Write down all key words you see in the problem as you make your choice. 3 Given: AB||DC and AB = DC Which congruence statement(s) can be proven using the givens and the figure above? A. AABC = ADCA only B. ABAC= ADAC only C. ACAB EACD only D. All three of the congruence statements above can be proven. (Select all that apply.) A D O O O O

Q: 19. Write the justification for each step in the following proof. Given m<BAD = 100"; m<BAC = (6x +…

A: We have the given figure as We have, m∠BAD=100°m∠BAC=6x+8°m∠CAD=2x-4°

Q: Determine which of the following biconditional statements are true. (a) x² = 4 (b) lx-5 |<0 if and…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Which of the following statements are correct? (Select all that apply.) (2ª) = 22 ab (2°)° = #b O…

A:

Q: Choose the correct statement(s) below. Select all that apply. A |B = B| A AUB= BUA If A and B are…

A:

Q: Match the given expressions to the conclusion that can be drawn from this statement 3 An B- A AUB-A…

A:

Q: Given: AB 1 BC, AD 1 DC and BC || AD. Prove: AABC ACDA. Step Statement Reason AB 1 BC AD 1 DC Given…

A:

Q: 1. Consider the diagram below where OR RE and AO |[EM. R M. Suppose that AROA = AREM. Explain how…

A: Given: OR¯≅RE¯AO¯∥EM¯ To prove: △ROA≅△REM                 using ASA and AAS property of congruency.…

Q: 14. In the diagram below, FE = GH and ZE LH. What additional information is needed so that AFEX AGHX…

A: SAS Rule  If any two sides and the angle included between the sides of one triangle are equivalent…

Q: Given △TOP is similar to △CAT . If OPAT = 5/2, which of the following statements is true?   a)…

A:

Q: Supply the missing statements and reasons. Given: 21 = L2; -20 AB = CD Prove: 23 24 19, 4 Proof: A…

A:

Q: Given the simple statements: am: The number ends with 3. be: The number ends with 5. ew: The number…

A:

Q: Given: AB|| ED and AD and BE bisect each other E D Part A Complete the proof that AABC ADEC. Select…

A:

Q: Given: AD 1 DB, BC 1 CA and ZDAB 2 ZCBA. Prove: AADB ABCA. Step Statement Reason AD I DB BC 1TA…

A:

Q: 2. ADST = A

A: Given problems Complete the congruence statement using the figures provided. 1.     2.

Q: A professor writes 40 discrete mathematics true/t these questions, 17 are true. If the questions can…

A:

Q: his Is wrong. Inly the 3.18 part is correct.

A: Regression equation is calculated using the relationship between the independent and dependent…

Q: Which of the following begins the two main parts of a direct proof of AU (BNC) = (AUB) n(AUC)?…

A:

Q: Given: AC E BD and ZCAB ZDBA. Prove: AABC ABAD. Step Statement Reason AC BD Given ZCAB ZDBA try Type…

A: Given Data: Congruent side: AC≅BD Congruent angle: ∠CAB≅∠DBA

Q: Given: AC BD and AC and BD bisect each other. Prove: BE EC. Step Statement Reason AC BD Given AC and…

A:

Q: 2. Prove the Distributive Laws: a. An(BUC) = (An B)U(AnC) b. AU(BnC) = (AUB)N(AUC)

A: We have to prove the Distributive low…

Q: Use Contrapositive method to proof the following statement. (a) Suppose a E Z, if a? + 5a is even,…

A: Given: using contrapositive method

Q: In the diagram, 2L = ZN and ZLOM = ¿NMO. The two column proof shows ALMO = ANOM. Which of the…

A: Consider the triangles △LMO and △NOM. From the given figure, we can see that ∠L of △LMO and ∠N of…

Q: Given: AB BC and ZAEB = ZCEB. Prove: AD CD. Step Statement Reason AB BC Given ZAEB LCEB try Type of…

A: Given data is : AB¯≅BC¯  and  ∠AEB≅∠CEB Sum of linear pair is 180∘ Therefore ,…

Q: S. Given: AD BC LA= LB Prove: BD = AC D Proof: Statement Reasen 1. 1. 2. 2. 3. 3. 4. S.

A: Use the congruent postulate of the triangles.

Q: Complete the proof that AGJK AHIK. K G Statement Reason 1 GRu FR Given 2 Given LGKI LHKI B SAS…

A: Here, we will first prove that both triangles are similar using SAS ( SIDE-ANGLE-SIDE) CONGRUENCY…

Q: Which of the following statements are correct? (Select all that apply.) O (2°) = ba" z* + z*** =2*…

A: power rules

Q: elect the appropriate step from the given steps to prove the given statement. -)n (C- B) = Ø. What…

A: Introduction: Assume the polar opposite of what you've arrived at.Use the assumption to generate new…

Q: Does there exist a Pythagorean triple (a, b, c) where c equals the sum of a and b? A different way…

A:

Q: ag contains tiles with the letters C-O-M-B-I-N-A-T-I-O-N-S. Lee chooses a tile w king and doesnt…

A: No. of tiles = 12 No. of tiles with letter O = 2

Q: 8. EXTRA CREDIT A Given: AB 1 BC, dC I BC, AC DB Prove: AB 2 DC C STATEMENT REASON

A: Solution of this question is

Q: . Consider the statement: Let A, B ∈ Z. If 6|A and 10|B, then 4|(A2 + B2). (a) Prove the statement.…

A: 5. Consider the statement: Let A, B ∈ Z. If 6|A and 10|B, then 4|(A^2 + B^2). (a) Prove the…

Q: What is the reason for #6? Given: DE||BC Prove: AD AB DB EC B Statement Reason 1. DE||BC 1. 2. mLA =…

A:

Q: Part of a proof is shown. Given: ZFBC LFCB AB DE ZGCD LGDC CF || DG Prove: BF |CG F Statement Reason…

A: CF is parallel to DG So angle BCF =angle CDG (Corresponding angles) So option A is correct.

Q: Which statement would justify D ABC ~ D DEF? D. 11 SO 45 6/ 10 A 55

A:

Q: Day HW: Worksheet Name: . Fill in the blanks for the following proof Given: 21 = Z3 Prove: 26 = 24…

A: 2) &lt;3≅&lt;6     a.vertical angles theorem (vertical angles are congruent)3)Translative property…

Q: VIII. Supply the missing statement and reason. Given: AR = MS A. M Prove: AM - RS Statements Reasons…

A: Given : AR=MS To Prove : AM=RS

Q: Given: AB || DC and AB DC. Prove: AABE ACDE. Step Statement Reason AB DC Given AB DC try Type of…

A:

Q: 2. GIVEN: DC || AB, DC = BA D C 3 PROVE: AADC = ACBA 1 PROOF: B A

A:

Q: siven: BA DC, BA 1 AD and AD I DC. Prove: ΔΒAD ΔCDA. Step Statement Reason BA DC BALAD Given AD I DC…

A: Given: BD¯≅DC¯,  BA¯⊥AD    and   AD¯⊥DC

Q: 3. Justify each step in the following proof of Proposition I(SEGMENT SUBTRACTION). IFA' B *C.D'E'F.…

A: Given the proof, we have to give reasons for each step.

Q: Write the complete proof in your paper homework and for online (only) respond to questions or…

A:

Q: Part of a proof is shown. Given: ZFBC= ¿FCB A B DE ZGCD LGDC CF || DG Prove: BF ||CG G Statement…

A: We have to give the statement for the proof.

Q: 8. Part of a proof is shown. Given: FBC LFCB A B DE ZGCD LGDC CF ||DG Prove: BF |CG Statement Reason…

A: And given table Statement  reason  1. ∠FBC ≅ ∠ FCB given 2. ∠GCD ≅ ∠ GDC given 3. CF||DG…

Q: Determine whether A = B, AC B, BCA, ACB, BC A, or if none of these applies. A={autumn, winter,…

A:

Q: Suppose x, y, z E N and A C N. 1. Write down the converse of the following statement. If x € A then…

A: Let p,q be two statements. Let us take a conditional statement, If p then q. Then converse of this…

Q: B. 3) Given: ABL BC, ADL DC AB = CD Prove: BC II AD D. Reasons Statements

A: C.P.C.T= corresponding parts of congruent triangles  Converse of Alternate angle Theorem Two lines…

Q: Determine whether the below given statement is true or false. If the statement is false, make the…

A: Given: 52·5-2&gt;25·2-5

Q: Given: AACF ABDF,FAI DB and FB 1 AC. Prove: AADB ABCA. Step Statement Reason AACF ABDF FAIDB Given…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.