V4. Given: Chord AB = chord CD%3DProve: AP = CP; BP = DP%3D%3D Excerases 5.7 # 28.11144 pq. 121 * FextbookCrahementsRreanons1. Crche O won diarneber 1. Buvenchard cD nób adiameber2. Boance from2. Pel. & dianebertoArB =8 Czero3. Draw OE L CD3. Exactiy 1 1 can bedramen to a Vane from aA. atorde Bhe Vive.of11 Can be4. DE >Ø4 The whdee > aryts parts5. Theorem 385. AB> CDGven: Chard AB = chard CbStabementsReagensProng: AD cB%3D1. Gven1. Chad AB Chard cohavn2. Is Bhe some carcle, equal chardsMbtend equal arcs.8 the whole is = Phe Sum of ah part2. A3. ÁB- AD+pE4. AD +PB - CB +e5. ÁD = CBStabements1. Cwcle, dianebey AB b CDchad F ; AB I co, EF I| AB4 Subostitutren5. SulbractrenRearens1. Gvey2.2. CD 1EF3. A drometer3. Co binects EPRosensBatements1. Gwen1. Crdle O, deaeter ABA,

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Asked Feb 3, 2020
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About geometry circle proof. Please write it like column proof(statements and reasons), so that I can understand easier. THE SECOND IMAGE IS THE EXAMPLE OF HOW IT IS. Please helpppp

V4. Given: Chord AB = chord CD
%3D
Prove: AP = CP; BP = DP
%3D
%3D
help_outline

Image Transcriptionclose

V4. Given: Chord AB = chord CD %3D Prove: AP = CP; BP = DP %3D %3D

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Excerases 5.7 # 28.1114
4 pq. 121 * Fextbook
Crahements
Rreanons
1. Crche O won diarneber 1. Buven
chard cD nób a
diameber
2. Boance from
2. Pel. & dianeber
to
ArB =8 Czero
3. Draw OE L CD
3. Exactiy 1 1 can be
dramen to a Vane from a
A. atorde Bhe Vive.
of
11 Can be
4. DE >Ø
4 The whdee > ary
ts parts
5. Theorem 38
5. AB> CD
Gven: Chard AB = chard Cb
Stabements
Reagens
Prong: AD cB
%3D
1. Gven
1. Chad AB Chard co
havn2. Is Bhe some carcle, equal chards
Mbtend equal arcs.
8 the whole is = Phe Sum of ah part
2. A
3. ÁB- AD+pE
4. AD +PB - CB +e
5. ÁD = CB
Stabements
1. Cwcle, dianebey AB b CD
chad F ; AB I co, EF I| AB
4 Subostitutren
5. Sulbractren
Rearens
1. Gvey
2.
2. CD 1EF
3. A drometer
3. Co binects EP
Rosens
Batements
1. Gwen
1. Crdle O, deaeter AB
A,
help_outline

Image Transcriptionclose

Excerases 5.7 # 28.1114 4 pq. 121 * Fextbook Crahements Rreanons 1. Crche O won diarneber 1. Buven chard cD nób a diameber 2. Boance from 2. Pel. & dianeber to ArB =8 Czero 3. Draw OE L CD 3. Exactiy 1 1 can be dramen to a Vane from a A. atorde Bhe Vive. of 11 Can be 4. DE >Ø 4 The whdee > ary ts parts 5. Theorem 38 5. AB> CD Gven: Chard AB = chard Cb Stabements Reagens Prong: AD cB %3D 1. Gven 1. Chad AB Chard co havn2. Is Bhe some carcle, equal chards Mbtend equal arcs. 8 the whole is = Phe Sum of ah part 2. A 3. ÁB- AD+pE 4. AD +PB - CB +e 5. ÁD = CB Stabements 1. Cwcle, dianebey AB b CD chad F ; AB I co, EF I| AB 4 Subostitutren 5. Sulbractren Rearens 1. Gvey 2. 2. CD 1EF 3. A drometer 3. Co binects EP Rosens Batements 1. Gwen 1. Crdle O, deaeter AB A,

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Expert Answer

Step 1

Given: if the chord AB = chord CD then prove that AP = CP and BP = DP.

Step 2

First, we constructed OE and OQ perpendicular on AB and CD respectively.

Geometry homework question answer, step 2, image 1
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Step 3

Statement

Reason

Given: Chord AB and CD are equal of the same circle.

Then OE = OQ

Equal chords of a circle are equidistant from the center

Now, In triangle OEP and OQP,

OE = OQ, OP = OP and the angle OEP = OQP = 90.

Then triangle OEP congruent to triangle OQP.

Two sides and one angle are same in two triangles than the triangles are congruent.

EP = QP

Tringle OEP and OQP are congruent.

Also, AE = EB = ½ AB and CQ = QD = ½ CD

The line joining the center of the circle is perpendicular to the chord and bisects the chord.

Now, AB = AC then

AE = EB = CQ = QD  

 

Now, EP = QP

Tringle OEP and OQP are congruent.

Then EP – BE = QP – BE

    &nb...

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