Given: ABCD is an isosceles trapezoid. M is the midpoint of AB. Prove: DM = CM AM = MB M is the midpoint of AB. def of midpoint given DM CM AADM = ABCM СРСТС ABCD is an isosceles trapezoid. given AD = BC def isosceles trapezoid What is the missing statement and reason that completes the proof shown above? A AD BC; the legs of an isosceles trapezoid are congruent B ZMAD 2MBC; the base angles of an isosceles trapczoid arc congruent AM BM; corresponding parts of congruent triangles are congruent ZABC ZDAB; if lines are parallel, interior angles on the same side of a transversal are supplementary D

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...
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Given: ABCD is an isosceles trapezoid. M is the midpoint of AB.
Prove: DM - CM
M
B
D
AM = MB
M is the
midpoint of AB.
def of midpoint
given
DM CM
AADM = ABCM
СРСТС
ABCD is an
isosceles
trapezoid.
given
AD = BC
def isoseeles
trapezoid
What is the missing statement and reason that completes the proof shown above?
AD = BC; the legs of an isosceles trapezoid are congruent
B
ZMAD 2MDC; the base angles of an isosceles trapczoid arc congruent
C
AM BM; corresponding parts of congruent triangles are congruent
ZABC ZDAB; if lines are parallel, interior angles on the same side of a
transversal are supplementary
D
Transcribed Image Text:17 /19 66.7% 88. Given: ABCD is an isosceles trapezoid. M is the midpoint of AB. Prove: DM - CM M B D AM = MB M is the midpoint of AB. def of midpoint given DM CM AADM = ABCM СРСТС ABCD is an isosceles trapezoid. given AD = BC def isoseeles trapezoid What is the missing statement and reason that completes the proof shown above? AD = BC; the legs of an isosceles trapezoid are congruent B ZMAD 2MDC; the base angles of an isosceles trapczoid arc congruent C AM BM; corresponding parts of congruent triangles are congruent ZABC ZDAB; if lines are parallel, interior angles on the same side of a transversal are supplementary D
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