Apr 24, 1E03:54 AMFill in the missing statement and reason of the proof below.Given: LBDELCDE and BD = CD.Prove: LABD ZACD.StepStatementReason1Given2If two angles form a linear pair, then they are supplementaryIf two angles form a linear pair, then they are supplementary345Reflexive Property6SAS7Corresponding Parts of Congruent Triangles are Congruent(CPCTC)BDZBDEBD CDLADB and LBDE are supplementaryZADC and LCDE are supplementaryType of StatementADADAADB AADCZABD ZACDZCDEeMissing StepE74°F

As all the statements and reasons are written correctly we can answer step 4 with reason in the…

Answered: Fill in the missing statement and…

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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ATVW AUWV. Complete the proof that ATUW = AUTV. V 1 2 3 4 5 W X U Statement ATVW AUWV TW UV TV UW T TU TU ATUW AUTV Reason ▸ 4
R Prove that line segment UV is congruent to line segment TU. Reason Statement 1. Given 1. ST 11 TU 2. ST RV 2. Given 3. Given 3. RV 1 UV 4. Given 4. RUV ZSUT 5.2 5. ARUV E ASUT 6. СРСТС 6. UV TU ere to search
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…
Given AB CD MLHMJ - 103 m/NGE = 130 M Select the corect statement and reason O 2CGH- S0 NGE and ZCGH ae verteal anges O ZGNM 103 HMJ and 2GNM we corespondng angles O HMN 77 HMJand HMN we altemate interior angles 2GNL-77 HMN and GNL re same-sde imor angles
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
Given: LABG Prove: ABGC Step (4 3 4 5 8 9 LFEI, CH = HD and BC DE. AEID. Reason Given In a triangle, angles opposite of congruent sides are congruent Vertical angles are congruent Vertical angles are congruent Transitive Property If two angles form a linear pair, then they are supplementary If two angles form a linear pair, then they are supplementary ASA E F Statement LABG LFEI CH2 HD BC DE LHCD = LHDC LBCG ZHCD LEDI ZHDC LBCG LEDI LABG and ZCBG are supplementary LFEI and ZDEI are supplementary Type of Statement ABGC AEID B the C H D
Which of the following is the best reason for statement number 2 in the table below? Given: AABC Prove: AABC AABC A B Statement Reasons 1. ΔΑΒC 1. Given 2. AB =AB; BC =BC; AC = AC 2. 3. 3 Definition of Congruent Triangles A. Symmetric Property of Congruence B. Transitive Property of Congruence C. Definition of Congruent Triangles D. Reflexive Property of Congruence

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