Marcus is trying to probe the alternate interior angles theorem. Given that b // c and line a is a transversal, which proof can marcus use to accurately prove the alternate interior angles theorem

Q: The Converse of the Corresponding Angles Theorem states that if twO coplanar lines are cut by a…

A: The converse of the corresponding angles theorem states that if two coplanar lines are cut by a…

Q: Given that, in the figure below, ZCBP and ZDAP are both right angles, and BC has length 2, and AB…

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Q: Suppose AQRS and ATUV are congruent right triangles such that ZR is a right angle and ZV = 35°. What…

A: Given △QRS and △TUV are congruent triangles such that ∠R is a right angle and ∠V=35°. To find: ∠T…

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: Which of the following is true of alternate interior angles (AIA)? O AIA are congruent. O AIA are…

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Q: Show that the pair of bisectors of the angles between the straight lines (ax+by)?=c(bx-ay)², c>0 are…

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Q: every exterior angle is supplementary to its adjacent interior angle true or false

A: We will check if the statement is true.

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A: The theorem of converse of correspondingangles :   If two parallel lines are cut by a transversal,…

Q: Only isosceles trapezoids have two pairs of consecutive angles that are supplementary. Other…

A: Not all of the consecutive angles are supplementary. Only those between the two parallel sides are…

Q: III. Prove : If two lines are cut by a transversal so as to form a pair of equal alternate interior…

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Q: 4. If HK is the perpendicular bisector of FE, which of the following statements is not true. F H. O…

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Q: Given: line segment AB parallel to line segment CF ∠2 congruent ∠3 Prove: ∠1 congruent ∠3

A: The figure for the above question is given as: Given statements about the figure are: Line segment…

Q: 24. Use the diagram to write the vertical angles theorem. Given: AC intersects BD at E. Prove: ZAED…

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Q: 1. Are the following angles coterminal or not? Be sure to show some work. • 60° and -660°

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 1. Which is TRUE about a set of Vertical Angles shown in the figure 1? * Figure 1 Vertical angles…

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Q: In AWXY, XY = 10, YW = 15, and WX = 13. Which statement about the angles of AWXY must be true?

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Q: From the information given, can you prove the two triangles congruent using the HL Theorem? ZB and…

A: For two right triangles ABC and DEF,∠B=∠E  [ Right angles ]AB≅DE    [ given ]BC≅EF    [ given ]

Q: 1. Determine the principal angle for the following angles. a. 540° 137 b. 197 С. 4 2. Determine all…

A: solution written below

Q: 5. If LAMP and BMC are right angles, AM= CM and LA = LC, prove that AP = CB. C A M

A: 5. Use ASA congruence rule to prove that two triangles are congruent . If two triangles are…

Q: Opposite angles are congruent in an isosceles trapezoid. O True O False

A: In Isosceles trapezoid,

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: Answer the following statement with "always", "sometimes", "never", or "not enough information to…

A: We can answer the question as below.

Q: L is the midpoint of KN and MP, which rule will be used to justify and prove that both triangles are…

A: Two triangles are said to be congruent if their corresponding sides are of equal length and their…

Q: 2. Consider a square ABCD and an equilateral triangle BCE in its exterior. Let F be the midpoint of…

A: We have to proof as given in the question.

Q: ZA and ZB are supplementary angles. If mZA = (7x – 15)° and m ZB = (2x – 3)°, then find the measure…

A: Then we solve for x.

Q: The Pythagorean Theorem can be used to differentiate between acute and obtuse triangles. O True O…

A: Solving the problem by obtaining the Pythagoras theorem.

Q: What is the angle between the planes 3x + 2y + 4z = 4 and 3x -y+2z = 1 to the nearest degre %3D O…

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Q: Use AAS to prove the triangles congruent. Given: ZR and ZP are right angles. QR || SP Prove: AQPS =…

A: Given: ∠R and ∠S are right angles and QR∥SP are parallel lines

Q: Answer the following statement with "always", "sometimes", "never", or "not enough information to…

A: Corresponding angle  theorem When two parallel lines are intersected by a transversal the…

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A: The converse of the corresponding angles theorem states that if two coplanar lines are cut by a…

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: Use the diagram below to answer the question. 1/2 3/4 87 6/5 Given /1 /5, which theorem proves the…

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Q: Use the diagram below to answer the question. 1/2 3 4 8 7 6/5 Given 2 + 3 = 180", which theorem…

A: The figure is

Q: Answer the following statement with "always", "sometimes", "never", or "not enough information to…

A: Corresponding angles are congruent for parallel lines cut by a transversal Answer. Always Because…

Q: In part (a), prove that h || k. In parts (b) and (c), solve for x given that q || p and s || r,…

A: topic - lines and angles

Q: Given: AE = AB = CD B is the midpoint of ED Prove: AAEB =ACBD C S 18

A: Given that, AE≅ CBAB≅ CDB is the midpoint of ED                                           To prove…

Q: Let AC and BD be two line segments that bisect each other at E, with AC & BD. Prove that ABCD......…

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Q: The symmetric property of equality states that a segment or angle is congruent with itself. True O…

A: topic - properties The symmetric property of equality states that both sides of an equation are…

Q: Let AC and BD be two line segments that bisect each other at E, with AC & BD. Prove that ABCD......…

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Q: It is given that 21 and 22 are supplementary. Z1 and 23 are also supplementary, so 22/3. Since are…

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Q: When lines a and b are cut by transversal d, 22 and 27 are a pair of alternate exterior angles that…

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Q: What value of I would prove that ray AB is an angle bisector of ZCAD? C (2x+10)B (x+ 15)°

A: Given that ∠CAB=2x+10  , ∠BAD=x+15   and Ray AB is angle bisector of ∠CAD   i.e ∠CAB=∠BAD   i.e…

Q: Based on the image, which statement supports the following given information? 4 7. 8. 21 2 O…

A: From the figure, we see that, line m || line n , where line l is the transversal, For ∠1 ≅ ∠2, no…

Q: Every exterior angle is supplementary to its adjacent interior angle. O True O False

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Q: Provide a proof for the following theorem: Let EPAB and FQCD be two asymptotic triangles. If angle…

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Q: 17. When two parallel lines are cut by a transversal, then the alternate interior angles formed are…

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Q: In an isosceles trapezoid, each pair of base angles is congruent. True O False

A: An isosceles trapezium is a trapezium in which the non-parallel sides are equal in length.

Q: 5. If LAMP and LBMC are right angles, AM = CM and LA = LC, prove that AP = CB. C A M В

A: # we are entitled to solve one question at a time ,please resubmit other question if you wish to get…