7/30/2019 Geometry Handouts

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Grade 7 Mathematics INTRODUCTION TO GEOMETRY

Geometry comes from the Greek words geo meaning earth and metre meaningmeasure. Therefore, geometry simply means earth measure.

Geometry is an ancient subject developed by the Egyptians and Sumerians, forwhich it was first developed by an ancient Greek philosopher named Euclid of

Alexandria the Father of School Geometry about 300 B.C. His book entitled

The Elements, one of the most famous books of all time, is used as a basic test inGeometry. Aside from Euclid, some of the greatest Greek contributors to thedevelopment of Geometry are Pythagoras (about 500 B.C) and Archimedes(about 212 B.C.).

Geometry, started as a practical subject in ancient Egypt and Babylonia, is a branchof mathematics concerned with the properties of space and of figures in space. Italso deals with shapes that we see in the world each day. In fact, no scientist,mathematician, or artist in the world can draw you a more natural example of apentagon than is seen in the beauty of a starfish. For you see, the greatest Masterof Geometry is God.

POINTS, LINES AND PLANES

In Geometry, we often talk of points, lines, rays, segments, planes, and solid figures.For today, we are focusing on the basic geometric figures or so-called theundefined terms in Geometry (points, lines and planes).

Everybody has experienced to draw lines, plot points, and create shapes with sides.For this activity, let us try to differentiate those geometric terms.

Activity 1Directions: Categorize the given definitions and descriptions listed on the boxaccording to its corresponding basic undefined term in Geometry.

POINT LINE PLANE

It is represented by a double-headed arrow. It has no dimension.It is usually shown as a four-sided shape. It is straight.It extends infinitely in two directions. It is represented by a dot.It is a definite location in space. It indicates position only but has no sizeor shape.It is the most basic geometric figure. It extends infinitely along its length andwidth.It refers to a flat surface. It has infinite length but has no width

7/30/2019 Geometry Handouts

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Grade 7 Mathematics INTRODUCTION TO GEOMETRY

Activity 2Directions: Give all possible names for each figure shown below.

n1. 2. 3. 4. A B C

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Exercises:

A. Identify what geometric figure is suggested by each of the following.

1. The intersection of Sta. Maria By-Pass Road and J.P. Rizal Street2. Construction paper3. The tip of a pencil4. A barbecue stick5. CD case6. A nail mark on the wall7. A shoelace8. North Luzon Expressway9. A red handkerchief10.Electric wires on posts

B. Draw the following figures.

1. Points X, Y and Z2. Plane A3. Line z4. Line HI5. Plane ABC

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