Given: ABCD is an isosceles trapezoid. M is the midpoint of AB. Prove: DM = CM M B D M is the AM = MB 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? AD = BC; the legs of an isosceles trapezoid are congruent ZMAD = ZMBC; the base angles of an isosceles trapezoid are congruent C HeAN ZABC = ZDAB; if lines are parallel, interior angles on the same side of a AM = BM; corresponding parts of congruent triangles are congruent D transversal are supplementary

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Given: ABCD is an isosceles trapezoid. M is the midpoint of AB.
Prove: DM = CM
M
B
M is the
AM = MB
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
ZMAD = ZMBC; the base angles of an isosceles trapezoid are congruent
ZABČ = ZDAB; if lines are parallel, interior angles on the same side of a
transversal are supplementary
AM = BM; corresponding parts of congruent triangles are congruent
164
Transcribed Image Text:Given: ABCD is an isosceles trapezoid. M is the midpoint of AB. Prove: DM = CM M B M is the AM = MB 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 ZMAD = ZMBC; the base angles of an isosceles trapezoid are congruent ZABČ = ZDAB; if lines are parallel, interior angles on the same side of a transversal are supplementary AM = BM; corresponding parts of congruent triangles are congruent 164
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