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
A triangle is not a polygon because it only has three sides. O True O False ch M USC F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 ム+ %23 2$ % & 3 4 6 7 8 9. つ

1. Write the six elements (i.e., the 3 sides and the 3 angles) of AABC. Based on Sides: Scalene, Isosceles and Equilateral triangles. Make paper-cut models of the above triangular shapes. Compare your models wi )Based on Angles: Acute-angled, Obtuse-angled and Right-angled triangles The s YON kHow hor angles. ite to the side TRY THESE 2 Write the: O Side opposite to the vertex Q of APOR O Angle opposite to the side LM of ALMN D Vertex opposite to the side RT of ARST i Look at Fig 6.2 and classify each of the triangles according to its (a) Sides (b) Angles OINIL CE 2020/12/6 14:09 JOT SH
Can you write the reason at all the way out and explain it and wipe the reasoning like the way it's written on the image
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,
2. Which statement about the picture below is true? 4 The angles are supplementary. Both angles appear to be acute angles. Both argles are adjacent. The angles are complementary. 3,
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
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.