Given: a and b are parallel and c is a transversal.
Prove: ∠2 ≅ ∠7
Parallel lines b and a are cut by transversal c. On line b where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 5, 6, 2. On line a where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 3, 7, 8, 4.

Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent.

We know that lines a and b are parallel and that line c is a transversal because that is given. We can tell that angles 2 and 5 are congruent because
angles are congruent. Angles 5 and 7 are congruent because angles by parallel lines cut by a transversal are congruent. Therefore, angles 2 and 7 are congruent based on the

.

Question

02-07-2022
Mathematics

Answered

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Given: a and b are parallel and c is a transversal.
Prove: ∠2 ≅ ∠7
Parallel lines b and a are cut by transversal c. On line b where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 5, 6, 2. On line a where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 3, 7, 8, 4.

Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent.

We know that lines a and b are parallel and that line c is a transversal because that is given. We can tell that angles 2 and 5 are congruent because
angles are congruent. Angles 5 and 7 are congruent because angles by parallel lines cut by a transversal are congruent. Therefore, angles 2 and 7 are congruent based on the

.

Sagot :

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AFOKE88 AFOKE88 · Answer 1 · 2022-07-04T14:13:56-04:00

The missing words to complete the proof are respectively; Vertical Angles; Corresponding angles; Transitive Property

How to prove congruent angles?

The image of the transversal line is attached.

1) We know that lines a and b are parallel and that line c is a transversal because that is given.

2) We can tell that angles 2 and 5 are congruent because vertical angles are congruent.

3) Angles 5 and 7 are congruent because corresponding angles by parallel lines cut by a transversal are congruent.

4) Therefore, angles 2 and 7 are congruent based on the transitive property.

Read more about Congruent Angles at; https://brainly.com/question/1675117

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viven619 viven619 · Answer 2 · 2022-08-04T02:56:51-04:00

viven619 viven619

04-08-2022

Answer: vertical, corresponding, and transitive property

Step-by-step explanation: I got the correct answer on Edge 2022. The answer is correct trust me! Proof is shown down below.

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How to prove congruent angles?

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