Which diagram shows parallel lines cut by a transversal?

Mathematics

2 answers:

Ann [662]4 years ago

8 0

Answer:

The third diagram.

Step-by-step explanation:

When we have two parallel lines cut by a transversal, vertical angles are congruent; alternate interior angles are congruent; alternate exterior angles are congruent; corresponding angles are congruent; and same-side interior angles are supplementary.

In the first diagram, we have two angles on the same side of their respective parallel lines and the same side of the transversal. These are by definition corresponding angles. Since they are not congruent, these lines are not truly parallel.

In the second diagram, we have two angles on opposite sides of the transversal and outside the block of parallel lines. These are by definition alternate exterior angles. Since they are not congruent, these lines are not truly parallel.

In the third diagram, we have two angles inside the block of parallel lines and on the same side of the transversal. These are by definition same-side interior angles. Since they are congruent, these are parallel lines.

UkoKoshka [18]4 years ago

7 0

The third one shows parallel lines cut by a transversal

You might be interested in

How to you solve -4a -8 <= -44 or 6-9a >= -12

dimaraw [331]

The answer to your question is a≥9 or a≤2

8 0

3 years ago

Write the fraction as an expression using a negative exponent other than -1. 1/100 A. (1/10)^-2 B. 10^-2 C. (-10)^2 D. 1/10^-2

Olegator [25]

$a^{-n}=\left(\dfrac{1}{a}\right)^n\\\\\dfrac{1}{100}=\left(\dfrac{1}{10}\right)^2=10^{-2}$

Answer: B. 10^-2

6 0

4 years ago

If a polynomial cannot be written as the product of two other polynomials (excluding 1 and minus−1), then the polynomial is sa

Anni [7]

In mathematics, a polynomial is an algebraic expression containing more than two terms. When the polynomial could not be reduced to a lower degree, it is classified as a prime polynomial. Just like whole numbers, a prime polynomial cannot be broken down into factors except 1 and by the number itself. Take for example, the polynomial x² + 5x + 6. It can be reduces to its factors x=-2 and -3. That would be expressed to x² + 5x + 6 = (x+2)(x+3). But if the polynomial is, say, x² + 5x + 7, there is no roots that are whole numbers. Therefore, it can't be reduced into factored groups because it is a prime polynomial.

5 0

3 years ago

Factor completely: a^n+a^(n+1) 100 Points!

zlopas [31]

Answer: