The diagram shows two parallel lines, \( m \) and \( n \), intersected by a transversal, \( k \). Angles \( A \), \( B \), and \( C \) are marked in the diagram.A student has written a proof to demonstrate that the corresponding angles, \( A \) and \( B \), are congruent. The proof is outlined in the following table:| Statements | Reasons ||----------------------------------|---------------------------------|| 1. \( m \parallel n \) | Given || 2. \( \angle A \cong \angle C \) | Vertical angles are congruent || 3. \( \angle B \cong \angle C \) | Vertical angles are congruent || 4. \( \angle A \cong \angle B \) | Transitive Property |The task asks to evaluate the validity of Reasons 2 and 3:A. Both Reason 2 and Reason 3 are correct as shown in the table.B. Reason 2 is correct, but Reason 3 should be "Alternate interior angles are congruent".C. Reason 2 should be "Alternate interior angles are congruent," but Reason 3 is correct.D. Both Reason 2 and Reason 3 should be "Alternate interior angles are congruent".

Answered: Image /qna-images/answer/1c5a3a2f-7173-4325-b5cb-021b21de1bb4.jpg

The diagram below shows two parallel lines, m and n, cut by a transversal, k. Angles A, B, and C are shown in the diagram. B. A student writes a proof to show that the corresponding angles, A and B, are congruent. The student's proof is shown below. Statements 1. m ||n Reasons Given Vertical angles are congruent 2. ZA= ZC Vertical angles are congruent 3. ZB LC 4. ZA ZB Transitive Property Which option describes the validity of Reasons 2 and 3? A Both Reason 2 and Reason 3 are correct as shown in the table. Reason 2 is correct, but Reason 3 should be "Alternate interior angles are congruent". C. Reason 2 should be "Alternate interior angles are congruent," but Reason 3 is correct. D. Both Reason 2 and Reason 3 should be "Alternate interior angles are congruent". O O B.

The diagram below shows two parallel lines, m and n, cut by a transversal, k. Angles A, B, and C are shown in the diagram. B. A student writes a proof to show that the corresponding angles, A and B, are congruent. The student's proof is shown below. Statements 1. m ||n Reasons Given Vertical angles are congruent 2. ZA= ZC Vertical angles are congruent 3. ZB LC 4. ZA ZB Transitive Property Which option describes the validity of Reasons 2 and 3? A Both Reason 2 and Reason 3 are correct as shown in the table. Reason 2 is correct, but Reason 3 should be "Alternate interior angles are congruent". C. Reason 2 should be "Alternate interior angles are congruent," but Reason 3 is correct. D. Both Reason 2 and Reason 3 should be "Alternate interior angles are congruent". O O B.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

15. Determine whether the triangle are similar by side-angle-side similarity. if yes write a similar statement
In the image below, indicate if ZBAE, ZAEF, and ZEFG are either acute, obtuse, straight or right angles. Select the correct answer below. A D PIONS O/EFGand /BAE are obuuse,
(b) Three triangles ABC, DEF, and GHJ are drawn below (not to scale). Establish which, if any, are similar. AÑA √12
Give the reason for the triangles to be similar (AA~, SAS~, or SSS~) and write a similarity statement. x Clear * Undo A Redo P R. 4 Reason: 15 Similarity Statement: A PZF 12
3
Circle (indicate) the correct answers to complete the sentences. A. The statement angle ABC ~ LMN says that ABC is [similar/congruent] to LMN. The statement ABC ~ LMN says that ABC is [similar/congruent] to LMN. B. If ABC ~ LMN, then : Angle A corresponds to [L/M/N] Angle B corresponds to [L/M/N] Angle C corresponds to [L/M/N]
V. Express each statement in “if-then” form. 4. Each angle of an equilateral triangle has a measure of 60 degree. 5. I find a five-dollar bill, I’ll take you to the movies.
5. Which statement is NOT correct? A. An exterior angle of a triangle can equal one of the interior angles of the triangle. B. An exterior angle of a triangle can be acute, right, or obtuse. С. C. A triangle can have two exterior angles that are obtuse angles. D. A triangle can have two exterior angles that are acute angles. 6. Which of the following statements is NOT true? A. In an isosceles trapezoid, the diagonals are congruent. B. In an isosceles trapezoid, opposite angles are supplementary. C. In an isosceles trapezoid, a diagonal forms two congruent triangles. D. In an isosceles trapezoid, the diagonals form four small triangles, and two of the triangles are congruent.