Which lines are parallel if m<2 = m<8? Justify your answer.
To determine which lines are parallel, we need to examine the given information and apply the properties of parallel lines.
If m<2 = m<8, it means that the measure of angle 2 is equal to the measure of angle 8.
According to the Alternate Interior Angles Theorem, when two parallel lines are intersected by a transversal, the alternate interior angles are congruent. So, if angle 2 and angle 8 are equal, it indicates that lines 2 and 8 are parallel.
Therefore, lines 2 and 8 are parallel based on the given information.
To determine which lines are parallel, we need to know the relationship between their slopes. If the slopes of two lines are equal, then the lines are parallel.
In this case, we are given that the measure of angle 2 (m<2) is equal to the measure of angle 8 (m<8). However, this information alone does not provide direct information about the slopes of the lines.
To determine the relationship between the slopes, we need additional information, such as the context or specific geometric properties of the lines. Without further details, it is not possible to definitively say which lines are parallel based on the given information about angles 2 and 8.
If you provide more context or information about the lines, I can further assist you in determining which lines could potentially be parallel.
To determine which lines are parallel, we need to compare the slopes of the given lines. If the slopes of two lines are equal, then those lines are parallel.
The notation "m<2 = m<8" indicates that the slopes of lines 2 and 8 are equal. Note that "m" represents slope. So, we are comparing the slopes of lines 2 and 8.
To find the slope of a line, we typically need to know two points on the line. However, in this case, since we only have the slope given, we can conclude that any two points on lines 2 and 8 will have the same slope.
Therefore, any two points on lines 2 and 8 can be chosen, and their slopes will always be equal. Therefore, we can conclude that lines 2 and 8 are parallel.