1. Prove that if two alternate exterior angles formed by two lines and a transversal are congruent, then the lines are parallel. (Use angles ZABG and ZECF as the two alternate exterior angles. Use only propositions E. 1 – E.16. Do not use explicitly nor implicitly Euclid's fifth postulate. D G fir. A B H C F E

Q: In the accompanying diagram, AB CD and intersects transversal GH at points E and F respectively.…

A: Consider the following figure: AB↔∥CD↔ GH↔ is transversal.

Q: 2. Given that p = (5,-2,4), (3,-4,-2), and F = (-3,2,1), calculate the following. a) p q b) the…

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Q: Which of the following lines (line segments) are concurrent? a. perpendicular-bisectors of the…

A: We know angle bisectors of a kite are concurrent.

Q: 3. The following shapes are similar. JK: ST is 2:1 and the length of JN is 6/2. What is the length…

A:

Q: Suppose that the lines AB and CD intersect at a point P such that PA PB PC PD and such that A is…

A: Given that the lines AB and CD intersects at a point P such that

Q: Choose all the angles that must be congruent to 23 assuming that 1₁ and 12 are parallel 2 22 24 26…

A:

Q: Draw a pair of parallel lines with a transversal passing through the lines (and not perpendicular to…

A: We have a pair of parallel lines a and b with a transversal line t. Here line b is translation of…

Q: Which of the following statements is/are a restatement of Euclid's Fifth Postulate? I. Two parallel…

A: which of the following statements is/are a restatement of euclid's fifth postulate? i) two parallel…

Q: 3. Write a formal proof for the following tiheorem. Include given and prove statements, a drawing,…

A: given,        If the exterior sides of two adjacent angles form a straight line, then these angles…

Q: 1. Which of the following requires a proof? A. definition B. postulate C. theorem D. undefined terms…

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Q: 43. Classify each given as one of the postulates that can be used to prove lines m and n are…

A: concept:   Converse of Alternate Exterior Angles TheoremThe converse of alternate exterior angle…

Q: In this figure, lines a and b are intersected by line t. Which of these statements proves that lines…

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Q: 1. Given: line 1 and 2 are parallel lines and cut by a transversal lin of the following represents…

A: We will find the corresponding angles.

Q: In the figure, I|| m and linet is a transversal of lines l and m. s/6 87 1/2 4/3 Which of the…

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Q: T. Given: ZZ and ZK are right angles; KT ZG Prove: AJZG S AJKT STATEMENTS REASONS 1. ZZ and ZK are…

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Q: Identify the following pairs of angles as vertical, corresponding, alternate interior, alternate…

A: we will find the required.

Q: Which of the following statements is/are a restatement of Euclid's Fifth Postulate? I. Two parallel…

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Q: D e If lines AB and CD are parallel, then angles c and e are A) complementary. congruent.…

A: Draw a schematic diagram of given figure. Given data,                  AB | | CD A transverse line…

Q: XZY and <IZV

A: Note that : Linear pair of angles are formed when two lines intersect each other at a single point.…

Q: 2 3 5/6 a) Alfredo stated that Angle 6 and Angle 2 are supplementary. Is he correct? Identify the…

A: m and n are parallel lines

Q: In R3, for a plane and a point outside the plane; I. From the point, only one perpendicular line can…

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Q: 3. Complete the statements. If you dont know all of them, at least answer to a few please. A) In R2…

A: The four statements that need to be filled with the exact solution.