Question

Izan knows that Lines MN←→ and KL←→ are parallel, and KOLO=MONO. How can Izan prove that the slopes of MN←→ and KL←→ are the same?

a) Izan can use the slope formula to show the slope of MN←→ = -MONO and slope of KL←→ = -KOLO. By substitution, the slopes are equal.
b) Izan can use the definition of parallel lines to show that the slopes of MN←→ and KL←→ are equal since they are parallel.
c) Izan can use the definition of similar triangles to show that the slopes of MN←→ and KL←→ are equal.
d) Izan can use the slope formula to show the slope of MN←→ = -KOLO and slope of KL←→ = -MONO. By substitution, the slopes are equal.

Answer 1

Izan can prove the slopes of parallel lines MN↔ and KL↔ are the same by using their definition in geometry, which states that parallel lines always have identical slopes.

Step-by-step explanation:

To prove that the slopes of Lines MN↔ and KL↔ are the same, Izan can refer to the fact that parallel lines have identical slopes. This is a foundational concept in geometry that arises from the properties of parallel lines in a Cartesian coordinate system. When two lines are parallel, no matter where they are placed on the graph, they will never intersect each other and their slope values will be equal. Therefore, the correct answer is (b) Izan can use the definition of parallel lines to show that the slopes of MN↔ and KL↔ are equal since they are parallel.