Below is a two-column proof incorrectly proving that the three angles of APQR add up to 180°: Statements Reasons Draw line ZY parallel to PQ Construction MLZRP + MZPRQ + MZQRY = mZZRY Angle Addition Postulate %3D LZRP E ZRPQ Alternate Interior Angles Theorem ZQRY E ZPQR Alternate Interior Angles Theorem MZRPQ + MZPRQ + MZPQR = MLZRY Substitution MZZRY = 180° Definition of a Straight Angle MZRPQ + mzPRQ + MZPQR = 180° Additive Property of Equality Which statement will accurately correct the two-column proof? The measure of angle ZRY equals 180° by definition of supplementary angles. O Angles QRY and PQR should be proven congruent before the construction of line ZY. O The three angles of APQR equal 180° according to Substitution. O Line ZY should be drawn parallel to segment QR.

Q: Complete the two-column proof to show that same-side exterior angles are supplementary. 5. Given: p…

A: Congruent Angles Theorem.

Q: Jordan said that the reason for #2 was Alternate Interior Angles, which is incorrect. Why can it not…

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Q: Suppose that Tis a point on side PQ of APQR. Also, RT bisects ZPRQ, and ZP = 2Q. If Z1 and 2 are the…

A: Consider triangle PQR, As RT bisect angle R, ∠PRT=∠QRT Given that ∠P=∠Q ∠RTP=∠1∠RTQ=∠2

Q: partially completed proof is shown.    Given: Parallelogram  PQRSPQRS with diagonals  PR¯¯¯¯¯ and…

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Q: Write a two column proof to prove the following: If a transversal intersects two parallel lines,…

A: Given, Statement: If the transversal intersects two parallel lines then the bisectors of two…

Q: For each inscribed quadrilateral, determine the angle measures. 8. Y (8x + 21) mZX= 9. m2C = (10x -…

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Q: Complete the two-column proof to prove the following Given: Square ABCD with diagonals AC and BD…

A: Given that ABCD is a square. The diagonals are AC¯ and BD¯  We've to show that CB¯ ≅CD¯ Also E is…

Q: The diagonals of rectangle QRST intersect at P. Given that mZPTS = 34° and QS = 10 , find MZSRT. %3D…

A: Find the angle SRT

Q: Given: ZM is a right angle in ANMQ (not shown); mZN = 57° Find: m¿Q %3D

A: It is given that, The △NMQ is right angled at M i. e. ∠M=90° The angle ∠N=57° The corresponding…

Q: A. Fill in the missing statements and reasons. Given: LR = CR NM T MT NM T NƆ N Prove: ALWR = ACNR…

A: given problem is solved below in detail.

Q: MZTQR = 10. If ZCDE is a straight angle, DE bisects ZGDH, MZGDE = (8x - 1), mZEDH = (6x + 15), and…

A: The given measures are,∠CDE is a straight angle.m∠GDE=(8x-1)°m∠EDH=(6x+15)°m∠CDF=43°

Q: The bisectors of two adjacent supplementary angles form a right angle. ZABC is supp. to ZCBD BÉ…

A: Given ∠ABC is supplementary to ∠CBD. BE→ bisects ∠ABC. BF→ bisects ∠CBD. We have to prove that ∠EBF…

Q: Complete the proof that mzQVW + MZTSX = 180°. W V R. K Statement Reason UW I IK Given Given RT IK…

A: same side interior angle theorem states: If a transversal intersects two parallel lines, each pair…

Q: Given the regular hexagon, find the measure of each numbered angle. O A. mz1 = 30°, m2= 60°, mZ3 =…

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Q: Complete the following two-column proof using the drop down menu options. Statements Reasons 1…

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Q: Find the measure of each angle in Triangle ABC. mLa = (40x - 21)" m2b = (31 - 2x)* m/c = |3D %3D (+…

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Q: A partial proof was constructed given that MNOP is a parallelogram. Which statement should fill in…

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

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Q: Consider triangle FGH. Line JK is constructed parallel to line segment FH. From this, the table…

A: Given, JK || FH m∠GFH + m∠FGH + m∠FHG = 180° According to given,   Step 3: From the diagram we can…

Q: You are shown ZOPQ below whose measure is 50°. Draw an angle bisector of ZOPQ by clicking a dragging…

A: An angle bisector is a line or ray that divides an angle into two congruent angles.

Q: Based on the image below, determine the length of BC and the theorem that supports it: * B 6.4 2.3 O…

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Q: In AGHI, GI is extended through point I to point J, m/IGH = (r + 16)°, m/HIJ (4x - 12)°, and m/GHI =…

A: Given: In ∆GHI, GI¯ is extended through point I to point J. m∠IGH=(x+16)°m∠HIJ=(4x-12)°m∠GHI=(x+10)°…

Q: In the proof below, what is reason (1)? Given: WY is the angle bisector of ZXWZ MZXYW = MZZYW Prove:…

A: Given:  WY¯ is the angle bisector of ∠XWZ  m∠XYW = m∠ZYW

Q: In AOPQ, PQ = 19, QO = 11, and OP = 20. Which statement about the angles of AOPQ %3D must be true?…

A: In a triangle order of angles remain same as order of opposite sides always.

Q: Two students were asked to prove whether or not AABC- A DFE. 75° 8. 55° A B D 55° 50 16 12 AC…

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Q: Which of these statements properly demonstrates the angle addition postulate for the MLAFC? B 67 34"…

A: Angle addition property:- The angle addition postulate in geometry states that if we place two or…

Q: Complete the proof below by matching the correct reason to the statement in the table. Given: ZBAC =…

A: Given: ∠BAC≅∠EDC BC≅EC Since it is given that∠BAC≅∠EDC thus, the correct reason for their…

Q: A student draws AXY Z and AEFG so that mX = m/E = 29.5", XY = EF = 47 mm, and XZ = EG = 63 mm. Which…

A: We have,    Side(XY)= side(EF)    Angle(x)= Angle(E)    Side(XZ)=side(EG)

Q: Given the image below prove that AABC-ACBD and AABC~AACD . Reasons Bank A. CPCTC B. All right angles…

A: The objective is to Find the correct reasons for the statements.

Q: In AJKL, KL = 11, LJ = 12, and JK = 4. Which statement about the angles of %3D AJKL must be true? O…

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Q: If mz2 = mz7, then r||s by the converse of the 3/6 7/8 O alternate interior angles theorem O…

A: Given query is to find which theorem need to be applied if measure of angle 2 and measure of angle 7…

Q: A partially completed proof is shown. Given: Parallelogram PQRS with diagonals PRand SQ intersecting…

A: topic - quadrilateral

Q: In APQR, PR is extended through point R to point S, mZPQR = (3x + 12)°, mZRPQ = (3x – 11)°, and…

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Q: What is the missing reason in the two-column proof? Given: 1G bisects ZDAB and bisects ZDCB Prove:…

A: AC→ bisects ∠DAB & CA→ bisects ∠DCB in the following figure:

Q: Match the correct blank with the best response. Given: LG-LI; FH bisects LGFI Prove: AGFH-AIFH…

A: We will find the reasons for each column is as following.

Q: In the proof below, what is reason (5)? Given: WY is the angle bisector of ZXWZ MLXYW = MLZYW Prove:…

A: From the given statement  WY is the angle bisector of angle XWZWY is the ∠ bisector of ∠XWZ…

Q: 35. In AABC, AB = 6 cm, AC = 12 cm, mZA = 60°, and AC is the longest side. Which of the following…

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Q: A partially completed proof is shown. Given: KM 1 KJ and KM 1 MN ZJ ZN Prove: ΔΚLJ- ΔΜLΝ Statement…

A: Here we have to find the correct reason for similarity of two triangles by using the given…

Q: In the diagram below, z XWY and YWZ are adjacent. m XWY = 40° and mYWZ = 18°. W Live Use the angle…

A: Given.

Q: Suppose that square PQRS has 15-cm sides. G and H are on QR and PQ, respectively, so that PH and QG…

A: We will solve the following.

Q: 16 Given: ANEW = ACAR, EN = 11, AR = 2x - 4y, NW = x + y, %3D CA = 4x + y, EW Draw the triangles and…

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Q: Let ABC be a triangle and let X and Y be points on AB and AC, respectively. Let AX = 6AY = 3, XB=1,…

A: Given information: ABC be a triangle and let X and Y be points on AB and AC, respectively. AX=6,…

Q: Use a paragraph flow chart or two column proof to prove the angle congruency. Given CXY BXY CAX BAX…

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Q: A partially completed proof is shown. Given: KM 1KJ and KM 1 MN ZJ E ZN Prove: AKLJ - A MLN…

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Q: The table below is an incomplete proof to show that the measures of the interior angles of a…

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Q: What additional information is needed in order to prove that the triangles are congruent by the SAS…

A: We have to check

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

Q: Suppose that APQR is isosceles with base QR. Suppose also that mz P (2xr+ 56)° and mzQ=(4x+ 12)°.…

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