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‹Better GutenbergMarks’ First Lessons in GeometryLesson Eleventh — Relations of Lines · 13 of 42Contents›

Marks’ First Lessons in Geometry

by Bernhard Marks

13 of 42 · Contents · Download EPUB

Lesson Eleventh Relations of Lines

Perpendicular Lines

What kind of angles do the lines a b and c d make with each other? (Diagram 11.)

Then they are perpendicular to each other.

What line is perpendicular to x y?

Why is it perpendicular to it?

What line is perpendicular to z 1?

When is a line said to be perpendicular to another?

Can a line standing alone be properly called a perpendicular line?

What two lines are perpendicular to the lines r s?

Is the line g h perpendicular to the line i j? Why?

What other line is perpendicular to the line i j?

Read three lines that are perpendicular to the line a b.

Parallel Lines

Do the lines k l, m n, differ in direction? Then do they form any angle with each other?

They are said to be parallel to each other.

Read four other lines that are parallel with k l.

What line is parallel with 2 10?

Why?

Lines are parallel with each other when they do not differ in direction.

Oblique Lines

What kind of angles do the lines u t and 8 9 form with each other?

Then they are said to be oblique to each other.

Lines are oblique to each other when they form oblique angles.

See Note C, Appendix.

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