Question

Shiro sketched coplanar lines m, n, and r on his homework paper. What other information is needed for Shiro's claim that lines m and n are parallel to be true?

A. The slope of line r
B. The length of line n
C. The measure of the angles formed by these lines
D. The color of the lines

Answer 1

Option C, 'The measure of the angles formed by these lines,' is the additional information needed to substantiate the claim that lines m and n are parallel.

Step-by-step explanation:

To substantiate Shiro's claim that lines m and n are parallel, the measure of the angles formed by these lines with a transversal would be needed. Parallel lines have equal corresponding angles when crossed by a transversal, and this property is fundamental in establishing parallelism geometrically. It's not necessary to know the slope of line r, the length of line n, or the color of the lines in order to determine whether lines m and n are parallel. Option C, 'The measure of the angles formed by these lines,' provides the relevant information to prove parallel lines in geometry.