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‹Better GutenbergMarks’ First Lessons in GeometryLesson Twenty-Sixth — Kinds of Parallelograms · 28 of 42Contents›

Marks’ First Lessons in Geometry

by Bernhard Marks

28 of 42 · Contents · Download EPUB

Lesson Twenty-Sixth Kinds of Parallelograms

Rhomboids

How many quadrilaterals in the diagram? (Diagram 21.)

How many parallelograms?

Has the parallelogram a d any right angle?

It is called a “rhomboid.”

A rhomboid is a parallelogram which has no right angle.

Name five other rhomboids.

What three names may be given to Fig. 2?

Why is it a quadrilateral?

Why a parallelogram? Why a rhomboid?

Rhombs

Are the four sides of the rhomboid a d equal to each other?

Are the four sides of the rhomboid e h equal to each other?

If a triangle has its three sides equal to each other, what do you call it?

Then when a rhomboid has its sides equal to each other, what may it be called?

An equilateral rhomboid is called a rhombus.

A rhombus is an equilateral rhomboid.

See Note D, Appendix.

Name two other rhombuses, or rhombs.

What four names can you give to Fig. e h?

Why a quadrilateral? Why a parallelogram? Why a rhomboid? Why a rhombus?

Rectangles

Has the parallelogram i l any right angles?

How many?

It is called a “rectangle.”

A rectangle is a right-angled parallelogram.

Name four other rectangles.

What three names may be given to Fig. i l?

Why a quadrilateral? Why a parallelogram? Why a rectangle?

Squares

Has the rectangle i l its four sides equal?

Has the rectangle m p its four sides equal?

It is called a “square.”

A square is an equilateral rectangle.

Name another “square.”

What four names may be given to Fig. m p?

Why a quadrilateral? Why a parallelogram? Why a rectangle? Why a square?

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