Theorem 54=If a line divides two sides of a triangle proportionally, then it is parallel to the third side. Please answer in a two-column proof-statements and reasons. **Also, it should have ONLY one given (statement).** I have an example of how it should look like/how it should be done in the second picture.It is about lines proportional. The question is in the picture. *The question is completely clear, so please don't reject the question.* /5. D is the midpoint of side BC of triangleABC and the bisectors of angles ADBand ADC meet AB and AC at E and Frespectively.Prove: EF is parallel to BC. (See Theo-rem 54.) AutoSaveExercises 4_15 proofs 1 and. .Marc SkwarczynskiONExercise 4.15 #3: A triangle ABCis inscribed in a circle. M is themidpoint of AMČ and BMintersects AC at D.FileHomeInsertDrawDesignLayoutReferencesMailingsReviewViewHelpTable DesignLayout1DExercises 4.15 #3Given: Inscribed AABC; M midpoint of AMC; BMintersects AC in DAB ADProve:%3DBCDCABProve:BCADStatementsReasonsDC1. (see above)1. Given2. CM = AM2. Def. of midpoint3. ZCBM = - CM;3. An inscribed angle = ½the intercepted arc.%3D%3DZABM =AMM.4. - CM = - AM4. Division (of step 2)%3D2.5. Substitution5. ZCBM = LABM%3D(step 3 -> step 4)6. Def. of bisector6. BM bisects ZABC7. The bisector of aninterior angle of adivides the opposinternally into sewhich have the saAB7.BCAD%3DDCas the other two257 wordsfecus

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Description: Theorem 54=If a line divides two sides of a triangle proportionally, then it is parallel to the third side. Please answer in a two-column proof-statements and reasons. **Also, it should have ONLY one given (statement).** I have an example of how it s

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Answered: /5. D is the midpoint of side BC of…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.5: More Area Relationships In The Circle

Problem 9E

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Theorem 54=If a line divides two sides of a triangle proportionally, then it is parallel to the third side.

Please answer in a two-column proof-statements and reasons. **Also, it should have ONLY one given (statement).** I have an example of how it should look like/how it should be done in the second picture.

It is about lines proportional. The question is in the picture. *The question is completely clear, so please don't reject the question.*

/5. D is the midpoint of side BC of triangle
ABC and the bisectors of angles ADB
and ADC meet AB and AC at E and F
respectively.
Prove: EF is parallel to BC. (See Theo-
rem 54.)

AutoSave
Exercises 4_15 proofs 1 and. .
Marc Skwarczynski
ON
Exercise 4.15 #3: A triangle ABC
is inscribed in a circle. M is the
midpoint of AMČ and BM
intersects AC at D.
File
Home
Insert
Draw
Design
Layout
References
Mailings
Review
View
Help
Table Design
Layout
1D
Exercises 4.15 #3
Given: Inscribed AABC; M midpoint of AMC; BM
intersects AC in D
AB AD
Prove:
%3D
BC
DC
AB
Prove:
BC
AD
Statements
Reasons
DC
1. (see above)
1. Given
2. CM = AM
2. Def. of midpoint
3. ZCBM = - CM;
3. An inscribed angle = ½
the intercepted arc.
%3D
%3D
ZABM =
AM
M.
4. - CM = - AM
4. Division (of step 2)
%3D
2.
5. Substitution
5. ZCBM = LABM
%3D
(step 3 -> step 4)
6. Def. of bisector
6. BM bisects ZABC
7. The bisector of an
interior angle of a
divides the oppos
internally into se
which have the sa
AB
7.
BC
AD
%3D
DC
as the other two
257 words
fecus

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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