tary to = Zs, they are =
4. ?
4 and BC = 146.
B x, and
UT to each other
R.
3 = I, and
Exercises 39 to 41, complete each proof.
21 = Z3
RU = VỤ T.00
bisects CAS
39. Given:
nding angle
Tm bas /
Prove:
ASTU is isosceles
(HINT: First show that
ARUS = AVUT.)
T.
3
TUDIE TY
40. Given:
WY = WZ
bail a
M is the midpoint
Um
of YZ
MX 1 WY animsiab
MT I WZojaib isz ow
edian
to EF.
nt triangles
Prove:
MX = MT
ng the
41. Given:
Isosceles AMNP
with vertex P
M
ow die aslgP
Isosceles AMNQ
with vertex Q
Prove:
AMQP = ANQP
Q
42. Yn isosceles triangle BAT, AB = AT.
JAlso, BR = BT = AR. If AB = 12.3
and AR = 7.6, find the perimeter of:
a) ДВАТ
b) AARB
7, 38
Transcribed Image Text:AB = AC 38. Given: Prove: 27 = 97 r shown), each base gle. Find the measure of PROOF Reasons Statements r angle A is 5° more e size of each angle of 1. Given 1. ? 2. ? 2. 22 21 3. ? 3. 22 and L6 are supplementary; Z1 and 27 are supplementary UTVA the base of isosceles and BC = 10. 4. If two Zs are supplemen- tary to = Zs, they are = 4. ? 4 and BC = 146. B x, and UT to each other R. 3 = I, and Exercises 39 to 41, complete each proof. 21 = Z3 RU = VỤ T.00 bisects CAS 39. Given: nding angle Tm bas / Prove: ASTU is isosceles (HINT: First show that ARUS = AVUT.) T. 3 TUDIE TY 40. Given: WY = WZ bail a M is the midpoint Um of YZ MX 1 WY animsiab MT I WZojaib isz ow edian to EF. nt triangles Prove: MX = MT ng the 41. Given: Isosceles AMNP with vertex P M ow die aslgP Isosceles AMNQ with vertex Q Prove: AMQP = ANQP Q 42. Yn isosceles triangle BAT, AB = AT. JAlso, BR = BT = AR. If AB = 12.3 and AR = 7.6, find the perimeter of: a) ДВАТ b) AARB 7, 38
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