Given: LM || PQ. M MZQLP - M2NMI. Prove: AQLP - ANML. Statements Reasons LM || PO Given 2. ZIPQ = ZMLN 2. Alternate Interior 2's MZQLP = 12NML. 3. Given ZOLPa ZNMI. Defn. of Congruence 5. AQLP – ANMI. 5. SAS Similarity Given: ZTUV is supplementary to ZSTU, RT ST UT VU Prove: ARST - ATVU R Statements Reasons ZTUVis wpplementary to /STU 1. Given 2. /RIS is supplementary to /STU 2. Congruent Supplements Theorem 3. Supplement Theorem (Linear Pair Theorem) ZRIS a ZTUV RT ST UT PU 4. 4. Given 5. ARST - ATVU 5. AA Similarity

Q: What additional information is needed to prove the triangles similar by the SAS Similarity…

A:

Q: 2. Complete the proof. Given: QS || RT, L.R = LS Prove: ZQTS LTQR Statements Reasons 1) ? 1) Given…

A:

Q: A partially completed proof is shown. Given: FG = GH, JK KL, ZF ZJ Prove: AFGH - A JKL K H. Complete…

A: Given FG≅GH,   JK≅KL,  ∠F≅∠J To prove  ∆FGH~∆JKL

Q: A partially completed proof is shown. Given: FG = GH, JK = KL, ZF = LJ Prove: AFGH - A JKL K. H J…

A: It is given that, FG≅GH , JK≅KL and ∠F≅∠J. Since two sides of ∆FGH are equal to the two sides of…

Q: -10 Which statement correctly describes why the two triangles are similar? O AJKL is obtained by…

A: Dilation of any geometric figure by a factor of m is the transformation in which the original shape…

Q: 2. Given: PQ=RS, and ZPQS=ZRSQ R Proof #3 Prove: AABCEADBC Reasons 1. Given Statements 1. PQ = RS 2.…

A:

Q: The different loul equaticn 5. %3D can be wntten in He torw n He tor m MX, y)dn t N(x,4) dy =0 Find…

A:

Q: W 29) What additional information can be used to prove AVUW E AYXZ by ASA? A) Zv = Zz B) 스w Zz D)…

A: We have to find extra condition for congruence of the triangles VUW and YXZ by ASA. Given △VUW≅△YXZ…

Q: 76/5 20 16 19 Not drawn to scale. Which similarity theorem proves that the two triangles are…

A: given,

Q: Write a paragraph proof. 15. Given: ZNOM = LPOR, NM 1 MR PRI MR, NM = PR Prove: MO OR N M 'R

A: Answer

Q: 8. Given: OPQRS; PX bisects 2QPR; RY bisects 2 SRP. Prove: RYPX is a O. S R Y

A: Given that, in the parallelogram PQRS: PX bisects <QPR. RY bisects <SRP. Now in parallelogram…

Q: Given: QR bisects ZEQW: 221 Prove: ER RW

A:

Q: Given: Lis the midpoint of KN and MP M Prove: AMKL APNL Statements Reasons 1. 1. 2. 2.

A: When two triangles are congruent they will have exactly the same three sides and exactly the same…

Q: In the diagram below, ZGRS = ZART, GR = 36, SR=45, AR= 15, and RT = 18. G 36 A 15 R S 45 T 18 Which…

A: To choose the right option.

Q: Which of the following best completes the proof showing that AWXZ - AXYZ? OY Z 2.5 Wo 10 Since xZ 1…

A:

Q: For 5 - 10, use isosceles trapezoid JKLM to answer true or false. 5. KL = JM K 5. . 6. KM = LJ 7.…

A:

Q: A. Given: 2QPR LSPW ZQPR LSPW Prove: QR = SW QR = SW Proof: Statement Reason 1. 4QPR E LSPW LQPR &…

A:

Q: Use the given information to state the third congruence that is needed to prove AMNO =ARST by the…

A: The given figure is as follows -  Given -  ∠M ≅ ∠RRT¯ ≅ MO¯The method used to prove that ∆MNO ≅…

Q: 7. Given: TA bisects ME at R, ME bisects TA at R, and TM = AE. R. Prove: ATRM = AARE

A:

Q: 10. Given: YX = ZX WX bisects YXZ Prove: AWYX AWZX Statements Reasons

A:

Q: 1. If OR 1 PQ at S, m/P 30 and PO = 12cm, find PQ. 2. If OR 1 PQ at S, m/Q = 60 and 0Q = 8cm, find…

A: our objective is to find the lengths

Q: Given Triangle XYZ where XY÷ZY and YW bisects ZXYZ, complete the proof to show AXYW is congruent to…

A:

Q: 2. Given: KM bisects ZJKL. Prove: m22 = m23 %3D K M 3.

A: Concept- Opposite angle are same

Q: Use the diagram to answer the following question. R Which parts must be congruent to prove APQR APSR…

A: Given

Q: 3. If point P is the centroid of AMNO, which statements can be deduced? Select all that apply. M R S…

A:

Q: Given: AKLM, KL = LM, A E KM , BE KM, AK= BM Prove: ΔΑKL ΔBML, AALB is isosceles L M A B mZAKL=mZ by…

A:

Q: 2. R Complete the proof. Given: QS || RT, LR = LS Prove: ZQTS = L TQR Statements Reasons 1. QS ||…

A: As per Bartleby guidlines, i have provided the solution of 1 question, if you need more solution,…

Q: Given: AB || DC, AB DC Prove: M is the midpoint of both DB and AC M Statements Reasons 1. AB DC 1.…

A: We have given a parallelogram ABCD in which AB||BC. Also the diagonals AC and BD intersect each…

Q: M D G L Suppose TD: SG and MD= SL. What additional information is needed to prove the two triangles…

A: For congruence of triangle on basis of SAS it is necessary that two sides and one angle of triangle…

Q: 24. Given: AS | BT; m L4 = m L 5 Prove: SA bisects ZBSR. 25. Given: AS || BT; m L4 = m 25; SB…

A: To Determine: to prove 24)SA→ bisects ∠BSR 25) also find the measure of ∠1 Given: we have a figure…

Q: 2. Given ACON and AVEX. Which similarity theorem will justify that these two trian similar with the…

A: As per bartleby guidelines for more than one question asked only one is to be answered, kindly…

Q: 17 Given: AFJH is isosceles, with base JH. K and G are midpoints. FK 2x + 3, GH = 5x – 9, JH = 4x K…

A:

Q: The diagonals of square LMNP intersect at K. Given that LK=1, find KN.: P %3D

A: Diagonal of square bisect each other

Q: Given:ZP ZT, m/PRQ > m/TRQ R T. Prove:A PQR is not congruent to A TQR Which set of statements could…

A:

Q: Consider the figure below. M N PM = PN,LM 1 MN,MN 1 ON LN bisects ZMN0,0M bisects ZLMN Given: Which…

A: Option  (b)  is  correct

Q: - for oen n and aut -2 for ald n. aut! On aute < 1< bh sap = 2 An Auti ie Rutto tast fails la - **…

A:

Q: Os Find the Taylor seaies af the gien funkon Point as conter and deteamina the with the vadius af…

A:

Q: 6. Which of the following would not be sufficient information to conclude that AXYZ is similar to…

A:

Q: The figure shows two adjacent triangles, AMAH and ATAH, where AH bisects ZMHT and MH TH. Prove that…

A: We have to prove that angle M is equal to angle T.

Q: For an analy tic funchion, flxtig)=u(x,y) + fr(x,4) u is given by M- 32-3 esppression fox yI…

A: Here we will find out the required value of v(x,y).

Q: 5. Given: NO bisects 4MNO. ZMPQ LOPQ D. Prove: ANMP ANOP Proof: Statement Reason 1. 1. 2. 2. 3. 3.…

A:

Q: Use the diagram to answer the following question. Which parts must be congruent to prove APQR APSR…

A:

Q: A question and the theorem are in the pictures

A:

Q: Given: KM = KN Ray KO bisects ZMKN Prove: Ray LO bisects ZMLN M

A: GivenKM=KNtherefore ∆MKN is as isocsales triangle.and KO bisect ∠MLN We know in iso-scales triangle…

Q: Which similarity theorem shows that APQR is similar to ATSR? 18 A 12 24 SSA O AA SAS ASA

A:

Q: 1. Draw and label the intersection of LM and ray SQ at point S. 2. Point L lies between K and M. If…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Consider the following coordinates. W(1,8), X (7,8), Y(4, 5), and Z(1,2) Select all methods you…

A: Given : W(1,8), X(7,8), Y(4,5) and Z(1,2) To find : All methods to prove triangle WYZ  is congruent…

Q: Write proofs in two-column form.

A: Join R and T, we get

Q: Chaim tried to prove that AJKLE ALMN. K 27 27 J Statement Reason 1 JK = LM = 3 Given JL = LN = 5…

A: Given

Q: In the diagram below, ZGRS LART ,GR 36,SR= 45,AR = 15, and RT = 18. 8 %3D 36 15 R S T 45 18 Which…

A: To find the solution

Statements and Logic

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