1. Complete the two-column proof below.AGiven: A is the midpoint of BC Prove: AC =BCStatementsReasons1.A is the midpoint of BC1. Given2.2. Definition of Midpoint3. BA = AC3. Definition of Congruent4. ВА + AC 3D ВС4.5.АC + AC 3 ВС5.6. 2AC 3D ВС6.7. AC =-BC7. 2. Complete the two-column proof below.Given: mz1 = m24 and m22 = mz3 Prove: MY0E = m²EOUUStatementsReasons1. mz1 = m24 and m22 = m231. Given2. mz1 + m22 = mzYoe2.m23 + mz4 = M2EOU3.m23 + m24 = m¿Y0e3.4.4.

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Answered: 1. Complete the two-column proof below.…

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

Problem 1CT

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10. Proves the conditions for similarity of triangles. M9GE-Ilg-h-1 MELC 11. Applies the theorems to show that given triangles are similar. (M9GE-III-1) 12. Proves the Pythagorean Theorem. (M9GE-III-2) As a continuation of our lessons last week, you will be proving and applying the following theorems involving: 10.5 Right Triangle Similarity Theorem 10.6 Special Right Triangle Theorems TRIANGLE SIMILARITY Triangle Angle-Bisector Theorem If a segment bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides. Illustration HD bisects LAHE, DA Then: Then: DE EH Notice: that sides on the numerators are adjacent. The same is true with the denominators. Proof Prove DA AH DE EH Proof Extend AH to P such that EP | HD. Given A. HD bisects 4AHE. Exercise A. Complete the Proof table to prove the theorem. Hints Statements Reasons No. List down the given Definition of angle What happens to the 21 = bisector bisected LAHE? 2| Page Mathematics…
Pls help in 20mins don't reject
Pls help in 20mins don't reject
Which reason is missing from the 2-column proof that ΔKHG≅ΔKHJ?
D. Construct a two-column proof. Two-column proof includes STATEMENTS AND REASONS. 1. Given: TI || HR Prove: AGHR ~AGTI H T.
Prove.
Supply the missing reasons to complete the proof. * Given: HO = HE, HP is an angle bisector of 20HE H- Prove: AOHP = AEHP Proof: Statement Reason 1. Hồ = HE 2. HP is an angle bisector 2. Given 1. Given of 2OHE 3. LOHP = ZEHP 3. 4. HP = HP 4. |5. ΔΟΗΡ ΔΕΗΡ 5. SAS Postulate Definition of Angle Bisector; CPCTC Definition of Angle Bisector, Reflexive Property O vertical Angle Theorem; CPCTC Vertical Angle Theorem; Reflexive Property
Direction Analyze the indicated figure in each item. Show the complete proof of each of the following by supplving the missing statements and reasons of the prooi. Given: LG = RY ZR Y Prove: ALOG = AROY Statements Reasons 1. LG = RY 1. R 2. 2.Given 2LOG =

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1. Complete the two-column proof below. A Given: A is the midpoint of BC Prove: AC =BC | Statements Reasons 1. A is the midpoint of BC 1. Given 2. 2. Definition of Midpoint 3. ВА %3DАC 3. Definition of Congruent 4. BA + AC = BC 4. 5. AC + AC = BC 5. 6. 2AC = BC 6. 7. AC =BC 7.