O TRIANGLES三ICompleting proofs involving congruent triangles using SSS or...Use the given information to prove that AABC ACDA.DCGiven: AB E CDHelp with ProofsCommon ErroFiguresZBAC LDCAProve: AABC ACDAStatementReasonGivenZBAC DCAReason ?AC3.Reflexive PropertyAABC ACDAReason ?ExplanationCheck4.

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Answered: Use the given information to prove that…

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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Use the given information to prove that AABC AADC. Given: ZACBİis a right angle ZACDİS a right angle ZBAC ZDAC Prove: AABC AADC Statement Reason 1 ZACB is a right angle Given 2 ZACD is a right angle Given ZACB 2 2|| All right angles are e 4 ZBAC ZDAC Reason ? AC AC Reason ? 6. AABC AADC Reason ?
In A ABC, segment DC bisects Z C and divides AB into segment AD and BD. If CD = 6 units and AC = 8.5, then which statement would justify that A ACD~A BCD? O A. Angle-Angle (AA) Similarity Statement O B. Side-Side-Side (SSS) Similarity Statement O C. It is not possible to determine if A ACD~ABCD D. Side-Angle-Side (SAS) Similarity Statement ID INTL 3
22. Using the information given, what would be reasons 2, 5, and 7 in the following two-column proof? Use the bank of reasons provided below. Given: QUAD is inscribed in circle S. Prove: mzQ + mLA = 180° Statements Reasons 1. QUAD is inscribed in circle S. 1. 2. MDQU = 2 · mLA 2. 3. MDAU = 2 · m2Q 3. 4. MDQU + MDAU = 360° 4. 5. 2 mLA + MDAU = 360° 5. 6. 2 mLA + 2 · mzQ = 360° 6. 7. 2(mLA + mQ) = 360° 7. 8. mzQ + mzA = 180° 8. Bank of Reasons: Substitution Division Property of Equality Distributive Property Given Definition of a circle and Angle Addition Postulate Definition of Inscribed Angles
In right triangle ABD with the right angle at vertex A, altitude AC is drawn from vertex A to side BD. Which of the following similarity statements are true as shown in the diagram? Select all that apply. ADBA ADAC ADBA ADCA AADC AABC AADC ~ ДВАС ADAB A ACB ADAB AABC
Give the reason for the triangles to be similar (AA~, SAS~, or SSS~) and write a similarity statement. x Clear * Undo A Redo P R. 4 Reason: 15 Similarity Statement: A PZF 12
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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Use the given information to prove that AABC ACDA. D Given: AB E CD O Help with Proofs • Common Erro Figures ZBAC LDCA Prove: AABC ACDA Statement Reason AB = Given ZBAC DCA Reason ? 3. AC Reflexive Property 4 AABC ACDA Reason ?